era/2013/interop/op/01 - European Railway Agency
Transcription
era/2013/interop/op/01 - European Railway Agency
ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben Technical Manager Design Engineer Pierre Tourbach Ramon Volgers Karin de Groot Project Manager Project Engineer 12th Decembre 2013 Data collection Manager ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Disclaimer The information and views set out in this study are those of the author(s) and do not necessarily reflect the official opinion of the Agency. The Agency does not guarantee the accuracy of the data included in this study. Neither The Agency nor any person acting on The Agency’s behalf may be held responsible for the use which may be made of the information contained therein. Abstract Optimized interaction of pantographs with the overhead contact line (OCL) is needed to ensure effective and reliable operation of trains under given circumstances and to ensure the interoperability of pantographs, i.e. the capability to operate under OCLs from different national railway networks. This capability concerns the compatibility of the OCL geometry and the pantograph profile and sway as the overhead contact line is designed for the accommodation of a particular pantograph profile (length and shape). Pantograph sway is generated by dynamical behaviour of the vehicle. TSI LOC&PAS CR sets out that at least one of the pantographs to be installed on an electric unit shall have a head geometry type compliant with 1950 or 1600 mm (Euro pantograph, EP). This report describes and compares the current status of Infrastructure- and OCL-designs, existing design rules and calculation methods, national or based on TSI ENE and EN 15273. Contact wire deflection is caused by wind load essentially and the maximum lateral position determines the span lengths. For the smaller EP usable contact wire lateral positions are smaller. Aims of the study are to assess the actual design margins and the possibility to adapt OCL-designs making them suitable for both pantographs without any changes or with limited changes. i ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Project ERA/2013/INTEROP/OP/01 Study on Interface EURO/1950 pantographs and OCL design Executive summary As a part of their dynamic behaviour railway vehicles sway, a movement that is primarily caused by track roughness and irregularities, cant deficiency and wind loading. The sway of pantographs on vehicles has to be limited to avoid infringement of mechanical and electrical clearances with respect to infrastructure, and to prevent dewirement of the contact wire from the pantograph during windy conditions [bibliography (1)]. The design of an OCL depends therefore on constraints like wind load, track layout, rolling stock and pantographs being used and thus results in specific OCL dimensions for a line or network (span length, stagger, contact wire height, system height …).The methods for calculating the influences of the constraints are mainly described in European standards, completed by country-specific sets of rules, referred to as National Technical Rules (NTRs). This evolves from the fact that TSI sets out basic parameters, such as maximum lateral deviation of the OCL, but many assumptions and different rules are used to calculate this parameter. Therefore maximum authorized span lengths are different in the various European Union Member States, even when the OCLs installed are in some cases similar. Importantly, NTRs are used to maintain technical compatibility between new assets, which shall conform to TSIs, and existing assets or processes that do not conform to TSIs. ii ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Historically, throughout Europe, the OCLs were designed for various local trains, with specific pantographs and country-specific laws for wind, as illustrated in figure 1. System design goals were different in various countries: small 1450 mm pantographs to limit clearance problems vs. large 1950 mm or even wider pantographs to ease OCL geometric layout. Figure 1 : Pantograph heads in Europe according to EN 50367:2006 iii ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 After introduction of the 1600 mm pantograph, two big areas remained on the conventional network: areas where a 1600 mm is accepted, but not the 1950 mm (green countries) and areas where 1950 mm is accepted, but not the 1600 mm (purple countries) as illustrated in figure 2. Belgium, as far as the conventional network is concerned, accepts both pantographs, but not on its high speed network. Spain accepts both pantographs on the high speed network, but the conventional network has not been checked for the 1600mm pantograph. Figure 2 : Pantograph heads in Europe – 2 big areas In an effort to clear this 1600/1950 barrier in Europe the research reported here puts forward two main objectives: to provide to the ERA a clear analysis from the technical and economic point of view concerning the parameters to design and adapt OCL across the EU Railway Network to make it suitable for both 1950 mm and 1600 mm pantographs to provide the necessary input for a possible second phase of this research next year and future studies to be launched by ERA To achieve these objectives, all necessary parameters have been identified including their weight (influence) in the final result (e.g. ep values). The retrieved parameter list was summarized in a questionnaire and checklist which have been addressed to different Infrastructure Managers (IMs) to know their values for each parameter. This questionnaire is added in annex A. In the framework of the project a criticality analysis has been performed to identify design margins and excessively large safety factors by analyzing the existing formulas and other design rules, OCL design targets, tolerances, clearances, wind influence (OCL and vehicle) coincidence of worse case conditions, (extreme) operational conditions etc. iv ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Two main problems might arise when operating pantographs on an OCLs for which it was not designed: dewirement of the pantograph during windy conditions when using the smaller 1600 mm pantograph on a 1950 mm line or network infringement of mechanical and electrical clearances with respect to the infrastructure when using the larger 1950 mm pantograph on a 1600 mm line or network It is clear that both problems cannot occur simultaneously on a line or network as the OCLs are already designed or adapted for the use of one of these two pantographs. Besides these two main problems, local problems might occur in switches and overlaps: bad transitions between different contact wires when using the larger 1950 mm pantograph on a 1600 mm line or network dewirement of the contact wire in tangential switches when using the smaller 1600 mm pantograph on a 1950 mm line or network non respect of clamp or dropper free zones leading to early wear of contact wires when using another type of pantograph A general problem might also occur as the contact strips of the larger 1950 pantograph might not being used optimally anymore when circulating on a network suited for the smaller 1600 pantograph. These kinds of networks mostly evolved from networks suited for the small 1450 pantograph and thus have low stagger values compared to the contact strip length of a 1950 pantograph, e.g. 200 mm compared to 1030 mm. Such conditions will cause an even more unequally distributed wear along the contact strips. Addressing this issue shall be treated in a separate study. To analyse the above-mentioned problems, 6 countries were chosen by ERA from the two big areas: Belgium, France, Germany, Italy, Poland and Spain. The first main problem, viz. dewirement, has been addressed by the calculation of the maximum span length and lateral deviation of the contact wire under lateral wind conditions. This problem occurs in the following countries: Belgium, Germany, Poland and Spain. The second main problem, viz. infringement, has been addressed by a verification of the mechanical and electrical pantograph gauge on straight lines and curves. This problem occurs in Belgium, France and Italy. Dewirement For the dewirement problem, the country-specific formulae and design rules were analysed and described. From the information retrieved from the IMs, critical track and train speed conditions were extracted and this was used to build a virtual track lay out. As a next step, the country-specific data was implemented in our software and the result was compared to the data received from the IMs to prove the validity of the approach. More specifically, by using our software the maximum lateral deviation caused by a perpendicular wind on a specific type of OCL was calculated for the critical spans and stagger values indicated by the IMs. The results were compared to the values authorized by the IMs. As expected, by applying the country specific design parameters, the use of smaller pantographs on OCLs designed for wide pantographs seems impossible in some cases (Germany). After all, for economic reasons the spans were stretched to the maximal allowable value given the countryspecific design parameters and calculation methods. Another unsurprising result is that the maximum allowable span lengths for 1600 mm pantographs are smaller than those authorized for their 1950 mm counterparts, at least when the network has been designed solely for a 1950 mm. On the other hand dewirement due to blow-off of the OCL seems a rare event, indicating that the currently employed calculation methods and limits are on the conservative side. v ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 As a next step, the applicable European standards and UIC leaflets were critically analysed resulting in a proposal for wider limits for the maximum allowable lateral deviation than commonly in use. It shall however be noted that current TSI requirements do not only provide fixed value limits for each type of pantograph, i.e. 40 cm for a 1600 mm pantograph and 55 cm for a 1950 mm pantograph, but also state that values shall be adjusted taking into account the movement of the pantograph and track tolerances. This shall be done according to annex E of the TSI ENE CR, which in its turn refers to the methods described in EN 15273. The novel proposal presented in this study adapts these methods. Finally, it was shown that by combining a modification in the stagger patterns with these wider limits for lateral deviation, the 1600 mm pantograph can be allowed on networks designed for the 1950 mm pantograph, at least for straight tracks and curves with radii above 5000 m. After all, changing the stagger pattern, without positioning the contact wire too much in the center of the track, i.e. without limiting the zigzag below the recommended value of 50cm per 100m track , is a measure that can be relatively easily implemented to accommodate the 1600mm pantograph while keeping risks of dewirement at least as low as they are now. Another measure that could be taken is lowering the contact wire height, since its proportional relation to the sway of the pantograph. However, due to the relatively low contact wire heights already employed, the impact on the maximum lateral deviation remains negligible. By taking into account the analysis (ANA_1) summarized above, it is possible to conclude that there was no increased risk in running trains with 1600mm pantographs on straight tracks equipped with larger spans initially destined for a 1950mm pantograph. At this point, no further increase of the limits for maximum allowable lateral deviation is considered. It is however to be expected that a further relaxation of these limits is probably due to: the influence of the lateral deviation limits on the real dewirement probabilities are estimated in the second phase of this study (ANA_2) and a comparison of the calculation methods described in the European standards with real wind blowoff measurements will be performed. Infringement Mechanical and electrical clearance envelopes are well defined by EN 15273-1:2013, Gauges - Part 1: General - Common rules for infrastructure and rolling stock, and EN 15273-3:2013, Gauges - Part 3: Structure gauges. Each IM was asked if they apply these standards and which values were used for the parameters included in these standards which only recommend values for most parameters. Informative annex B of EN 15273-3:2013 contains recommended values for calculation of the structure gauge and calculation examples in its table B.1, which can be found in table 3 further in this report. Dedicated chapters of these standards deal with specific rules for pantograph gauges and how to calculate them. From these general rules critical cross sections at 'minimum stagger' for each type of OCL were drawn including a drawing of the 1950mm pantograph gauge according to the above mentioned calculation methodology and track parameters. This immediately allowed visual verification of the mechanical clearance between the swayed and uplifted 1950mm pantograph and neighbouring parts of the generic OCL support and registration arrangements. Figure 3 below shows an example of the expected position of 1950mm pantograph on an SNCF/RFF OCL type V200 in a curve of 3000m with a maximum cant of 158mm. vi ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 3 : Example of a complete SNCF registration arm assembly combined with a mechanical 1950mm pantograph gauge including mast deflection Verification that the swayed and uplifted pantograph, together with surrounding mechanical and electrical clearances, remains within the electrification clearance envelopes used during electrification allocation design, essential to assure clearance to bridges, signal structures and station awnings, has only been done for some problematic examples provided by the IMs. After this first phase described above (ANA_1), it is possible to conclude that there was no increased risk for infringement except in presence of civil structures and station awnings. Infrastructure registers though were not provided nor analyzed, so it wasn’t possible to estimate the scale of these problems apart from the two examples given for France and Italy. In the second phase (ANA_2) a dynamic analysis is made to determine the probability of a dewirement of 1600 mm pantographs in 1950 mm network. Because of the results of ANA 1, only the 1950 mm networks of Belgium, Poland and Germany have been investigated. For analysis software has been used to calculate the position of the pantograph according to EN 15273. The probability of a dewirement has been calculated based on a Monte Carlo simulation for each train-track-curve situation. The simulations have been carried out according to the design rules and for an optimized stagger. Conclusion ANA 2 on the data of Belgium: Optimisation of the position of the stagger will lead to improved wire positions and slightly lower probabilities for leaving the conducting/working range of the 1600 mm pantograph. In reality this is already the case as the optimized rules reflect current installation better than the provided information. vii ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 If the 1200 mm conducting zone of the 1600 mm panto is enlarged to 1435 mm by including a part of the insulating end horns of the pantograph, the dewirement probability becomes zero for the situation according to the current standards and the optimized rules. Conclusion ANA 2 on the data of Poland: By optimising the stagger in curves, the dewirement probability becomes very close to zero for the 1600 mm pantograph with a conducting zone of 1200 mm. The ICE train sets have the highest probability of leaving the conducting/working range of the 1600 mm panto. If the 1200 mm conducting zone of the 1600 mm panto is enlarged to 1435 mm by including a part of the insulating end horns of the pantograph, the dewirement probability becomes zero for the optimized situation. Conclusion ANA 2 on the data of Germany: Optimisation of the position of the stagger will lead to improved wire positions and lower probabilities for dewirement and for leaving the conducting/working range of the 1600 mm panto; 1950 mm pantograph: contact wire incidentally leaves the 1450 mm working zone, but not the 1550 mm conducting zone; 1600 mm pantograph: for all types of trains the contact wire frequently leaves the 1200 mm conducting/working zone on curves of 4000 m or less, but never leaves the safe zone. Thus there is no risk of dewirement when stagger is adapted in the optimised situation. viii ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 1 shows a summary of the above stated problems and the results of phase ANA_1 and ANA_2 for each country concerned by the study: representatives types of OCL design to be examined were defined by the corresponding IMs. Table 1 : OCL/Pantograph: researched problems and results Main problem Country Belgium OCL name Network Type Use of 1600 mm Use of 1950 mm on 1950 mm network on 1600 mm network No extra risk (except on non-TSI EMU !) Possible on straight tracks and large curves Possible on straight tracks and large curves Cn-107 Conventional Re100 Conventional Re160 Conventional CNCu Conventional No data NA 2C120-2C-3 Conventional No extra risk NA YC150-2CS150 Conventional No extra risk NA Belgium R1-350r High speed NA France V200 Conventional NA Spain EAC350 High speed NA No extra risk Italy 320 FF 440 FR NA No extra risk towards OCL except in stations and tunnels Germany Dewirement France NA NA NA Poland Clearance infringement Conventional No extra risk except transitions in switch zones No extra risk 1 towards OCL except in tunnels It is possible to adapt OCL-designs making them suitable for both pantographs with limited changes on the majority of the networks, but intervention is necessary on some locations. 1 switch zones to be studied ix ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 I. Table of contents Abstract ................................................................................................................................................... i Study on Interface EURO/1950 pantographs and OCL design ......................................................... ii Executive summary ............................................................................................................................... ii I. Table of contents ............................................................................................................................ x II. Introduction ............................................................................................................................ 1 A. B. C. Background .............................................................................................................................. 1 1. Current European requirements and principles ............................................................... 1 2. ERA Objective ................................................................................................................. 7 3. Statement of the problem - Preliminary analysis by ERA and the OCL SG .................... 8 Detailed description of the tasks to be performed under the study ....................................... 11 1. MET_1 (linked to ANA_1): Methodology ....................................................................... 11 2. ANA_1: Analysis of current OCL design rules ............................................................... 11 3. ANA_2: Probability analysis of 1600 in 1950 network and vice versa .......................... 11 4. Three extreme situations + normal situation ............................................................... 12 5. General remark .............................................................................................................. 12 Summary of the study carried out .......................................................................................... 13 1. III. Research method .......................................................................................................... 13 ANA_1: Analysis of current OCL design rules ................................................................. 17 A. B. IV. Questionnaires/checklists ...................................................................................................... 17 1. Infrabel (Belgium) .......................................................................................................... 17 2. DB (Germany) ................................................................................................................ 21 3. PKP (Poland) ................................................................................................................. 25 4. ADIF (Spain) .................................................................................................................. 26 5. SNCF/RFF (France) ...................................................................................................... 28 6. RFI (Italy) ....................................................................................................................... 30 7. Summary ....................................................................................................................... 32 Results and discussion .......................................................................................................... 34 1. Wind deflection .............................................................................................................. 34 2. Clearance ...................................................................................................................... 50 3. Comparison between mast deflection values and stagger tolerances .......................... 58 ANA_2: Probability analysis of 1600 in 1950 network and vice versa ............................ 60 A. Dynamic analysis ................................................................................................................... 60 1. Goal ............................................................................................................................... 60 2. Approach ....................................................................................................................... 60 3. Program ......................................................................................................................... 60 x ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 4. Vehicle input data .......................................................................................................... 64 5. Track input data ............................................................................................................. 65 6. OCL input data............................................................................................................... 66 B. Pan sway limit exceedance probability build-up .................................................................... 67 C. Results and discussion .......................................................................................................... 68 D. V. 1. Belgium .......................................................................................................................... 69 2. Poland ............................................................................................................................ 73 3. Germany ........................................................................................................................ 78 Graphical explanation of the probabilities .............................................................................. 82 Economic analysis ............................................................................................................... 85 A. Generalized use of a 1600-pantograph – impact on Member States currently using 1950pantograph ...................................................................................................................................... 85 1. Germany ........................................................................................................................ 85 2. Poland ............................................................................................................................ 85 B. Generalized use of a 1950-pantograph – impact on Member States currently using 1450 or 1600-pantograph ............................................................................................................................. 85 C. VI. 1. Belgium .......................................................................................................................... 85 2. France ............................................................................................................................ 85 3. Italy ................................................................................................................................ 86 Economic evaluation .............................................................................................................. 86 Recommendations ............................................................................................................... 87 A. VII. Points to discussion ............................................................................................................... 87 1. Pantograph flexibility coefficient .................................................................................... 87 2. Differences between UIC 606-1 and TSI ENE CR/EN 50119 ....................................... 88 3. Transverse track defects ............................................................................................... 88 4. Uplift ............................................................................................................................... 88 Conclusions .......................................................................................................................... 90 A. Generalized use of a 1600 – pantograph............................................................................... 90 B. Generalized use of a 1950 – pantograph............................................................................... 90 C. General conclusion ................................................................................................................ 90 VIII. Acknowledgements ............................................................................................................. 91 IX. Bibliography ......................................................................................................................... 92 xi ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 II. Introduction A. Background 1. Current European requirements and principles 1.1 TSI ENE HS:2008: In table 4.2.9, Permissible data for overhead contact line geometry, it is demanded for all categories of high speed lines that the permissible lateral deviation of the contact wire in relation to the track center line under action of a cross wind has to be taken from: The smaller value of contact wire deviation of either 0,4 m or (1,4 – L2) m. The permissible contact wire deviation under the action of a cross wind shall be calculated for contact wire heights above 5,3m and/or on curved track. It shall be calculated using the half-width of the dynamic envelope of the European pantograph passage, L2. L2 shall be calculated in accordance with EN 50367:2006 Annex A.3 (see figure 4). 1.2 EN 50367:2006 2: In tables 2 and 3, Overhead contact line characteristics for a.c. and d.c. systems, it is demanded that: The maximum lateral deviation of the contact wire from the track center line under action of crosswind shall be 0,4m. This value is valid for contact wire heights up to 5,3m and straight line. For contact wire heights greater than 5,3m or curved track this value shall be adjusted in accordance with A.3. This annex A.3, Kinematics envelope for the passing of European pantograph head, stated: Figure 4 shows the space necessary for the passing of European pantograph head on interoperable lines. The value of L2 is obtained according to UIC-leaflet 505, Version 1997 from: L2 = 0,74 m + 0,04 * H + 0,15 * H * C - 0,075 * C + 2,5 / R Figure 4 : Space for the passing of European pantograph head on interoperable lines 2 This standard has been superseded by the 2012 version, which doesn’t include the paragraph concerning the kinematic envelop anymore as it only applies to the EP and specific conditions. Instead EN 15273 shall be used now. 1/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1.3 TSI ENE CR:2011 Paragraph 4.2.13.3 Lateral deviation, states: The maximum permissible lateral deviation of the contact wire normal to the design track center line under the action of cross wind is given in table 2. Table 2 : Maximum lateral deviation The values shall be adjusted taking into account the movement of the pantograph and track tolerances according to Annex E. This annex E states: E.4. Calculation of maximum lateral deviation of contact wire The maximum lateral deviation of the contact wire shall be calculated by taking into consideration the total movement of the pantograph with respect to the nominal track position and the conducting range (or working length, for pantographs without horns made from a conducting material) as follows: dl = bw,c + bw - b’h,mec bw,c – defined in clause 4.2.8.2.9.1 and 4.2.8.2.9.2 of CR LOC&PAS TSI. The width of mechanical kinematic pantograph gauge at intermediate height, b’h,mec, is then to be calculated according to paragraph E.2. Determination of the mechanical kinematic pantograph gauge . This is also illustrated by figure 11 below. From the above paragraphs it’s clear that the interface between the different subsystems (ENE, RST and INF) was covered by setting out the value for the maximum lateral deviation d l. 2/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 This is illustrated by the following drawings of the working range of Pantograph1950 and pantograph1600 [bibliography (2)]: Figure 5 : Designations of contact wire positions and pantograph components Figure 5 depicts both main boundaries needed to address the two main problems in the study: dewirement and infringement. The working range of the pantograph lA can be divided in the lateral contact wire position euse and pantograph swaying D. The most extreme position of the contact wire cannot exceed the half working range of the pantograph, otherwise dewirement might occur. The kinematic limit Lh can be divided in the half length of the pan head and the pantograph sway and its limit needs to be verified with the mechanical gauge to examine infringement issues. The usable contact wire position euse depends on pantograph head geometry. For a straight track, values for the 1600mm and the 1950mm pantographs are shown in figure 6 and figure 7. The swaying of the pantograph on a given track varies with contact wire height and with curve radius R and installed cant. Furthermore the sway depends on track faults as well as train and pantograph construction parameters. As the working range can be divided in pantograph sway and contact wire displacement, the maximum lateral contact wire position depends on the pantograph type. 3/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 6 : Dimensions of the 1600 mm pantograph [bibliography (2)] Figure 7 : Dimensions of the 1950 mm pantograph [bibliography (2)] 1.4 UIC 799 OR 2002 and UIC 799-1 OR 2001 The following parameter is of importance for the functioning of a high-speed contact line in order to ensure that the wear on the pantograph contact strip is as uniform as possible, but isn’t obligatory: Minimum lateral variation in horizontal profile of contact wire per 100 m length should be 0,50 m. This can be interpreted in two ways: that a zone of at least 50 cm of the contact strips should be used that the variation of the contact wire lateral position should be at least 5 mm/m The first interpretation leads to a minimum stagger pattern on straight tracks of -25/+25 whereas the second one for example still authorizes -20/+20 for an 80 m span. 4/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1.5 EN 15273 Part 1 of this standard presents the common rules for the calculation of gauge limits for infrastructure and rolling stock. In part 3 the standard gives the rules for dimensioning the infrastructure in order to allow vehicles built according to the relevant gauge and taking account of the specific constraints to operate within it. Annex B of Part 3 present recommended values for structural parameters in order to generate the relevant gauge limits. The values can differ due to the specific infrastructure layout and maintenance policy. Table 3 : Coefficients of the allowances recommended for the kinematic gauge Slab mounted track Symbol Ballasted track Internal side External side Internal side External side Tvoie 0.025 m 0.025 m 0.005 m 0.005 m 0.020 m 0.020 m 0.005 m 0.005 m 0.015 m 0.015 m 0.005 m 0.005 m 0.007 m 0.039 m to to 7 mm 39 mm 0.013 m 0.065 m Tcharge 0.77 ° 0.77 ° 0.77 ° 0.77 ° Dissymmetrical suspension adjustment Tsup 0.23 ° 0.23 ° 0.23 ° 0.23 ° Levelling defect TN Parameters Cant defect Position of the track V ≤ 80 km/h Tc V > 80 km/h Oscillations Very good track quality to others tracks Loading dissymmetry Safety coefficient for the obstacle gauge Safety coefficient for the pantograph gauge Tosc To be freely determined by the Infrastructure Manager k 1.2 1.2 1.2 1.2 k' 1 1 1 1 Other parameters involve train behaviour and flexibility as well as pantograph installation tolerances and pantograph flexibility. The total set of parameters allows calculating the pantograph gauge which can refer to the mechanical gauge or the electrical gauge. Objects entering the mechanical gauge can collide with the pantograph, causing infringement whereas the larger electrical gauge also might lead to arcs and not necessary a mechanical collision. To determine the pantograph gauge, the calculation shall be considered under stationary and maximum speed conditions and at specific heights. Some parameters are height dependent and some vary with speed and therefore the calculation on the inside of the curve corresponds to the stationary calculation and the calculation on the outside of the curve corresponds to the calculation at maximum speed. This results in a gauge which is not symmetric to the track axis. On the basis of these parameters figure 8 shows the EP gauge in straight line and figure 9 the EP gauge in a 350 m curve with 100 mm cant at 70 km/h. The standard defines the corners and angles of the EP gauge in a specific way (e.g. 305 mm corner at 30°). 5/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 8 : Envelope of the mechanical and electrical verification gauge on a straight track Figure 9 : Envelope of the “strict” mechanical and electrical gauge in a specific curve 6/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 2. ERA Objective On the ongoing ENE TSI, ERA proposed to set out a requirement stating that for new, upgrade and renewed lines, the OCL shall accommodate both pantographs (1600 and 1950 mm). Stakeholders did not agree, and indicated that the effect will increase the cost (different % depending on the source) of all projects. Some stakeholders did not consider it to be necessary to harmonize completely the EU Railway Network, since a major improvement has been achieved in the last years with the creation of two big areas in Europe. TSIs are always supported by an economic impact assessment, and before this study ERA could not demonstrate the benefit for the sector. Although ERA presented an economic evaluation and stated that there was a 75% likelihood that potential results of this and future studies lead to real positive results, clarifications from numeric calculations and assumptions performing the evaluation were demanded. This demand has been addressed by this first study and in paragraph V Economic analysis below, some impacts on the IMs side are roughly estimated. So the requirement was altered in the ongoing TSI, in order to analyze and investigate what the technical, operational and economic impact is to design OCL suitable for both: 1950 and 1600 mm pantographs but with limited or without additional investment costs. Therefore the aim of the study is: to provide to ERA a clear analysis from the technical and economic point of view concerning the parameters to design/adapt OCL across the EU Railway Network to make it suitable for both 1950 and 1600 to deliver input for next year’s 2nd phase of this research and future studies To achieve the above-mentioned goal, it is needed: to identify all parameters and their weight (influence) in the final result (e.g. ep values) and to perform a critical analysis (from the design point of view, not TSI point of view) of current formulas and other design rules, OCL design targets, tolerances, clearances, wind influence (OCL and vehicle) coincidence of worse conditions, (extreme) operational conditions etc. to identify over design margins and large safety factors. 7/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The standard EN 50367:2012 annex A defines the interoperable pantograph head profiles of the 1600mm EP (figure 10) and the 1950mm pantograph which need to be considered in the study. Figure 10 : Profile of pantograph head with length of 1600 mm [bibliography (3)] 3. Statement of the problem - Preliminary analysis by ERA and the OCL SG To ensure that a pantograph can run under given OCL the lateral movement of the contact wire needs to remain within the conducting length of the pantograph while the kinematic profile of the pantograph needs to remain within the half-length of the pantograph to ensure both current collection and safe passage. It’s open to discussion if in the most extreme conditions the contact wire needs to remain on the conducting part of the pantograph or if it can displace onto the insulated end horns. In case of constant current collection following formula needs to comply with3: bw,c = dl + b’h,mec – bw (Annex E, CR ENE TSI) bw,c ≥ dl + r bw,c = Half-length of the pantograph bow conducting length (with insulating horns) or working length (with conducting horns) dl = Lateral deviation of contact wire r =Lateral movement of the pantograph b’h,mec = Width of mechanical kinematic pantograph gauge at height, h bw = Half-length of the pantograph bow 3 We will focus here only on the free passage of the pantograph (pantograph gauge), and not in the electrical clearances. 8/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 11 : Determination of the width of the mechanical kinematic gauge of the pantograph at different heights [bibliography (4)] 3.1 Analysis of dl: lateral deviation of contact wire The lateral deviation of the contact wire depends of the span length, the radius of the curve, the stagger, the tensioning force in the OCL cables and the wind load. In general, the maximum lateral displacement of the contact wire due to wind loading occurs near the mid-span point. dl = f (1/R, a², b, 1/Hcw, F´w) R : radius of the curve a : span length b : stagger Hcw : tensioning force F´w : wind load From a qualitative analysis, dl is lower when: ↓ the stagger, the span length and the wind load ↑ the tensioning and the radius If the wind load is considered uniform on the span length, the deviated contact wire has a parabolic form. In order to determine the maximum span length, the layout of the OCL is designed with wind perpendicular to the OCL in both directions. The lateral deviation of the contact wire on both sides of the contact wire needs to remain inside the limits of the swayed pantograph. 9/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 12 : Wind deflection in straight line sections [bibliography (5)] 3.2 Analysis of r: lateral movement of the pantograph The width of the kinematic pantograph gauge is mainly determined by the length and lateral movement of the pantograph under consideration of the specific phenomena. r = b’h,mec – bw b’h,mec = Width of mechanical kinematic pantograph gauge at height, h bw = Half-length of the pantograph bow r = f (ep, quasi-static effect, track gauge, track quality and load dissymmetry) Pantograph ep sway depends mainly on the following phenomena: the play q + w in the axle boxes and between bogie and body, the amount of body inclination taken into account by the vehicle, the mounting tolerance of the pantograph on the roof, the transverse flexibility of the mounting device on the roof and the height. ENE TSI sets out values for ep = f(h) ep = 0,11m(h ≤ 5m) ep = 0,17m (h=6,5) In between these values ep is interpolated linearly. The % of ep in the final value of r (1600 case): (ep / r) = (0,11 / 0,2) = 55%. Since the pantograph is installed on the roof, the quasi-static effect plays an important role in the calculation of the pantograph gauge. In accordance with the TSI ENE CR:2011 this effect is calculated from the flexibility, reference cant and reference cant deficiency. Other allowances which should be considered include the loading dissymmetry, the transverse displacement, cant variation of the track between two successive maintenance actions and oscillations generated by track unevenness. Specifying pantograph sway requirements for vehicles provides information for the IM to design the OCL. 10/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 B. Detailed description of the tasks to be performed under the study 1. MET_1 (linked to ANA_1): Methodology Methodology contains the identification of technical (e.g. span length, stagger, tension, mast deflection, ..) and external parameters (e.g. cross wind values, vehicle sway, track tolerances, electrical and mechanical gauge, maintenance and operational rules, … ) to be taken into account in the OCL-study. 2. ANA_1: Analysis of current OCL design rules ANA_1 takes into account infrastructure constraints (e.g. electrical gauge) with focus on: identification of the representative cases (for new, upgraded and renewed lines) to be analyzed taking into account the design rules and methodologies. OCL design targets (reliability, availability, maintainability) o Design targets o Performance assessments against the targets Formulas and other design rules: o formulas themselves o their application and origin ( e.g. economical or technical) o parameters and data taken into account o assumptions in calculation (e.g. wind zones) o applied factors (safety margins) o special rules for particular elements e.g. switches, overlaps o specific national technical rules tolerances taken into account in calculations/maintenance/installation clearances, their origin and reasons influence of loads, e.g. wind characterization lateral deviation due to wind, influence on the vehicle All these aspects will be taken into account to perform a particular and comparative analysis of the different OCL designs under study. The identification of these rules will serve as the base to perform the following steps of the study focusing on the ability to design an OCL capable to accommodate both EP/1950 pantographs. 3. ANA_2: Probability analysis of 1600 in 1950 network and vice versa ANA_2 analyses the limits and impact on maintenance and operational rules (e.g. speed restriction under wind conditions) to allow the run of both pantographs without change of OCL-design, with focus on: 1. Probability of coincidence of conditions leading to the worst case related to OCL incident 2. Environmental conditions 3. Review the interface margins included in both sides (INF/RST with OCL) 4. Critical limits for parameters of maintenance rules 5. Deviation on design / field maintenance tolerances 6. Accuracy of the measurements tools 7. Analysis of dewirements with focus on the reason 8. Correlation between 3 and 6 11/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Any assessment of pantograph sway should be considered in a probabilistic framework. Values of ep for new or revised vehicles should be based on the use of benchmark vehicles or a fully probabilistic approach which addresses the potential limit to future train concepts and developments. 4. Three extreme situations + normal situation The analysis approach for this research was necessarily complex and has consisted of a number of component parts brought together to deliver the final results. In summary, it comprised: Construction of ‘Virtual Routes’ for each country’s network, i.e. a generic selection of cases nationally representative of the whole rail network and defining critical combinations of train speed, curve radius, cant, stagger at the poles and maximum authorized span lengths. Calculation of probabilities of pantograph sway limits being exceeded for all spans in the virtual routes. These generic cases though should not be mixed up with the traditional 3 worst case scenarios from the quasi-static analysis described in UIC 606-1 leaflet: “midspan”, at standstill and maximum speed, as well as standstill at the poles. These 3 worst case scenarios have been analyzed for each of the generic cases. On the vehicle side, the research is to determine the probability that values of pantograph sway would exceed the specified limits related to overhead line infrastructure or at midspans, to determine the potential for clearance infringements and dewirements respectively. Many assumptions had to be made to limit the work involved. Chief among these, in no particular order, were: Speed and cant deficiency profiles (hence probability distributions) were based on national design rules The wind was assumed to only blow at right angles to the track; other angles were ignored. Three discrete values of cant deficiency/excess, (0 or minimum cant/maximum cant deficiency; maximum cant/minimum cant deficiency; ideal cant/cant deficiency) were used. The wind speed-up effects of embankments and viaducts were ignored. Track quality was based on maximum roughness for the permissible line speed. 5. General remark Five different existing types of trains have been used for calculations in this study. Among these are two locomotives, one EMU and two high speed train sets. As each type has different parameters, they cover a broad spectrum of rolling stock, but not all of them. Nevertheless one shall keep in mind that all existing trains should keep on running. In some cases a train might have a worse dynamical behaviour, i.e. with a larger pantograph sway, than the behaviour of the reference vehicle or the one of the studied vehicles, mainly due to a larger flexibility coefficient and/or bigger plays. In this case the methodology of the study shall be applied to verify the risks of dewirement and infringement. 12/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 C. Summary of the study carried out 1. Research method A questionnaire/checklist has been established on the basis of EN 15273-1and 15273-3 (table B.1 among other things), the clearances stated in EN 50119, the annex E of the TSI Energy for conventional railway systems and the TSI Energy for high speed lines, UIC leaflets 505, 606-1 and EN 30567. On the basis of the responses obtained on this questionnaire/checklist, representative cases for new, upgraded and renewed lines have been identified. In order to analyze the formulas and other design rules used and to control the origin and given reasons, or even to determine some omitted parameters, a software tool (Excel-sheet) called “Détermination de la portée maximale » has been used for a case to case analysis. This tool helps the user to control the evolution of the stagger under certain circumstances, including wind deflection, and visualize the position of the contact wire(s) within the span. It is also able to calculate the maximum span length for any given stagger or curve radius values, according to the so called Naderer and Sachs method. It takes into account track data, train speed, track height, wind and mast deflection. The software tool has been adapted according to the given data in the questionnaire/checklist. The origin and reasons for clearances have been checked by controlling representative cross sections in AutoCAD, automatically drawing an kinematic gauge upon the track according to the principles stated in “Détermination de l’enveloppe cinématique en courbe” which follows the rules of the annex E of the TSI Energy for conventional railway systems. The maximum value of the stagger in each representative case and the kinematic gauges will subsequently be compared to the results of the pantograph sway obtained by the probability analysis contained in the first point of ANA_2, both under the same environmental conditions of course, in order to address the issues mentioned under points 3 to 8 of ANA_2. 13/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1.1 Mutual influence of wires and cables trough droppers This effect should be taken into account as it influences contact wire lateral deviation by 3 to 5 cm, more or less regardless of the chosen value for the mean dropper length (for German OCLs, if SH > 1.40m, this length is taken 2/3 of the system height SH, according to bibliography (5) and (6)). Figure 13 : Lateral deviation of the OCL when the contact wire is blown off further than the messenger wire and coupling forces act over droppers; SH = system height at the support [bibliography (5)] 1.2 TSI-limit for contact wire position In order to calculate real pantograph sway values, an ‘orange zone’ has been defined with a widened limit towards the TSI-limit of 0.40 m, adjusted according to annex E of the TSI (green zone), on the basis of two assumptions: Ignoring the 0.066m value for reference cant D0 or reference cant deficiency I0 in the calculation of pantograph sway ep, epo and epu on straight lines and curves Omitting the []>0 sign in calculating the quasi-static effect in curves It is important to notice that these assumptions do not correspond to those made by annex E of the TSI, which refers to EN 15273 ! An example of the green and orange zone limits can be found in figure 26. In the tables further on with the calculation results the boundaries of the green zone are indicated by parameters eSTI_neg and eSTI_pos, those of the orange zone by ezj_neg and ezj_pos (“zaune jaune”). Negative means outside curve and positive corresponds to inside curve. Cant deficiency on straight lines is only present when entering switch tracks or curves without a transition curve, or when due to track maintenance, the origin of curves and transition curves shifts towards the straight line without the corresponding shift in cant. 14/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1.3 a quadratic formula for pantograph sway ep It should be noted that a widened limit can only be obtained by : using the linear formula from paragraph 12.3.1 of UIC leaflet 505-5:2010 to calculate the pantograph gauge at a capture position of 6,5m on a straight line, without application of the reduction Abto (normally 0,005m). Only applying this linear formula and no reduction a maximum permissible movement ep o of the pantograph of 0.17m (0.1666m) can be obtained when using the values of the reference vehicle (epor according to EN 15273-1). On the other hand at a capture position of 5m epu is calculated using: a quadratic mean for the movements due to the pantograph’s characteristic parameters t, τ and Θ using a fixed reduction of Abtu = 0,02m. Therefore that same UIC leaflet 505-5:2010 (paragraph 12.3.2, pages 143-146), as well as UIC leaflet 6061:1987 (annex 1) and EN 15273-1:2009 (paragraph 8.1.3.1.1, formulas 135 and 136), use for both ep u and epo a quadratic mean of movements. This limits the maximum permissible movement at 6,5m to 0,15m (0,1405) instead of 0,17m ! This means K’ shouldn’t be 0,04 as in table H.1 of EN 15273-1:2009, but 0,027 (as in annex 2 of UIC 606-1), unless the value of 0,17m has been retained as a safety margin ! The quasi-static analysis, including the determination of the orange zone, has been done with quadratic formulas and using reductions. √ [ ( ) ( ) ] [1] where T1 corresponds to Tvoie of EN 15273 and t2 to TD. Pantograph sway at the upper and lower verification height is calculated according to: [ √ √( ( )] [ ) ( [2] )] [3] Pantograph sway is linearized for intermediate heights according to: ( ) ( ( ) [4] ) Maximum lateral deviation of the contact wire is obtained by: Outside curve: Inside curve: ( [ [ )] ( )] [5] [6] 15/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1.4 an extreme contact wire lateral position When looking at the shape of the EP one can see that the 1200 mm working range ends somewhere on the 30° slopes towards the horns made of insulating material. These slopes continue until finally the 150mm rounding is reached at both pantograph ends. The transition point of the slope into the rounded part is situated at a projected length of approximately 726 mm from the pantograph center. Compared to working range limit of 600 mm the risk of dewirement will not change if the contact wire would be situated in the zone until the transition point. It will of course provoke an arc in the presence of traction current since the horns are made of insulating material, but this enlarged non-electric working zone of 1453 mm significantly reduces the risk that the contact wire is beyond this zone compared to the risk for the normal 1200 mm working range. The point of incipient dewirement will be even a bit further on the end horns. From bibliography (1) it can be derived that, on the pantograph head of figure B.6 from EN 50367:2012, this point is situated where the angle between a horizontal line and the tangent of the pantograph is approximately 55°. We limited this angle for the EP at 45°, a value which is also proposed in (7) from the bibliography, to account for noncontinuous pantograph head profiles (independent suspended collector strips) described in paragraph 5.3.2.2 of EN 50367:2012. In this way the extreme contact wire lateral position will be situated at a projected length of 756 mm and the non-electric working zone will be 1512 mm. as can be seen in figure 14. This enlarged non-electric working zone is even larger than the current 1450 mm working zone of the 1950 pantograph ! Figure 14 : safe and unsafe zones for dewirement on EP The risk of surpassing both 1200 mm and 1453 mm zones has been simulated in the study. 16/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 III. ANA_1: Analysis of current OCL design rules A. Questionnaires/checklists Each of the Infrastructure Managers in the study was invited to complete a checklist with relevant data on most representative OCLs with regard to coverage in their infrastructure. The aim of the study was explained followed by clarifying the questionnaire and recording their response in reports. Each IM was demanded to provide parameters on following subjects : design rules of 2 most representative OCLs (HS and CR), calculation method for wind influence, national rules on track design and maintenance, representative pantograph and rolling stock characteristics. 1. Infrabel (Belgium) A summary of all Belgian OCL types is to be found in document 420.008 (11.03.2013). 1.1 High speed network The Belgian high speed network consists of 4 lines (approx. 204 km) equipped with an 2 x 25 kV a.c. system. It has been laid out for 1450 mm and 1600 mm pantographs. 5 slightly different OCL types exist on the high speed network. The most representative OCL used for the high speed lines is the R1-350r, with following parameters : 2 x 25 kV a.c. system Maximal speed : 300 km/h. 1 messenger wire : Cadmium brass or CuMg 0,5 of 95 mm² and 19875 N tensile load. 1 contact wire : CuMg 0,5 of 150 mm² and 29685 N tensile load. No stitch wire Maximal span of 56 m. Nominal pre sag mid span of 20*a²/56² cm. High speed switches are equipped with a 3th guiding OCL and will cause problems for a 1950mm pantograph. 20 mm Figure 15 : Belgian High Speed OCL R1-350r 17/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1.2 Conventional network The Belgian conventional network consists mainly of a 3 kV d.c. system, being laid out for 1760 mm pantographs (figure B.8 of EN 50367:2012). This network is suited for both 1600 mm and 1950 mm wide pantographs. 10 slightly different OCL types exist on this network, but the main type is Cn-107 as contact wire with 100 mm² section is being replaced. Three isolated lines, mainly in the Ardennes, are equipped with a 1 x 25 kV a.c. system. One line, Namur-Arlon on the axe Brussels-Luxembourg, is now being reequipped with a mixed system, now still operated on 3 kV d.c., in the future on 25 kV a.c. Figure 16 : Belgian Conventional OCL Cn-107 The OCL Cn-107 has following parameters : 3kV d.c. system, compound OCL system, half compensated. 1 messenger wire : Bz 95 mm² and 14568 N tensile load, not compensated. 1 auxiliary wire : 72 mm² CuCd 0,7 and 7600 N tensile load, not compensated. 2 contact wires : 107 mm² CuAg 0,1 and 9807 N tensile load each, compensated. Maximal speed : 160 km/h. Temperature range is -15°C to +55°C. Maximal span of 63 m. Nominal sag mid span of 32*a²/63² cm. Evolution on stagger at mast of conventional network: <1968: +20/+10/0/-10/-20 1975: +20/+10/-10/-20 >1975: +20/+17/+8/-8/-17/-20 this sequence of stagger values led to problems on a high viaduct on a line almost perpendicular to the general wind direction, but only after introducing EMU’s with flexibility coefficient of 0.4 (Brussels-Ghent). >1990: +20/-20 (document 421.031) 1.3 Wind influence On OCL (geometrical): Historical data (document 2/0.430.18; 1960) states 72 kg/m² as wind pressure to be taken into account. On supporting structures (mechanical) : National norm NBN 460.01 and 460.02 (1960) states in normal conditions 45 kg/m² (447 N/m²) and extreme conditions 90 kg/m² (both at height of 10m above surrounding terrain), or 26,83 m/s (96,6 km/h) and 37.95 m/s (136,6 km/h). Above 10 m a 18/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 linear increase applies until 25 m, then a even bigger linear increase applies until 275 m. Several cases of combinations of the above conditions are being used to determine the structures, which on average leads to a 75 kg/m² (document 2/0.430.18; 1960 and 2/0.430.501; 1996), the deflection of the supporting structure is limited to 4 cm. New designs: EN 50119 and Eurocode 1. For all 3 kV-grid OCLs the messenger wires are suspended with an insulator which will pivot on wind load and the 2 contact wires result in a larger wind deflection compared with OCLs with 1 contact wire. 1.4 Rolling stock and pantographs The infrastructure manager has provided limited data of the Siemens Vectron locomotive type HLE18, for a.c. and d.c. configuration and the EMU 80/82/83 has been retained as a second type of train because of its flexibility coefficient of 0.4, in combination with a 1760 mm pantograph. A summary of all Belgian pantograph types is to be found in document 405.069 (24.09.2012). Pantographs are of type B.1 (according EN 50367:2012) for the a.c. systems and B.2, and B.8 for d.c. systems. The horns are conducting, but due to some problems with the 1950mm pantograph and electrical clearance, the IM has asked the train operator NMBS/SNCB to replace them with insulated horns. 1.5 Track data In curves having a cant or cant deficiency below 0.066 m the quasi-static effect is not taken into account resulting in the same value of pantograph sway on both sides, and thereby overestimating it and consequently limiting the span length. This value corresponds with the Infrabel good practice rule in cant change in curves and in switches. Only in relative small curve with a high operating speed this effect is taken into account. Maximal cant used by the IM in track design is 160 mm and for cant deficiency a maximum of 130 mm is used. Nominal values for cant are defined by 3/7 of the theoretical cant. 1.6 Design rules In table 4 the maximum allowable span length is shown in function of speed and curve radius page, indicating a minimal curve radius for a maximum span length and a given operating speed. Curve tracks can be installed with its theoretical cant or maximum cant, maximum cant deficiency or nominal value of cant. The maximum calculated values of span lengths for these minimal curve radii are in accordance of the values in the table, but in curves with maximum cant, this is cant deficiency equal to zero. In order to facilitate the OCL design of a conventional network line, the Infrastructure Manager provides a table of the maximum span length in curves in function of train speed (table 4). In specific situations, the curves are implemented with a certain cant and/or cant deficiency, within the maximum limits of the IM and TSI INFRA. The IM defines the stagger in function of the curve radius and cant (table 5). 19/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 4 : maximum span length for a curve interval at certain speeds – Infrabel CR Table 5 : lateral offset [cm] for certain curve R [m] and installed cant h [mm] – Infrabel CR In accordance with TSI ENE HS the maximum lateral deviation of the contact wire of 40cm is determined by the conducting width on the EP head, which is 60 cm, minus a 20 cm nominal sway of the pantograph. From this value the displacement of the support structure due to wind load deduced, which is defined by INFRABEL to 4 cm, fixing the maximum deflection for the pantograph to 36 cm. The values up to +39 cm or +38 cm in table 5 are therefore not usable for a EP in combination with a 4 cm mast deflection. 20/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 2. DB (Germany) The 2 most representative OCL designs for the study are the conventional network OCLs Re100 and Re160, as most conventional lines are equipped with these OCLs and cover 75% of the network. The OCLs on the new High speed lines are Re250 and Re330, which accommodate both 1600 mm and 1950 mm pantographs and are designed taking into account the reference vehicle from EN 15273. For these reasons only the Re100 and Re160 are taken into consideration in the study. Since these OCLs were designed for the 1950 mm pantograph, both wind blow-off and gauge are suspected to be correct and are not looked at in the study. The study investigates the possibility for accommodation of 1600 mm pantograph in wind blow-off conditions. Switches on the entire network have crossing contact wires as the wires on the straight line go straight on. 2.1 Conventional network Re100 and Re160 The OCLs have a very similar design parameters and the layout can be seen in figure 17. Figure 17 : Layout OCL Re100 and Re160. Parameters of the OCL Re100 : Operating speed 100 km/h Messenger wire Bz50 with traction force of 10 kN. Contact wire Ri100 with traction force of 10 kN. No stitch wire Only in straight track messenger wire remains in center rail axis. Maximal span length 80 m Stagger in straight line +400 mm +30 mm Parameters of the OCL Re160 : Operating speed 160 km/h Messenger wire Bz50 with traction force of 10 kN Contact wire Ri100 with traction force of 10 kN Stitch wire Only in straight track messenger wire remains in center rail axis. Maximal span length 80 m Stagger in straight line +400 mm +30 mm. 21/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 2.2 Wind influence Germany is sorted in 3 wind zones regarding peak wind speed: 26 m/s, 29.8 m/s, 32.1 m/s. The drag factor of wires depends on its diameter and air density is taken as 1.25 kg/m². Wind blow-off at specific points (bridges) with higher wind peaks will not be included in the study, as they are the subject of a specific detailed design study. Historically in wind calculations the entire OCL is considered as one common cable and the wind will be charged as a constant pressure on this fictitious conductor. For the given wind zones, these pressures for 1 m OCL correspond to, respectively: 11.5 N/m, 15.1 N/m and 17.5 N/m. The total traction force of the OCL is 20 kN. 2.3 Track data For both lines track data is similar and is presented in the following table. Track specifications limit maximum cant 160 mm and maximum cant deficiency to 150 mm, whereas in nominal track design the cant is 6,5/11,85 of the theoretical cant. Track fault data is tabulated in the following table. Table 6 : Track data Speed [km/h] T1 t2 lateral deviation cant or twist [mm] [mm] 0 ≤V≤ 40 15 13 40 <V≤ 80 15 13 80 <V≤ 120 13 11 120 <V≤ 160 11 9 160 <V≤ 220 6 8 220 <V≤ 350 7 7 2.4 Pantograph and Rolling Stock DB Netz uses only 1950 mm pantograph which are of type B.2 according to EN 50367:2012 (which corresponds to type B.3 according EN 50367:2006) with conducting end horns. DB Netz has a good overview of the characteristics of the DB-vehicles on their infrastructure. This covers most of the rolling stock in Germany. DB proposes to choose an ICE3, a locomotive and a commuter train. For the commuter trains BR474.3 of the Hamburger S-Bahn could be used which has a maximum speed of 100 km/h. Another option is the BR423-426 of other S-Bahns which are capable of 140 km/h. 22/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 7 : typical vehicle data used to determine pantograph sway on the train while running on a specific track with its faults. UIC 101 120 141 143 151 185 ICE 1 ICE 2 ICE 3 ICT TGV POS 423 R&T R&T Regio Regio Cargo Cargo R&T R&T R&T R&T SNCF Regio DSA 350 SEK 2 DSA 380 D SSS 87 with AQF Cx DSA 200 Pantograph REF vehicle DSA 350 SEK SBS 81 DBS 54 VSH 2 F3.1 DBS 54 DSA 200.08 DSA 350 SEKDB a Distance wheelsets 19 10.95 10.2 7.3 8.5 10.16 10.44 11.5 11.46 17.375 19 14 15.46 p bogie wheelbase 2.7 2.65 2.8 3.2 3.3 4.45 2.6 3 3 2.5 2.7 3 2.7 q Traverse clearance wheelset/bogie 0.005 0.012 0.005 0.0005 0.011 0.001 0.003 0.01 0.01 0.0083 0.002 0.003 0.007 s Flexibility coefficient 0.225 0.158 0.15 0.1 0.13 0.1 0.122 0.12 0.116 0.22 0.18 0.2 0.225 hc Roll center height 0.5 0.784 0.7 0.7 0.5 0.7 0.864 1.11 1 106 0.7 0.36 1.08 0.6 ht Installation height lower pantograph joint 4.005 4.24 4.18 4.275 4.4 4.2 4.07 4.05 4.045 4.06 4.039 3.885 4.078 bw Semi-width of the pantograph head 0.975 0.975 0.975 0.975 0.975 0.975 0.98 0.975 0.975 0.975 0.975 0.975 t Flexibility index of the pantograph head 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.027 0.03 Tau Pantograph construction and installation tolerance 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 Theta Angle resulting from suspension adjustment tolerances 0.005 0.005 0.005 0.005 0.005 0.005 0.004 0.01 0.005 0.004 0.008 0.002 0.004 w°° Transverse clearance bogie/body 0.0325 0.012 0.015 0.02 0.035 0.02 0.044 0.05 0.05 0.05 0.02 0.07 0.05 2.5 Design rules The design of lateral offset e [m] in function of the designed span is determined by the maximum wind deflection permissible in a specific curve R [m] provided in following function. 23/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 18 : maximum wind deflection in function of curve radius, used for OCL Re100 and Re160 design. Added to this constraint, the following also applies : Lateral force in the registration arm shall always exceed 80 N. The registration arm shall not be connected with a contact wire with stagger on the opposite side of the center track line as can be seen in figure 19. Applied wind pressures on the OCL are depending to the wind speeds : 11,5 N/m for 26 m/s, 15.1 N for 29.1 m/s and 17.5 N for 32,1 m/s. OCL mast registration arm a R a track centerline Figure 19 : steady arm crossing the track center line 24/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 20 : example of used lateral offset for maximum span length in specified curves used for Re100 and Re160 design for wind speed of 26m/s. According to figure 20 maximum and minimal curves can be selected for which the stagger is defined for maximum span in this curve. In some curves the maximum span is largely limited, due to either the design rule limiting the force in the registration arm to minimal 80 N, or the nominal deflection due to tight curves. 3. PKP (Poland) In the whole of Poland 15 types of OCLs are installed, whose types can be grouped into 2 groups. From these 2 groups one type of OCL has been selected which covers most of the country. These types are also being used when new OCL is installed. The 2nd OCL is built according EN 50119. The development of these OCL dates back to the end of the 20th century. Maximal span length is 66 m (exceptionally 70 m tabulated). 3.1 Conventional network Parameters of the OCL 2C120-2C-3 : Maximum speed 220 km/h 2 Messenger wires 120 mm² with a traction force of 15.88 kN in each one. Stitch wire realized by lowering one of the two messenger wires. 2 Contact wires 100 mm² with a traction force of 10.59 kN in each one. Accommodates pantographs types 1600 mm and 1950 mm Stagger of ±200 mm ±20 mm. Standard span lengths 62 m ±4 m. 25/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 21 : layout of OCL type 2C120-C2-3 Parameters of the OCL YC150-2CS150 Maximum speed 200 km/h 1 messenger wire : 150 mm² with a traction force of 19.07 kN 2 contact wires : 150 mm² with a traction force of 14.835 kN in each one Stitch wire Accommodates pantographs 1950 mm only Stagger of ±300 mm ±20 mm Standard span lengths 62 m ±4 m. Figure 22 : layout of OCL type YC150-2CS150 3.2 Pantograph and Rolling Stock OCLs are accommodated for 1950 mm pantographs type B.2 and B.8. The pantographs have non-insulted end horns. 4. ADIF (Spain) Extensive high speed network is interoperable with normal gauge (1435 mm) track. That is why this network has been chosen for the study. The most representative OCLs regarding coverage on the network are the EAC350 High Speed OCL and the CA-220 OCL for the conventional network. The second network in Spain is the Iberian network which is fitted with a 1668 mm wide track. Starting on the Mediterranean line, plans exist to mount a 3th rail to accommodate interoperable trains with 1435 mm axel gauge on this line. 4.1 High speed network Parameters of the EAC350 OCL (90% cover on high speed lines) : Maximum speed 350 km/h 26/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1 messenger wire : 110 mm² Cu with a traction force of 15 kN. 1 contact wire : 150 mm² CuMg 0.6 with a traction force of 30.8 kN. Stitch wire. The nominal span length is 64 m. Stagger is ±200 mm. 4.2 Conventional network Parameters of the CA-220 OCL : Maximum speed is 220 km/h Stagger in the contact and messenger wire 1 messenger wire: 185 mm² Cu with a traction force of 24.75 kN 2 contact wires: 150 mm² CuAg 0,1 with a traction force of 18.75 kN in each one 2 steady arms per cantilever. Maximal span : 60 m. Stagger is ±200 mm. 4.3 Wind influence Wind deflection calculation is conform the EN 50119:2009 with a maximum wind speed of 29 m/s and a gust wind speed of 33.3 m/s. 4.4 Track data The high speed network is equipped with a track gauge of 1435 mm. In nominal track design the cant is 8.33/11.85 of the theoretical cant. The conventional network is equipped with Iberian track having a gauge of 1668 mm. On some corridor lines plans exist to install a third rail to accommodate trains with a track gauge of 1435 mm. Due to shifted center lines of both tracks, the center line of the OCL does not coincide with either of track center lines. Therefore both tracks have a non-symmetrical stagger. 4.5 Rolling stock and pantographs On conventional network pantographs are 1950 mm wide and have insulated end horns. This is contradictory to the non-isolated end horns in Germany and Poland. Insulation on the end horn is necessary for hanging masts from bridge construction for which isolation distance is not sufficient. Use of 1600 mm EP should not be problematic but is to be investigated. The high speed lines are designed for both the 1600 mm EP and the 1950 mm pantograph; therefore no problems on wind deflection or on clearance are expected for this OCL. 4.6 Design rules There is no historic design information present on the OCL CA-220. 27/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 5. SNCF/RFF (France) The French conventional network is divided into 2 main areas : one with a 1 x 25 kV a.c. system and one with a 1.5 kV d.c. system, the former being laid out for 1450 mm pantographs, the latter on some lines only for 1950 mm pantographs (caténaire du MIDI). The French high speed network consists of 6 lines equipped with an 2 x 25 kV a.c. system and overlapping both areas of the conventional network. It has been laid out for 1450 mm and 1600 mm pantographs. 5.1 Conventional network The 2 most representative OCLs for the study are the V200 (Cat. 85) and the compound CNCu. Regarding to the CNCu, no data was provided by the IM. Parameters on OCL V200 (Cat 85) : HS OCL 25 kV Operating speed 200 km/h. 1 messenger wire 65 mm², with a tensile force of 12 kN. 1 contact wire 107 mm², with a tensile force of 12 kN. No stitch wire Stagger : ±200 mm on straight line and -240/-240mm on most curves. Parameters on CNCu : CR OCL 1.5 kV DC (most % cover). Operating speed 200 km/h Half compensated compound type. 5.2 Wind influence On supporting structures the wind load defined in the national law applies “Arrêté du 17 mai 2001” depending on the surface of the structures 2 different wind pressures are being used according to ambient temperature, which could be +15°C (hypothesis A) or -10°C (hyp. B). For normal wind zones these pressures are: 1200 (A) and 300 Pa (B) for HE-poles and 570 (A) and 150 Pa (B) for cylindrical structures like OCL cables (a max span of 63 m is considered). For some zones with strong wind a factor of 1.12 applies to the pressures in hypothesis A. On OCL (geometrical) : on high speed lines national rules in NV65 (1965) has been applied until recently, when NF EN 1991-1-4/NA:2008 (Eurocode 1 French Annex) was introduced. Conventional network has been designed with 2 different wind speeds: 85 km/h for normal zones (23.61 m/s) 110 km/h for “windy” zones (30.55 m/s) Both wind actions don’t converge to the same values of pressure or speed. Mast deflection due to wind load is estimated to be 5.5 cm. 28/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 5.3 Rolling stock and pantographs Pantographs are of type B.1 or B.3 (according EN 50367:2012) for the a.c. systems and B.2, B.3 or B.4 for d.c. systems, with insulated end horns. Since the regarding OCLs are designed for the 1600 mm EP, no problems due to wind deflection are to be expected for 1950 mm pantograph. However clearance towards 1950 mm pantograph is problematic in some tunnels. 5.4 Design rules Figure 23 : national design rule VZC 21404/304019 for span, curves and stagger values, including mid span for the V200 system 29/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 6. RFI (Italy) HS lines 25 kV only cover 5% of the network and are therefore not representative for this study. The high speed OCL 270 accommodates pantographs of 1450 mm and 1600 mm. Historically the voltage on conventional Italian lines is 3 kV DC. The OCLs in this study are on the 3 kV, 9500 km long network. The OCLs in the study are of type 320 FF and 440 FR, whose names are based on the total cross section of the OCL. 6.1 Conventional network Parameters on OCL 320 FF: Maximum speed 150 km/h Half compensated 1 messenger wire : 120 mm² Cu and tensioning load 11250 N not compensated. 2 contact wires : 100 mm² Cu and tensioning load 10000 N. Each contact wire has its own droppers. The 2 contact wires are connected several times within one span. Stagger is ±200 mm, also in curves. Stagger of ±250 mm exist and does not lead to problems. Parameters on OCL 440 FR: Standard for rebuilding lines Maximum speed 200 km/h Fully compensated. 2 messenger wires : 120 mm² Cu and tensioning load 11250 N. 2 contact wires : 100 mm² Cu and tensioning load 10000 N. Each contact wire has its own droppers. The design has been TSI-approved with 1600 mm EP. The design is about 20 years old and based on UIC-leaflets. 6.2 Wind influence Historically wind speeds of 100 km/h (27.8 m/s) are being used which leads to a maximum wind deflection of 400 mm. In windy areas the span length is reduced to 50 m. The dynamic wind load is not taken into account and only 1 dewirement due to cross winds is known. On one line the train service is cancelled with wind speeds of 90 km/h and above. (On the HSL the train speed is reduced from 300 to 250 km/h with wind speeds of more than 50 to 60 km/h). The masts are designed for wind speeds of 130 km/h (36.1 m/s). Mast deflection at this wind speed is estimated at 6 cm. RFI doubts if the Eurocode on wind is applicable on OCLs as it is meant for buildings including safety margins for buildings. The considered OCLs will not provide problems due to wind deflection, as both were designed for the 1600 mm EP and wind deflections on the 1950 mm pantograph are evidently less restrictive. Possibly problems will occur in clearance, however this is mainly an infrastructure problem and much less an OCL limitation. 30/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 6.3 Rolling stock and pantographs Only clearance problems for the 1950 mm pantograph are to be investigated. Figure 24 : Clearance gauges for which the Italian infrastructure is designed. Pantograph gauge design provided, without used calculation method. Questions remain concerning amount of such infrastructure problems on whole grid. IMs use gauges GA, GB and GC (EN 15273) to take influence of pantograph sway on OCL into account. Following pantographs were used in the design of the OCLs CR : design for 1450 mm (no insulated end horns), 1600 mm with insulated end horns. 90% of HS lines equipped for 1600 mm pantograph. Rolling stock data has only been provided partially. 31/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 7. Summary Table 8 : OCL and pantograph overview Country OCL name Type Pantographs accepted Cn-107 Conventional 1950 (non-)insulated + 1760 non-insulated + 1600 R1-350r HSL 1450 non-insulated + 1600 Re100 Conventional 1950 non-insulated Re160 Conventional 1950 non-insulated Conventional 1450 non-insulated + 1600 insulated 440 FR Conventional 1450 non-insulated + 1600 insulated 2C120-2C-3 Conventional 1950 non-insulated YC150-2CS150 Conventional 1950 non-insulated V200 Conventional 1450 non-insulated CNCu Conventional 1450 non-insulated (1950 on 5000km of track) CA-220 Conventional 1950 insulated EAC350 HSL 1950 + 1600 Belgium Germany 320 FF Italy Poland France Spain The following table compares the provided design values of the OCLs side by side. Some OCLs are designed for different wind zones and present different maximum span lengths for each zone (e.g. 60/54 m for V200 in curves larger than 1500 m for a normal and a windy zone). Straight line and in large curves have a symmetrical alternating stagger sequence (e.g. -20;20 cm for V200 in curves larger than 7500 m), smaller curves have an alternating sequence (e.g. -24;-16 cm for V200 for curves from 3000 m to 2500 m or for Re100 and Re160 -40;(-12/31/29) cm in a 5000 m curve for span lengths 77/67/64 m in the 3 different wind zones) and small curves below 1500 m have a non-alternating stagger (e.g. -24;-24 cm for V200). The 320 FF and 440FR is installed with a mast with stagger zero in every span in very small curves with a radius below 300 m. 32/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 9 : OCL span length a and stagger e in function of curve radius R a [m] e [cm] a [m] e [cm] a [m] 63 -20;20 60/50 -20;20 60/50 63 4 Re100/Re160 Germany 2C120-2C-3 CA-220 YC150-2CS150 Poland e [cm] a [m] e [cm] a [m] e [cm] a [m] e [cm] a [m] e [cm] 63/54 -20;20 60 -20;20 66 -30;30 70 -20;20 80/70/65 -40;40 63/54 -20; 20 56 -20;(-20/20) 63/54 -24;5 77/67/64 -40;(-12/31/29) 63/54 -24;0 80/70/65 -40;(-40/-31/-21) 74/70/65 -40;-40 73/68/65 -40;-40 63/54 -24;-9 63/54 -24;-16 63/54 -24;-20 63/54 -24;-24 58.5/54 -24;-24 4 55 66 -30;-30 66 -20;-20 4 60/50 -20;-20 58.6/50 -20;-20 50 49 57.1/49 -20;-20 55.5/47.8 -20;-20 53.8/46.6 -20;-20 58.5/49.5 -24;-24 61 -40;-40 61 -40;-40 57 -40;-40 57 -40;-40 67/64/62 -40;-40 47 -40;-40 47 -40;-40 59.6/57.1/ 55.5 -40;-40 31 -40;-40 31 -40;-40 42.4/41.5/ 40.8 -40;-40 28 -40;-40 28 -40;-40 4 45 54/49.5 52/45.3 -24;-24 -20;-20 40 42 4 50.1/43.8 -20;-20 49.5/45 -24;-24 47.3/42.1 -20;-20 45/45 -24;-24 43.8/40.1 -20;-20 45/40.5 -24;-24 40.5/40.5 -24;-24 35 31 35 4 300 280 250 Spain -20;20 700 667 600 550 510 500 450 400 350 France V200 OCL name R [m] inf 7500 6000 5000 4000 3000 2500 2250 2000 1900 1500 1420 1400 1300 1260 1200 1130 1100 1042 1000 950 900 844 840 800 750 Italy 320 FF/440 FR Belgium Cn-107 Country 28 40/37.8 -20;-20 35.8/35 -20;-20 30/30 -20;0;20 26/26 -20;0;20 36/36 -24;-24 36/31.5 -24;-24 31.5/32.5 -24;-24 4 Cant dependent values for stagger 33/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 B. Results and discussion 1. Wind deflection Each IM uses or historically wind speeds or wind pressures, possibly defined in national law (e.g. France) or defined by EN 50119. Following table summarizes the used wind calculation methods for the concerned IMs. 5 Table 10 : wind rules used in respective countries Country Method Basic wind 6 velocity [m/s] Wind gust speed [m/s] Wind gust pressure [Pa] Belgium internal rule 26,0 26.8 45 kg/m² = 441 Pa 22,5 / 25,0 26.0 414 27,5 29.8 544 30,0 32.1 631 CR – W1/2 Germany CR – W3 internal rule CR – W4 Italy internal rule -- 27.8 482 Poland EN 50119 26,0 32.9 663 W1 national law 22,0 23.6 340 W2 national law 24,0 30.5 570 CR – W1 EN 50119 26,0 34.3 720.6 CR – W2 EN 50119 29,0 39.1 869.7 HS EN 50119 26,0 34.0 708 France Spain These values could be compared to those of EN 50125-2:2002 in the table 11 below at a height of 10m above ground. Table 11 : reference wind velocities (vref,0.02) 5 Class Wind velocity [m/s] Wind pressure [Pa] W1 (low) W2 (normal) W3 (heavy) W4 (special) 24,0 27,5 32,0 36,0 353 463 627 794 Data in table 11 refer to a return period of 50 years corresponding to a yearly probability p of 0.02. 5 Values in bold are specified (by the IMs or EN), italic values are calculated These values can be found in the national annexes of EN 1991-1-4:2005 or EN 50341-1 and EN 50341-3-x. 6 34/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Wind deflection simulations are only useful for OCLs which have been designed for large 1950 mm or 1760 mm pantographs. These OCLs can be summarized in the following table: Table 12: OCLs subject to wind deflection investigation Country OCL name Type Pantographs accepted Belgium Cn-107 Conventional 1950 (non-)insulated + 1760 non-insulated Re100 Conventional 1950 non-insulated Re160 Conventional 1950 non-insulated 2C120-2C-3 Conventional 1950 non-insulated YC150-2CS150 Conventional 1950 non-insulated CA-220 Conventional 1950 insulated Germany Poland Spain These OCL were analyzed by means of the calculation tool DdlPM (Détermination de la Portée Maximales). Most IMs use tables in order to determine the stagger and maximum span lengths for any given curve radius and cant, maximum train speed by accounting for the lateral deviation of the contact wire under wind influence. In order to permit a 1600 mm EP to run on these OCLs the lateral deviation clearly needs to be more limited. This should be performed in such a way that the span length, authorized by the IMs, for given curves, cant and line speed, remains the same. For a given speed, maximum span length needs to be verified in the tidiest authorized curve. The given curves are simulated with regard to 3 specific track layouts: Cant equal to zero if the theoretical cant is less than the maximum cant deficiency or equal to the minimal cant with a maximum cant deficiency. The nominal cant proposed by the IM track design rules. The theoretical cant or maximum cant if the theoretical cant is larger than the maximum cant. If theoretical cant is larger than the sum of the maximum cant and maximum cant deficiency, the line speed needs to be reduced. 1.1 Infrabel The OCL Cn-107 was designed to accommodate both the 1760 mm pantograph and the 1950 mm. For this reason it has been verified to allow the 1600 mm EP and if changes are needed to prevent any dangerous situation in regard to extreme wind deflection of the OCL. In table 4 and table 5 of the provided design rules, the maximum allowable span length is shown in function of speed and curve radius. For a given operating speed there exists a minimal curve radius for which the maximum span length needs to be obtained. In those tight curves at maximum speed, maximum span length is most difficult obtained, therefore these curves are simulated with the three different cant values obtained via the described method. In almost all investigated cases the wind deflection complies with the strict TSI-rules. Only in a curve of 780 m with 60 km/h train speed, the maximum span length span length of 56 m is beyond the TSI-limit. Lateral deflection values were changed to obtain this result in comparison with Infrabel’s table. It is clear 35/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 that a lateral deflection of 39, 38 or 37 cm cannot be installed with a wind deflection of the supporting structure of 4 cm and a TSI limit of 40 cm for the 1600 mm EP. However if the results of the simulation are compared with the larger ‘orange zone’ for which actual pantograph sway is calculated according to EN 15273, the OCL remains largely within limits and no problems are expected. In table 13 the following values are shown: maximum line speed V, cant h (D), curve radius R, lateral deflection at first and second structure e1 and e2, the proposed maximum span length a, the simulated maximum span within TSI-limits a_sim, the simulated maximum of wind deflection inside curve e_i, the simulated maximum at outside of curve, or lateral deflection in a tight curve e_i and the TSI-limits of the curve. 36/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 13 : results wind deflection - Infrabel Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 V [km/h] 160 160 160 160 160 160 160 160 160 120 120 120 120 120 120 120 120 120 120 120 90 90 90 90 90 90 90 90 90 90 90 90 90 90 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 60 h [mm] 0 22 65 152 84 92 160 138 160 0 51 118 27 67 157 73 87 160 141 160 0 33 76 0 45 104 0 61 143 32 82 160 140 160 0 16 37 0 24 55 0 33 76 0 46 107 22 65 152 89 94 160 145 160 R [m] inf 2000 2000 2000 1420 1420 1420 1130 1130 1450 1450 1450 1090 1090 1090 840 840 840 630 630 1270 1270 1270 920 920 920 670 670 670 500 500 500 355 355 1140 1140 1140 780 780 780 560 560 560 400 400 400 280 280 280 195 195 195 155 155 e1 [cm] -20 -24 -25 -27 -24 -24 -27 -22 -23 -32 -31 -32 -28 -29 -31 -25 -26 -28 -20 -26 -36 -34 -34 -32 -32 -33 -30 -31 -32 -26 -28 -30 -26 -27 -36 -36 -36 -36 -36 -36 -35 -35 -35 -33 -34 -34 -30 -32 -34 -26 -26 -31 -20 -21 e2 [cm] 20 -24 -25 -27 -24 -24 -27 -22 -23 -32 -31 -32 -28 -29 -31 -25 -26 -28 -20 -26 -36 -34 -34 -32 -32 -33 -30 -31 -32 -26 -28 -30 -26 -27 -36 -36 -36 -36 -36 -36 -35 -35 -35 -33 -34 -34 -30 -32 -34 -26 -26 -31 -20 -21 a [m] 63 63 63 63 56 56 56 49 49 63 63 63 56 56 56 49 49 49 42 42 63 63 63 56 56 56 49 49 49 42 42 42 35 35 63 63 63 56 56 56 49 49 49 42 42 42 35 35 35 28 28 28 21 21 a_sim [m] 63 63 63 63 56 56 56 49 49 63 63 63 56 56 56 49 49 49 42 42 63 63 63 56 56 56 49 49 49 42 42 42 35 35 63 63 63 55.8 55.8 55.8 49 49 49 42 42 42 35 35 35 28 28 28 21 21 e_i [cm] 31.7 32.4 31.4 29.4 25.9 25.9 22.9 21.7 20.7 31.7 31.4 30.4 30.3 29.3 27.3 27.8 26.8 24.8 19.5 21.5 31.3 33.3 33.3 32.9 32.9 31.9 31.9 30.9 29.9 30.6 28.6 26.6 25.7 24.7 35.7 35.7 35.7 36.6 36.6 36.6 35.7 35.7 35.7 34.6 33.6 33.6 33.3 31.3 29.3 29.6 29.6 24.6 18.5 17.5 e_a [cm] -31.7 -27.4 -28.4 -30.4 -24.0 -24.0 -27.0 -22.0 -23.0 -32.0 -31.0 -32.0 -28.0 -29.0 -31.0 -25.0 -26.0 -28.0 -20.0 -26.0 -36.0 -34.0 -34.0 -32.0 -32.0 -33.0 -30.0 -31.0 -32.0 -26.0 -28.0 -30.0 -26.0 -27.0 -36.0 -36.0 -36.0 -36.0 -36.0 -36.0 -35.0 -35.0 -35.0 -33.0 -34.0 -34.0 -30.0 -32.0 -34.0 -26.0 -26.0 -31.0 -20.0 -21.0 eTSI_pos [m] 0.360 0.337 0.360 0.360 0.336 0.342 0.360 0.335 0.351 0.359 0.360 0.360 0.336 0.360 0.360 0.335 0.345 0.360 0.334 0.360 0.360 0.360 0.360 0.360 0.360 0.360 0.338 0.360 0.360 0.311 0.347 0.360 0.330 0.345 0.360 0.360 0.360 0.360 0.360 0.360 0.360 0.360 0.360 0.352 0.360 0.360 0.329 0.360 0.360 0.318 0.321 0.36 0.314 0.325 eTSI_neg [m] -0.360 -0.360 -0.360 -0.326 -0.360 -0.360 -0.320 -0.335 -0.320 -0.360 -0.360 -0.350 -0.360 -0.360 -0.322 -0.360 -0.360 -0.319 -0.331 -0.318 -0.322 -0.360 -0.360 -0.360 -0.360 -0.359 -0.360 -0.360 -0.330 -0.360 -0.360 -0.317 -0.329 -0.315 -0.360 -0.360 -0.360 -0.360 -0.360 -0.360 -0.360 -0.360 -0.360 -0.360 -0.360 -0.353 -0.360 -0.360 -0.319 -0.352 -0.349 -0.301 -0.309 -0.298 37/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 a) Comparison of used peak pressure to EN 50119:2009 and EN 501252:2003 or EN 1991-1-4:2005 (Eurocode 1) From figure 25 it can be derived that the application of EN 50119 or Eurocodes would lead to bigger wind pressures than those been used in the past, 45 kg/m² until 10 m (see table 10), at least if the return period is taken to be 3 years for the serviceability limit state (SLS). Altitude of the OCL [m] Comparison of dynamic peak pressures at SLS for a category II terrain in Belgium 197 187 177 167 157 147 137 127 117 107 97 87 77 67 57 47 37 27 17 7 Dynamic peak pressures at SLS according EN 19911-4:2005 Dynamic peak pressures at SLS according EN 50119:2009 Dynamic peak pressures at SLS according NBN 460.01:1960 (Construc) 0.35 0.45 0.55 0.65 0.75 0.85 0.95 1.05 1.15 1.25 1.35 1.45 qp,SLS (z) [kPa] Figure 25 : Peak wind pressures calculated with a 3 year return period 1.2 DB Netz (Re100 and Re160) DB Netz uses 3 wind zones for which maximum span lengths are defined, taking maximum lateral deflection due to wind into account. In order to fully investigate the possibility of the compliance of a 1600 mm EP, data of all three wind zones are verified. a) Demonstration of used simulation tool In order to confirm the used calculation tool with the OCL design rules used for the Re100 and Re160 (which are identical) verification was performed on the maximum lateral deviation for a wind of 26 m/s. The maximum allowed wind deflection is defined by the function in Figure 18. For maximum and minimal curves in with changing maximum wind deflection the actual wind deflection was confirmed being within the proposed limits. However some of the proposed span lengths do not comply 38/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 with TSI-limits. The limits of lateral deviation used by DB are just within the orange zone (for definition see paragraph II.C.1.2). Table 14 : Verification results and TSI-limits – DB Netz Nr. 1 V [km/h] 160 h [mm] 0 R [m] inf e_max [cm] 55 e1 [cm] -40 e2 [cm] 40 a [m] 80 a_sim [m] 80 e_i [cm] 53.6 e_a [cm] -53.6 eTSI_pos [m] 0.55 eTSI_neg [m] -0.55 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 160 160 160 160 160 160 160 160 120 120 120 100 100 100 100 100 100 100 100 100 100 100 100 60 60 60 0 43 101 10 69 160 153 160 94 105 160 0 17 40 0 27 60 0 51 119 9 72 160 0 61 142 3000 3000 3000 1900 1900 1900 1000 1000 700 700 700 3000 3000 3000 1900 1900 1900 1000 1000 1000 700 700 700 300 300 300 55 55 55 50 50 50 50 50 49 49 49 55 55 55 50 50 50 50 50 50 49 49 49 48 48 48 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -31 -31 -31 -40 -40 -40 -40 -40 -40 -40 -40 -31 -31 -31 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 80 80 80 80 80 80 67 67 59.6 59.6 59.6 80 80 80 80 80 80 67 67 67 59.6 59.6 59.6 42.4 42.4 42.4 80 80 77.3 78.3 80 80 65.1 65.3 57.3 57.2 58.7 80 80 80 80 80 80 67.1 67.2 67.3 56.6 58.3 59.2 41.3 41.4 41.7 35.9 35.9 35.9 46.8 46.8 46.8 47.9 47.9 48.8 48.8 48.8 35.9 35.9 35.9 46.8 46.8 46.8 47.9 47.9 47.9 48.8 48.8 48.8 47.9 47.9 47.9 -53.8 -53.8 -53.8 -42.6 -42.6 -42.6 -40 -40 -40 -40 -40 -53.8 -53.8 -53.8 -42.6 -42.6 -42.6 -40 -40 -40 -40 -40 -40 -40 -40 -40 0.548 0.547 0.547 0.432 0.477 0.496 0.43 0.435 0.435 0.419 0.461 0.55 0.538 0.538 0.5 0.487 0.487 0.482 0.485 0.486 0.402 0.451 0.475 0.436 0.439 0.451 -0.55 -0.55 -0.527 -0.5 -0.5 -0.433 -0.437 -0.432 -0.432 -0.453 -0.412 -0.55 -0.545 -0.545 -0.5 -0.494 -0.494 -0.5 -0.493 -0.454 -0.482 -0.478 -0.412 -0.48 -0.458 -0.402 DB Netz defines 3 wind zones for which lateral deflection is defined for maximum span lengths. In order to fully investigate the possibility of the compliance of a 1600mm pantograph, all three wind zones have been verified. Maximal span lengths are different in these wind zones : 80 m for 26 m/s, 70 m for 29.8 m/s and 65 m for 32.1 m/s . According to DB Netz the 1600 mm EP can be used for the 26 m/s wind zone, a stagger of ±30 cm, with a maximum span of 67 m. It has been confirmed in with our simulation tool that this maximum span length is within TSI-limits (±40 cm), without the mast deflection due to the wind taken into account. However with less stagger and with a less conservative limit, according to the proposed method, larger span lengths are possible. 39/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 26 : Verification of the 67 m span with ±30cm stagger for a 26 m/s wind However the constraint demanding a minimal traction in the registration arm of 80 N, cannot be assured in all curves. In large curves with a radius above 40000 m with an alternating stagger of ±20 cm and in smaller curves form 10000 m a non-alternating constant stagger will satisfy the constraint. It must however be indicated that other IMs require only that the traction in the registration arm is positive. As earlier mentioned the minimal lateral variation of the contact wire should be minimal 0.5 m / 100 m track according to the UIC 799-OR. This is but an guideline, although this defines for span lengths of 80 m a minimal alternating stagger ±20 cm for curves with a radius above 8000 m and non-alternating constant stagger in curves below 4000 m. UIC 799-OR is applicable for line speeds exceeding 160 km/h, but in other sources values of 0.3 m / 100 m are accepted [bibliography (2)]. On the Belgian conventional network 0.35 m / 100 m is required. Using this 0.3 reference, the maximum curve for non-alternating constant stagger is 6667 m. If the span length is lower, these requirements are more easily attained. It is clear that both conditions are not compatible and the suggested for the stagger may not be possible due to wind deflection. b) Wind zone 1 : wind speed 26 m/s. The maximum span length for this wind zone is 80 m, using a stagger ±40cm for the 1950 mm pantograph. Simulations are performed for straight line and well-chosen curves. When adapting the stagger to ±20cm, this maximum span length remains usable for a 1600 mm EP as the lateral deviation of the contact wire e_i 40/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 and e_a stays within the calculated limits ezj_pos and ezj_neg of the orange zone from paragraph II.C.1.2 above. Table 15 : simulation results DB Netz for wind speed 26m/s V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 160 0 inf -20 20 80 80 0.469 -0.469 0.375 -0.375 0.475 -0.475 2 160 0 20000 -25 15 80 79 0.463 -0.477 0.375 -0.375 0.453 -0.469 3 160 0 20000 -19 10 80 80 0.452 -0.465 0.375 -0.375 0.453 -0.469 4 160 0 10000 -29 11 80 78.1 0.456 -0.484 0.375 -0.375 0.441 -0.469 5 160 0 10000 -19 1 80 80 0.441 -0.463 0.375 -0.375 0.441 -0.469 6 160 0 5000 -19 -19 80 79.4 0.417 -0.477 0.375 -0.375 0.418 -0.468 7 160 26 5000 -16 -16 80 79.6 0.447 -0.447 0.375 -0.375 0.443 -0.444 8 160 61 5000 -14 -14 80 79.4 0.467 -0.427 0.375 -0.375 0.465 -0.423 9 160 0 3000 -31 -30 80 78.1 0.408 -0.485 0.371 -0.375 0.386 -0.468 10 160 43 3000 -27 -27 80 78 0.443 -0.45 0.375 -0.375 0.429 -0.427 11 160 101 3000 -23 -23 80 78.1 0.483 -0.41 0.375 -0.369 0.464 -0.393 12 160 10 1900 -48 -48 80 72.6 0.388 -0.506 0.323 -0.375 0.348 -0.460 13 160 69 1900 -42 -42 80 74.7 0.448 -0.446 0.375 -0.375 0.408 -0.402 14 160 160 1900 -36 -36 80 75.9 0.508 -0.386 0.375 -0.348 0.464 -0.348 15 160 153 1000 -44 -44 67 59.1 0.439 -0.44 0.322 -0.328 0.347 -0.352 16 160 160 1000 -44 -44 67 59.3 0.439 -0.44 0.327 -0.323 0.352 -0.347 17 120 94 700 -47 -47 59.6 51.6 0.418 -0.47 0.313 -0.364 0.338 -0.388 18 120 105 700 -44 -44 59.6 53.6 0.448 -0.44 0.369 -0.358 0.369 -0.358 19 120 160 700 -42 -42 59.6 53.6 0.468 -0.42 0.364 -0.315 0.389 -0.338 20 100 0 3000 -28 -28 80 79.6 0.433 -0.46 0.375 -0.375 0.426 -0.461 21 100 17 3000 -27 -26 80 79.7 0.448 -0.445 0.375 -0.375 0.443 -0.444 22 100 40 3000 -25 -25 80 79.6 0.463 -0.43 0.373 -0.375 0.457 -0.431 23 100 0 1900 -45 -45 80 75.6 0.418 -0.476 0.375 -0.375 0.408 -0.460 24 100 27 1900 -42 -42 80 76.9 0.448 -0.446 0.375 -0.375 0.434 -0.435 25 100 60 1900 -40 -40 80 77.9 0.468 -0.426 0.375 -0.375 0.454 -0.415 26 100 0 1000 -49 -49 67 60.7 0.389 -0.49 0.348 -0.375 0.363 -0.459 27 100 51 1000 -44 -44 67 63.2 0.439 -0.44 0.375 -0.375 0.413 -0.410 28 100 119 1000 -39 -39 67 64.9 0.470 -0.39 0.371 -0.339 0.455 -0.370 29 100 9 700 -50 -50 59.6 51.3 0.388 -0.5 0.298 -0.375 0.330 -0.451 30 100 72 700 -44 -44 59.6 55.3 0.448 -0.44 0.375 -0.375 0.395 -0.388 31 100 160 700 -38 -38 59.6 55.7 0.491 -0.38 0.37 -0.307 0.446 -0.338 32 60 0 300 -50 -50 42.4 36.8 0.379 -0.5 0.314 -0.375 0.331 -0.445 33 60 61 300 -44 -44 42.4 39.4 0.439 -0.44 0.375 -0.375 0.391 -0.387 34 60 142 300 -38 -38 42.4 39.7 0.489 -0.38 0.357 -0.308 0.440 -0.339 41/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 In figure 27 the cases 1, 2 and 4 from table 15 are shown where the first is within limits, however the latter two exceeds them slightly. With an adaptation of the stagger, the maximum span length of 80 m can be achieved. Figure 27 : wind deflection at wind speed of 26 m/s for straight line, a curve of 20000 m and 10000 m. 42/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 c) Wind zone 2 : wind speed 29.8 m/s. When adapting the stagger to ±18 cm, this maximum span length remains usable for a 1600 mm EP as the lateral deviation of the contact wire e_i and e_a stays within the calculated limits ezj_pos and ezj_neg of the orange zone. Table 16 : simulation results DB Netz for wind speed 29.8 m/s V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 160 0 inf -18 18 70 70 0.473 -0.473 0.375 -0.375 0.475 -0.475 2 160 0 4000 -18 -17 64 68.4 0.406 -0.464 0.375 -0.375 0.406 -0.468 3 160 42 4000 -15 -14 64 68.5 0.438 -0.435 0.375 -0.375 0.438 -0.437 4 160 76 4000 -12 -12 64 68.6 0.465 -0.41 0.375 -0.375 0.464 -0.412 5 160 0 3000 -25 -25 70 67.6 0.409 -0.501 0.375 -0.375 0.386 -0.468 6 160 55 3000 -20 -20 70 67.8 0.459 -0.451 0.375 -0.375 0.429 -0.427 7 160 101 3000 -17 -17 70 67.3 0.489 -0.421 0.375 -0.375 0.464 -0.396 8 160 67 1400 -47 -47 70 62.7 0.422 -0.487 0.348 -0.375 0.348 -0.417 9 160 119 1400 -43 -43 70 64 0.462 -0.447 0.375 -0.375 0.388 -0.378 10 160 160 1400 -40 -40 70 64 0.492 -0.417 0.375 -0.348 0.419 -0.348 11 160 153 1000 -45 -45 64 56 0.445 -0.45 0.347 -0.352 0.347 -0.352 12 160 160 1000 -45 -45 64 56.2 0.445 -0.45 0.352 -0.347 0.352 -0.347 13 120 94 700 -47 -47 57.1 51.3 0.419 -0.47 0.338 -0.375 0.338 -0.388 14 120 134 700 -44 -44 57.1 51.3 0.449 -0.44 0.369 -0.358 0.369 -0.358 15 120 160 700 -42 -42 57.1 51.3 0.469 -0.42 0.375 -0.338 0.389 -0.338 16 100 0 4000 -17 -16 64 69.3 0.431 -0.461 0.375 -0.375 0.434 -0.461 17 100 16 4000 -15 -15 64 69.3 0.446 -0.446 0.375 -0.375 0.446 -0.449 18 100 30 4000 -14 -14 64 69.3 0.456 -0.436 0.375 -0.375 0.457 -0.438 19 100 0 3000 -23 -22 70 69 0.434 -0.47 0.375 -0.375 0.426 -0.461 20 100 22 3000 -20 -20 70 69 0.459 -0.451 0.375 -0.375 0.443 -0.444 21 100 40 3000 -20 -19 70 69 0.464 -0.446 0.375 -0.375 0.457 -0.431 22 100 0 1400 -47 -47 70 64.5 0.422 -0.487 0.375 -0.375 0.390 -0.460 23 100 46 1400 -44 -44 70 66 0.452 -0.457 0.375 -0.375 0.426 -0.425 24 100 85 1400 -41 -41 70 67.3 0.482 -0.427 0.375 -0.375 0.456 -0.396 25 100 0 1000 -50 -50 64 57.9 0.395 -0.5 0.363 -0.375 0.363 -0.459 26 100 65 1000 -45 -45 64 59.8 0.445 -0.45 0.375 -0.375 0.413 -0.410 27 100 119 1000 -40 -40 64 61.4 0.495 -0.4 0.375 -0.37 0.456 -0.370 28 100 72 700 -46 -46 57.1 52.4 0.429 -0.46 0.375 -0.375 0.379 -0.404 29 100 93 700 -44 -44 57.1 52.9 0.449 -0.44 0.375 -0.375 0.395 -0.388 30 100 160 700 -39 -39 57.1 53.3 0.499 -0.39 0.375 -0.338 0.446 -0.338 31 60 0 300 -50 -50 41.5 37 0.382 -0.5 0.331 -0.375 0.331 -0.445 32 60 78 300 -44 -44 41.5 38.5 0.442 -0.44 0.375 -0.375 0.391 -0.387 33 60 142 300 -39 -39 41.5 38.8 0.492 -0.39 0.375 -0.339 0.440 -0.339 43/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 d) Wind zone 3 : wind speed 32.1 m/s. When adapting the stagger to ±17 cm, this maximum span length remains usable for a 1600 mm EP as the lateral deviation of the contact wire e_i and e_a stays within the calculated limits ezj_pos and ezj_neg of the orange zone. Table 17 : simulation results DB Netz for wind speed 32.1 m/s V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 160 0 inf -17 17 65 65 0.473 -0.473 0.375 -0.375 0.475 -0.475 2 160 0 4000 -27 -1 61 62 0.373 -0.435 0.375 -0.375 0.406 -0.468 3 160 42 4000 -25 1 61 62.3 0.431 -0.434 0.375 -0.375 0.438 -0.437 4 160 76 4000 -21 5 61 62.7 0.433 -0.375 0.375 -0.375 0.464 -0.412 5 160 0 3000 -22 -21 65 62.7 0.419 -0.497 0.375 -0.375 0.386 -0.468 6 160 55 3000 -18 -18 65 62.6 0.454 -0.462 0.375 -0.375 0.429 -0.427 7 160 101 3000 -14 -14 65 62.6 0.494 -0.422 0.375 -0.375 0.464 -0.393 8 160 67 1300 -45 -45 65 58.6 0.414 -0.501 0.335 -0.375 0.335 -0.417 9 160 128 1300 -41 -40 65 58.7 0.459 -0.457 0.375 -0.371 0.382 -0.371 10 160 160 1300 -38 -38 65 58.7 0.484 -0.431 0.375 -0.347 0.407 -0.348 11 160 153 1000 -44 -44 61 54.1 0.430 -0.440 0.347 -0.352 0.347 -0.352 12 160 160 1000 -43 -43 61 54.3 0.440 -0.430 0.352 -0.347 0.352 -0.347 13 120 94 700 -47 -47 55.5 49.5 0.417 -0.470 0.338 -0.375 0.338 -0.388 14 120 134 700 -44 -44 55.5 49.9 0.447 -0.440 0.369 -0.358 0.369 -0.358 15 120 160 700 -42 -42 55.5 49.9 0.467 -0.420 0.375 -0.338 0.389 -0.338 16 100 0 4000 -27 -1 61 63.1 0.424 -0.461 0.375 -0.375 0.434 -0.461 17 100 16 4000 -25 1 61 63.2 0.446 -0.443 0.375 -0.375 0.446 -0.449 18 100 30 4000 -24 2 61 63.3 0.458 -0.433 0.375 -0.375 0.457 -0.438 19 100 0 3000 -20 -19 65 63.8 0.439 -0.477 0.375 -0.375 0.426 -0.461 20 100 22 3000 -18 -18 65 63.9 0.454 -0.462 0.375 -0.375 0.443 -0.444 21 100 40 3000 -17 -16 65 63.8 0.469 -0.447 0.375 -0.375 0.457 -0.431 22 100 0 1300 -44 -44 65 60.7 0.424 -0.491 0.375 -0.375 0.385 -0.459 23 100 50 1300 -41 -41 65 62.2 0.454 -0.461 0.375 -0.375 0.424 -0.422 24 100 85 1300 -38 -37 65 62.3 0.489 -0.427 0.375 -0.375 0.451 -0.391 25 100 0 1000 -48 -48 61 55.9 0.390 -0.480 0.363 -0.375 0.363 -0.459 26 100 65 1000 -43 -43 61 57.8 0.440 -0.430 0.375 -0.375 0.413 -0.410 27 100 119 1000 -39 -39 61 59.4 0.480 -0.390 0.375 -0.370 0.455 -0.370 28 100 72 700 -46 -46 55.5 50.9 0.427 -0.460 0.375 -0.375 0.379 -0.404 29 100 93 700 -44 -44 55.5 51.5 0.447 -0.440 0.375 -0.375 0.395 -0.388 30 100 160 700 -39 -39 55.5 51.9 0.497 -0.390 0.375 -0.338 0.446 -0.338 31 60 0 300 -50 -50 40.8 36.5 0.378 -0.500 0.331 -0.375 0.331 -0.445 32 60 78 300 -44 -44 40.8 38 0.438 -0.440 0.375 -0.375 0.391 -0.387 33 60 142 300 -39 -39 40.8 38.2 0.488 -0.390 0.375 -0.339 0.440 -0.339 44/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1.3 PKP (YC150-2CS150 and 2C120-2C-3) Both OCLs are designed with a wind speed of 32.9m/s according to the EN 50119 standard. In modernization projects the stagger is adapted to suit both the 1600 mm and the 1950 mm pantograph. The wind deflection of the OCLs is calculated using the present rules and maximum span length is determined for the 1950 mm. For both OCLs the stagger was adapted in order to maximize the span length for the 1600 mm EP. a) Present installed stagger and 1950 mm pantograph The maximum span length for the modern YC150-2CS150 OCL and the 2C120-2C-3 is 66 m. The stagger for straight line is alternating -30/+30 cm and in curves non-alternating -30/-30 cm or -40/-40 cm in small curves. Table 18 : simulation results PKP YC150-2CS150 for 1950 mm pantograph V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 200 0 inf -30 30 66 66.0 0.407 -0.407 0.49 -0.49 0.574 -0.574 2 200 0 20000 -30 30 66 66.0 0.429 -0.385 0.49 -0.49 0.557 -0.574 3 200 10 20000 -30 30 66 66.0 0.429 -0.385 0.49 -0.49 0.564 -0.570 4 200 0 10000 -30 30 66 66.0 0.452 -0.365 0.49 -0.49 0.540 -0.574 5 200 20 10000 -30 30 66 66.0 0.452 -0.365 0.49 -0.49 0.554 -0.562 6 200 0 5000 -30 30 66 65.2 0.500 -0.329 0.49 -0.49 0.506 -0.574 7 200 41 5000 -30 30 66 65.2 0.500 -0.329 0.49 -0.49 0.535 -0.547 8 200 95 5000 -30 30 66 65.2 0.500 -0.329 0.49 -0.49 0.574 -0.510 9 200 8 3000 -30 -30 66 66.0 0.222 -0.459 0.466 -0.49 0.466 -0.570 10 200 68 3000 -30 -30 66 66.0 0.222 -0.459 0.49 -0.49 0.509 -0.528 11 200 150 3000 -30 -30 66 66.0 0.222 -0.459 0.49 -0.471 0.567 -0.471 12 200 99 1900 -30 -30 66 66.0 0.327 -0.354 0.465 -0.49 0.465 -0.506 13 200 107 1900 -30 -30 66 66.0 0.327 -0.354 0.471 -0.49 0.471 -0.500 14 200 150 1900 -30 -30 66 66.0 0.327 -0.354 0.49 -0.470 0.501 -0.470 15 160 83 1300 -40 -40 64 64.0 0.314 -0.40 0.449 -0.49 0.449 -0.501 16 160 100 1300 -40 -40 64 64.0 0.314 -0.40 0.461 -0.489 0.461 -0.489 17 160 150 1300 -40 -40 64 64.0 0.314 -0.40 0.49 -0.454 0.497 -0.454 18 140 82 1000 -40 -40 57 57.0 0.258 -0.40 0.448 -0.49 0.448 -0.501 19 140 99 1000 -40 -40 57 57.0 0.258 -0.40 0.460 -0.49 0.460 -0.49 20 140 150 1000 -40 -40 57 57.0 0.258 -0.40 0.49 -0.454 0.497 -0.454 21 120 94 700 -40 -40 47 47.0 0.164 -0.40 0.414 -0.459 0.414 -0.459 22 120 105 700 -40 -40 47 47.0 0.164 -0.40 0.422 -0.452 0.422 -0.452 23 120 150 700 -40 -40 47 47.0 0.164 -0.40 0.454 -0.420 0.454 -0.420 24 60 0 300 -40 -40 31 31.0 0.073 -0.40 0.390 -0.49 0.390 -0.496 25 60 61 300 -40 -40 31 31.0 0.073 -0.40 0.434 -0.453 0.434 -0.453 26 60 142 300 -40 -40 31 31.0 0.073 -0.40 0.49 -0.397 0.492 -0.397 45/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 19 : simulation results PKP 2C120-2C-3 for 1950 mm pantograph V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 220 0 inf -20 20 66 66.0 0.385 -0.385 0.49 -0.49 0.574 -0.574 2 220 0 20000 -20 20 66 66.0 0.410 -0.360 0.49 -0.49 0.553 -0.574 3 220 12 20000 -20 20 66 66.0 0.410 -0.360 0.49 -0.49 0.562 -0.568 4 220 0 10000 -20 20 66 66.0 0.436 -0.336 0.49 -0.49 0.533 -0.574 5 220 24 10000 -20 20 66 66.0 0.436 -0.336 0.49 -0.49 0.550 -0.560 6 220 0 5000 -20 20 66 66.0 0.487 -0.288 0.49 -0.49 0.491 -0.574 7 220 49 5000 -20 20 66 66.0 0.487 -0.288 0.49 -0.49 0.526 -0.542 8 220 115 5000 -20 20 66 66.0 0.487 -0.288 0.49 -0.49 0.574 -0.496 9 220 41 3000 -20 -20 66 66.0 0.339 -0.376 0.466 -0.49 0.466 -0.547 10 220 82 3000 -20 -20 66 66.0 0.339 -0.376 0.49 -0.49 0.495 -0.518 11 220 150 3000 -20 -20 66 66.0 0.339 -0.376 0.49 -0.471 0.544 -0.471 12 220 137 2000 -30 -30 66 66.0 0.329 -0.385 0.465 -0.479 0.465 -0.479 13 220 150 2000 -30 -30 66 66.0 0.329 -0.385 0.475 -0.470 0.475 -0.470 14 160 83 1300 -40 -40 64 64.0 0.330 -0.40 0.449 -0.49 0.449 -0.501 15 160 100 1300 -40 -40 64 64.0 0.330 -0.40 0.461 -0.489 0.461 -0.489 16 160 150 1300 -40 -40 64 64.0 0.330 -0.40 0.49 -0.454 0.497 -0.454 17 140 82 1000 -40 -40 57 57.0 0.275 -0.40 0.448 -0.49 0.448 -0.501 18 140 99 1000 -40 -40 57 57.0 0.275 -0.40 0.460 -0.49 0.460 -0.49 19 140 150 1000 -40 -40 57 57.0 0.275 -0.40 0.49 -0.454 0.497 -0.454 20 120 94 700 -40 -40 47 47.0 0.229 -0.40 0.414 -0.459 0.414 -0.459 21 120 105 700 -40 -40 47 47.0 0.229 -0.40 0.422 -0.452 0.422 -0.452 22 120 150 700 -40 -40 47 47.0 0.229 -0.40 0.454 -0.420 0.454 -0.420 23 60 0 300 -40 -40 31 31.0 0.082 -0.40 0.390 -0.49 0.390 -0.496 24 60 61 300 -40 -40 31 31.0 0.082 -0.40 0.434 -0.453 0.434 -0.453 25 60 142 300 -40 -40 31 31.0 0.082 -0.40 0.49 -0.397 0.492 -0.397 46/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 b) Adapted stagger and 1600 mm EP In order to accommodate the 1600 mm EP on the PKP OCLs, stagger was adapted from the original design rules. Maximum span lengths in straight line and large curves can be obtained in this way. Table 20 : simulation results PKP YC150-2CS150 for 1600 mm EP V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 200 0 inf -30 30 66 66.0 0.407 -0.407 0.34 -0.34 0.449 -0.449 2 200 0 20000 -30 30 66 66.0 0.429 -0.385 0.34 -0.34 0.432 -0.449 3 200 10 20000 -30 30 66 66.0 0.429 -0.385 0.34 -0.34 0.439 -0.445 4 200 0 10000 -30 20 66 66.0 0.385 -0.391 0.34 -0.34 0.415 -0.449 5 200 20 10000 -30 25 66 66.0 0.418 -0.377 0.34 -0.34 0.429 -0.437 6 200 0 5000 -30 10 66 66.0 0.372 -0.375 0.34 -0.34 0.381 -0.449 7 200 41 5000 -30 15 66 66.0 0.403 -0.361 0.34 -0.34 0.410 -0.423 8 200 95 5000 -30 20 66 66.0 0.434 -0.349 0.34 -0.34 0.449 -0.385 9 200 8 3000 -30 -10 66 66.0 0.327 -0.375 0.34 -0.34 0.341 -0.445 10 200 68 3000 -30 0 66 66.0 0.383 -0.345 0.34 -0.34 0.384 -0.403 11 200 150 3000 -30 10 66 66.0 0.441 -0.322 0.34 -0.34 0.443 -0.346 12 200 99 1900 -30 -30 66 66.0 0.327 -0.354 0.34 -0.34 0.340 -0.381 13 200 107 1900 -30 -30 66 66.0 0.327 -0.354 0.34 -0.34 0.346 -0.375 14 200 150 1900 -29 -29 66 66.0 0.337 -0.344 0.34 -0.34 0.376 -0.345 15 160 83 1300 -38 -38 64 63.1 0.334 -0.38 0.324 -0.34 0.324 -0.376 16 160 100 1300 -37 -37 64 63.2 0.344 -0.37 0.336 -0.34 0.336 -0.364 17 160 150 1300 -34 -34 64 63.0 0.374 -0.34 0.34 -0.329 0.372 -0.329 18 140 82 1000 -37 -37 57 58.5 0.288 -0.370 0.323 -0.34 0.323 -0.377 19 140 99 1000 -36 -36 57 58.6 0.298 -0.360 0.335 -0.34 0.335 -0.365 20 140 150 1000 -32 -32 57 58.4 0.338 -0.320 0.34 -0.329 0.372 -0.329 21 120 94 700 -33 -33 47 49.2 0.234 -0.330 0.289 -0.334 0.289 -0.334 22 120 105 700 -32 -32 47 49.1 0.244 -0.320 0.297 -0.327 0.297 -0.327 23 120 150 700 -29 -29 47 49.2 0.274 -0.290 0.329 -0.295 0.329 -0.295 24 60 0 300 -37 -37 31 35.9 0.108 -0.370 0.265 -0.34 0.265 -0.371 25 60 61 300 -32 -32 31 35.7 0.158 -0.320 0.309 -0.328 0.309 -0.329 26 60 142 300 -27 -27 31 36.0 0.208 -0.270 0.34 -0.272 0.367 -0.272 47/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 21 : simulation results PKP 2C120-2C-3 for 1600 mm EP V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 220 0 inf -20 20 66 66.0 0.385 -0.385 0.340 -0.340 0.449 -0.449 2 220 0 20000 -20 20 66 66.0 0.410 -0.360 0.340 -0.340 0.428 -0.449 3 220 12 20000 -20 20 66 66.0 0.410 -0.360 0.340 -0.340 0.437 -0.443 4 220 0 10000 -20 15 66 66.0 0.405 -0.353 0.340 -0.340 0.408 -0.449 5 220 24 10000 -20 15 66 66.0 0.405 -0.353 0.340 -0.340 0.425 -0.435 6 220 0 5000 -30 5 66 66.0 0.357 -0.404 0.340 -0.340 0.366 -0.449 7 220 49 5000 -30 5 66 66.0 0.357 -0.404 0.340 -0.340 0.401 -0.417 8 220 115 5000 -25 10 66 66.0 0.407 -0.354 0.340 -0.340 0.449 -0.371 9 220 41 3000 -30 -15 66 66.0 0.316 -0.409 0.340 -0.340 0.341 -0.422 10 220 82 3000 -30 -10 66 66.0 0.343 -0.390 0.340 -0.340 0.370 -0.393 11 220 150 3000 -25 -5 66 66.0 0.393 -0.340 0.340 -0.340 0.419 -0.346 12 220 137 2000 -28 -28 66 65.0 0.349 -0.365 0.340 -0.340 0.340 -0.354 13 220 150 2000 -27 -27 66 64.9 0.359 -0.355 0.340 -0.340 0.350 -0.345 14 160 83 1300 -39 -39 64 62.3 0.340 -0.390 0.324 -0.340 0.324 -0.376 15 160 100 1300 -38 -38 64 62.4 0.350 -0.380 0.336 -0.340 0.336 -0.364 16 160 150 1300 -34 -34 64 62.3 0.390 -0.340 0.340 -0.329 0.372 -0.329 17 140 82 1000 -37 -37 57 57.8 0.305 -0.370 0.323 -0.340 0.323 -0.376 18 140 99 1000 -36 -36 57 57.9 0.315 -0.360 0.335 -0.340 0.335 -0.365 19 140 150 1000 -32 -32 57 57.7 0.355 -0.320 0.340 -0.329 0.372 -0.329 20 120 94 700 -33 -33 47 48.6 0.249 -0.330 0.289 -0.334 0.289 -0.334 21 120 105 700 -32 -32 47 48.5 0.259 -0.320 0.297 -0.327 0.297 -0.327 22 120 150 700 -29 -29 47 48.6 0.289 -0.290 0.329 -0.295 0.329 -0.295 23 60 0 300 -37 -37 31 35.6 0.112 -0.370 0.265 -0.340 0.265 -0.371 24 60 61 300 -32 -32 31 35.4 0.162 -0.320 0.309 -0.328 0.309 -0.328 25 60 142 300 -27 -27 31 35.7 0.212 -0.270 0.340 -0.272 0.367 -0.272 1.4 ADIF (EAC350) The ADIF high speed OCL EAC350 has been designed for wind speeds up to 34 m/s. Maximum span lengths are 64 m and maximum installed stagger is 20 cm. Data for typical span lengths in curves were not provided for this OCL, nevertheless are the maximum span lengths calculated for straight line and some typical curves. With the maximum stagger values, maximum span length of 64 m can be obtained in curves with radii superior of 1400 m. In the smaller curves, train speed is limited to 160 km/h or less and high speed OCL might not be installed on tracks with these speed limitations, but the results can be used to compare them with these of other OCLs. 48/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 22 : simulation results ADIF EAC350 for 1600 mm EP V h R e1 e2 a a_sim e_i e_a eSTI_pos eSTI_neg ezj_pos ezj_neg Nr. [km/h] [mm] [m] [cm] [cm] [m] [m] [m] [m] [m] [m] [m] [m] 1 350 0 inf -20 20 64 64 0.273 -0.273 0.36 -0.36 0.479 -0.479 2 350 0 20000 -20 20 64 64 0.294 -0.253 0.36 -0.36 0.422 -0.479 3 350 73 20000 -20 20 64 64 0.294 -0.253 0.36 -0.36 0.476 -0.427 4 350 0 10000 -20 20 64 64 0.316 -0.234 0.36 -0.36 0.368 -0.479 5 350 145 10000 -20 20 64 64 0.316 -0.234 0.36 -0.36 0.475 -0.375 6 300 63 5000 -20 20 64 64 0.362 -0.206 0.36 -0.36 0.364 -0.434 7 300 91 5000 -20 20 64 64 0.362 -0.206 0.36 -0.36 0.385 -0.414 8 300 180 5000 -20 20 64 64 0.362 -0.206 0.36 -0.35 0.45 -0.35 9 220 41 3000 -20 5 64 64 0.335 -0.200 0.356 -0.36 0.356 -0.442 10 220 82 3000 -20 5 64 64 0.335 -0.200 0.36 -0.36 0.387 -0.412 11 220 180 3000 -20 5 64 64 0.335 -0.200 0.36 -0.342 0.459 -0.342 12 160 10 1900 -20 -20 64 64 0.299 -0.200 0.343 -0.36 0.343 -0.45 13 160 69 1900 -20 -20 64 64 0.299 -0.200 0.36 -0.36 0.386 -0.408 14 160 160 1900 -20 -20 64 64 0.299 -0.200 0.36 -0.343 0.453 -0.343 15 160 67 1400 -36 -36 64 64 0.235 -0.360 0.342 -0.36 0.342 -0.409 16 160 93 1400 -36 -36 64 64 0.235 -0.360 0.36 -0.36 0.361 -0.39 17 160 180 1400 -32 -32 64 64 0.275 -0.320 0.36 -0.328 0.426 -0.328 18 160 153 1000 -34 -34 61.4 61.4 0.340 -0.340 0.341 -0.347 0.341 -0.347 19 160 180 1000 -32 -32 61.4 61.4 0.360 -0.320 0.36 -0.327 0.361 -0.327 20 120 94 700 -38 -38 55.5 55.6 0.338 -0.380 0.34 -0.36 0.34 -0.388 21 120 105 700 -37 -37 55.5 55.5 0.348 -0.370 0.348 -0.36 0.348 -0.38 22 120 180 700 -32 -32 55.5 55.7 0.398 -0.320 0.36 -0.326 0.404 -0.326 23 60 0 300 -40 -40 40 39.8 0.350 -0.400 0.341 -0.36 0.341 -0.45 24 60 61 300 -40 -40 40 40.9 0.350 -0.400 0.36 -0.36 0.386 -0.407 25 60 180 300 -32 -32 40 41.2 0.430 -0.320 0.36 -0.321 0.468 -0.321 49/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 2. Clearance 2.1 Infrabel On high speed lines, which were designed for 1450 mm and 1600 mm pantographs, the use of a large 1950 mm pantograph will cause problems as it might touch the OCL (in green) above the deviated track of a switch. This can only be solved when abandoning the use of the 1450 mm pantograph. There are however almost no mechanical clearance problems towards structures and steady arms. Electrical clearances are on the limit of being infringed by the support of the neighboring track (left track on figure 28). Figure 28 : clearance at switch with 3rd OCL 2.2 SNCF/RFF a) V200 OCL (1) Curves The design of the steady arm of the 25 kV V200 OCL has been done for an extreme position of the 1600 mm pantograph, according to the following criteria: Maximum contact wire height = 6200 mm Stagger = -240 mm Maximum cant on the French national network (RFN) = 180 mm Operating speed = 200 km/h Contact wire uplift = 240 mm The calculations of the pantograph sway have been done according to the following approximated formula: If cant or cant deficiency remain within the limits 0.066 mm < [D or I] <= 0.180 mm, then : ( ) ([ ] ) ( ) [7] Where : D : cant (m) (dévers in French) I : cant deficiency (m) (insuffisance de dévers in French) B : pantograph sway (m) (balancement in French) 50/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 To define pantograph gauges, the sway value is increased by a mechanical margin of 95 mm (« historical » SNCF value). Thus, according to the above parameters, the sway value is 462 mm. Therefore a large 1950 mm pantograph could bring a risk of clearance infringements from the heel of the steady arm, but only under the above conditions, i.e. when contact wire height is at its maximum value of 6200 mm and cant deficiency is also maximal, 160 mm. This is illustrated in figure 29 below. Figure 29 : clearance problems for V200 OCL when stagger at the mast = -240 mm and cant = 180 mm (which means also maximum cant deficiency of 160 mm at 200 km/h in a curve with a radius R = 1390 m) It should be noted that normal contact wire height is 5500 mm. Figure 29 thus gives a picture of an extreme situation of contact wire height and track layout. It creates a problem where there is not always one, as seen on figure 30 below, where a more realistic gauge is depicted. The difference can be explained in the following way: SNCF assumes that the EP lifts up about 240 mm, which is correct if one accounts for a safety factor 2 as TSI requires, but also that the pantograph moves sideways over a distance of approximately 462 mm. This is way too much if we apply the EN 50367:2006 (calculation of L2) or the 2012 version, which refers to a calculation in accordance with EN 15273:2009 (because the formula from the version 2006, among others things, does not apply to a broad pantograph, but only for a EP). The maximum lateral displacement on the reference vehicle with s=0.225 is than about 297 mm, so 164 mm less than what has been drawn ! This lower sway value of almost 300 mm, which corresponds to an L2 of almost 1300 mm, is obtained in the following way: Discarding the historical margin of 95 mm Using a geometric mean of the track faults instead of a linear build up: the terms ( ) contain this margin for track faults, but should be calculated according to the formula 1 on page 15 and EN 15273, this means √ ( ) 51/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Using more realistic values for the track faults at 200 km/h: in the terms above SNCF uses 0.05 m for track alignment (Tvoie) and 0.015 m for cant faults in curves (Tc). From table 3 above, taken from EN 15273-3, the recommended value for Tvoie is 0.025 m. In the questionnaire SNCF gave a value of 0.028 m as a value for immediate intervention. Both these values are very high at 200 km/h, other countries use 0.008 mm (Italy), 0.009 mm (Germany) or 0.010 m (Belgium), but 0.025 m has been retained for calculating the lower sway. At 200 km/h also the recommended value for Tc is very high and has been limited to 0.006 m for calculating the lower sway at speeds above 160 km/h. The theoretical pantograph gauge is not infringed by the steady arm. In addition, there is still an air gap of approximately 70 mm between the uplifted steady arm and the uplifted and swayed 1950 mm pantograph, due to its real rounded shape rather than the theoretical edged clearance shape of EN 15273. Figure 30 : realistic pantograph sway and gauge according to EN-15273 at 200 km/h and 6.20 m CWH Other combinations of stagger, curve radiuses and cant/cant deficiency have been investigated, notably the relatively small stagger values of 0, -90 or +50 mm in curves with radiuses between 3000 m and 7500 m from figure 23, but no possible clearance problems have been detected when applying EN 15273 for a 1950 mm pantograph. 52/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 (2) Tunnels The use of a 1950 mm pantograph can cause clearance problems in some old refurbished tunnels as illustrated in figure 31. For economic reasons, this tunnel has been electrified with 25 kV as the surrounding network mainly consists of this type of electrification. The gauge MR 3.3 corresponds to gauge GA, minimum contact wire height is 4.59 m, with a static insulation distance of 0.17 m according to EN 50119. Figure 31 : clearance problems for V200 OCL on the Bourg-en-Bresse – Bellegarde line 53/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 b) 1.5 kV OCLs No data have been provided by SNCF concerning the 1.5 kV network in France, but it has been confirmed that there is no problem regarding clearance for both 1600 mm and 1950 mm pantographs, at least sideways, but there is a problem when considering uplift according to EN50119. This is probably due to the fact that for these mainly compound types of OCLs, the steady arm is a straight one instead of a bended shape. If additionally the heel of the steady arm is situated above the pantograph gauge, there is a risk of touching this part in the case high uplift values. Figure 32 : a pole with a compound type 1.5 kV OCL on the Tours-Bordeaux line 54/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 2.3 RFI Both OCLs 320 FF and 440 FR have similar supporting structures. Also the design rules of stagger in curves are equal: in straight line the stagger is -20/+20 cm, in curves with radii above 300 m it is -20/-20 cm and -20/0/-20 cm in curves with smaller radii. RFI provided two clearance gauge profiles in figure 24 above : straight line and a curve with 250 m radius and 160 mm cant at maximum speed of 60 km/h. The profiles are electrical gauges and include an isolation distance of 50 mm. a) Clearance at support structures For straight track no infringement problems for the 1950 mm pantograph are expected. In figure 33 the RFI electrical gauge is drawn in green and the 1600 mm EP lifted to the RFI limit, this is the maximum limit minus the 50 mm electrical insulation distance also in green. The 1950 mm pantograph in magenta is drawn in the lifted position at standstill and one set of the steady arms show their normal position. When the 1950 mm pantograph is begin swayed and uplifted to the maximum of 190 mm (240 mm minus the 50 mm electrical insulation distance) the lifted set of steady arms remain outside of the kinematic pantograph gauge, shown in grey. Figure 33 : no clearance problems for the 1950 mm pantograph on 320 FF/440 FR OCL in straight line Small curves with radii below 300 m contain support structures with an installed stagger of 0 cm. In these curves infringement issues can occur for the 1950 mm pantograph. Figure 34 shows the RFI electrical gauge and uplifted 1600 mm EP in green, the lifted 1950 mm pantograph in magenta. The limited speed of 60 km/h does not cause the 1950 mm pantograph to be fully uplifted, but only lifts it over 60 mm maximum as shown in grey. The set of steady arms won’t be lifted in the ultimate position and will enter the grey kinematic pantograph gauge and cause infringement issues. Minor adaptation to the stagger or an adapted design of the steady arm can solve these limited issues. 55/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 34 possible clearance problems for the 1950 mm pantograph on 320 FF/440 FR OCL in a curve with 250 m radius and 160 mm cant b) Station awnings RFI reported gauge problems for the 1950 mm pantograph with the station awning and tunnels. However the extend of the problem was not reported : the number of station awnings and the length of the lines with these tunnels. Pictures of the line Roma-Firenze in figure 35 and figure 36 depict the infringement of a 1950 mm pantograph in the lifted position at standstill. The end horns of a 1950 mm pantograph will make contact with awning structure and therefore does the awning comes within the distance of the half-width from the track center. From figure 33 it can be deduced that this indicates that the awning enters already the current RFI gauge profile for straight track. The magenta 1950 mm pantograph remains within the green gauge profile at all times. This indicates that the respective station awnings do not respect the by RFI demanded gauge profile. It is clear that a train with a 1950 mm pantograph can never pass without any adaptations: constructional adaptation of the awning or adaptation of the OCL. 56/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 35 : infringement of 1950 mm pantograph on a station awning Figure 36 : infringement of 1950 mm pantograph on a station awning: the end horn of the pantograph collides with the station awning A possible solution to this problem could be the lowering of the contact wire in order to pass the electrical gauge of the 1950 mm pantograph under the station awning. More information is needed in order to fully assess these problems. 57/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 3. Comparison between mast deflection values and stagger tolerances Calculations according to EN 15273-1 neither account for the wind deflection of the supporting structures, nor the offset of stagger due to installation tolerances. In the UIC 606-1 leaflet, the mast deflection (Um or zbw, questionnaire parameter 1.54) and the stagger tolerances (Ut, questionnaire parameter 1.60) are considered to be a stochastic value; however the mast deflection can occur at any given mast, while maximum extreme wind actions are present. In this study both effects have been included according to formulas [1] and [5] or [6]. This means mast deflection is treated as deterministic whilst stagger tolerance is treated as stochastic. Where stagger tolerances are quite similar in the various countries, mast deflection can change a lot depending on the type of poles being used. A comparison is being given in table 23. Table 23 : mast deflection and stagger tolerances Country Infrabel DB Netz PKP ADIF SNCF RFI Mast deflection zbw (1.54) Stagger tolerances Ut (1.60) [cm] [cm] distance between contact wires at mast if more than one is present (1.65) [cm] 4 7 2.5 (0) 6 4 5.5 6 ±2 ±3 ±2 ±4 ±2 ± 2.5 4 (Cn-107) 8 (both OCLs) 5 In the probability analysis in ANA_2 of the 1600 mm EP and the 1950 mm pantograph, the effect of the mast deflection in windy conditions is taken into account as a deterministic parameter. When the contact wire will be deviated due to wind load, it is supposed that the structures supporting the OCL will also experience this same wind load and will deform accordingly. If the OCL consists of two contact wires the lateral deviation can be decreased with half the distance between these contact wires, because they do act as a pair. If the contact wires are deviated to an extreme position, there will only be a dewirement if both outside and inside wires exceed the ultimate limit in that specific case. The stagger errors are considered to be of random nature and can be opposite at the two poles on each side of a span. Both stagger errors only lead to a maximum lateral deviation of the contact wire(s) if at both masts the stagger has been installed at its maximum limit authorized by the tolerance and if both errors are in the same direction. Therefore only the standard deviation of the stagger errors and not the maximum tolerated value is used to account for these stagger errors. The standard deviation is supposed to be a third of the tolerance because tolerances are considered to be a maximum error and in a normal distribution three times the standard deviation covers 99,7% of all possible values. 7 In case of concrete masts this value is 0 [bibliography (2)] 58/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 R. Puschmann [bibliography (2)] proposes in an article to treat both phenomena above mentioned, i.e. mast deflection and stagger errors, stochastically. By thus calculating a geometric mean according to [8] this approach leads to comparable results, as shown in table 24. √ [8] Table 24 : contact wire deviation due to mast deflection and stagger Country Infrabel DB Netz PKP ADIF SNCF RFI ANA_2 value Value formula [8] [cm] [cm] 2.67 3.5 (2.5) 2.67 5.33 6.17 4.33 2.8 3.9 (2.5) 2.8 5.66 6.04 6.5 As illustrated in figure 37 the maximum lateral deviation of the contact wire is thus obtained by: [9] with v from [8]. The above formula shall be compared with above equations [5] and [6], where zbw is extracted from the square root as it is considered to be deterministic. Figure 37: definitions of contact wire lateral positions and designations in span [bibliography (2)] The difference between treating zbw as deterministic or stochastic depends on the size of wind gusts as compared to the span lengths: for larger spans the wind gust will not simultaneously affect both surrounding poles and the OCL(s) in the span between them, as as typical wind gust sizes are estimated to have an effective width of about 20 m [bibliography (1)]. 59/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 IV. ANA_2: Probability analysis of 1600 in 1950 network and vice versa A. Dynamic analysis 1. Goal The goal of the dynamic analysis is to determine the probability of a dewirement of 1600 mm pantographs in 1950 mm network and vice versa. As a 1950 mm pantograph is wider than a 1600 mm pantograph it is unlikely that a dewirement will occur with a 1950 mm pantograph in a 1600 mm network. The probability of a 1950 mm pantograph dewirement in the 1600 mm network is therefore 0. In the 1600 mm network the 1950 mm pantograph gives a clearance gauge problem and not a dewirement problem. Therefore in this part of the study only the 1950 mm networks have been investigated with the use of 1600 mm pantographs and not vice versa. The networks of investigation are Belgium, Poland and Germany. 2. Approach The approach to achieve this goal is as follows: Write a program to calculate the position of the pantograph according EN15273:2013; Make input file for the different vehicles of investigation; Make input files for the different tracks in relation to the OCLs of investigation; Read input from the calculation of the contact wire position (result from ANA_1); Calculate the probability of a dewirement based on a Monte Carlo simulation for each train-trackcurve situation; Create output files with probabilities. 3. Program In Matlab (version 8.0) the calculations according EN15273:2013 have been programmed. As a large matrix of calculations has to be carried out there are several loops to vary the tracks, the vehicle type, the speed, the OCL type, etc. The use of input files for vehicles, tracks and OCLs, and the use of automated output files reduce the possibility of in- and output errors. For the calculation of the probability of a dewirement the Monte Carlo simulation has been used. In this simulation 50.001 starting points (between the limit values) have been taken for the first variable. For these 50.001 starting points random numbers will be taken from the following variables between their limit values. This will result in 50.001 lateral positions of the pantograph in relation to the track. Also the angle of the pantograph is being calculated as a secondary result. In the following figure this process has been made visible. On the left is the starting point after which there are 50.001 possible combinations. Each combination will have a random behavior resulting in a random end result on the right side of the figure. 60/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 38 : Monte Carlo simulation: development of additional random steps The variables that are used in the simulation are listed in the following table. For each variable is listed if they are taken stochastic or deterministic. If the variable is stochastic the probability function has a normal distribution. Table 25 : Input variables for calculation of pantograph position Elements transverse direction semi-width of the vehicle vehicle construction tolerances geometric overthrow bveh bvt bgi/bga between wheelset and bogie transverse clearances of the wheelsets bq bl between the body and bogie bw effect of track gauge widening Formula Ignored up to 0,0025 m for semi-widths b ( ) or ( ), EN 15273-2 sections A.3.9.1, A.3.9.2 and A.3.9.3 A.q, EN 15273-2 sections A.3.9.1, A.3.9.2 and A.3.9.3 , EN 15273-2 sections A.3.9.1, A.3.9.2 and A.3.9.3 A.w(R), EN 15273-2 sections A.3.9.1, A.3.9.2 and A.3.9.3 , depending on the curve dimensions Cant bD Dissymmetry bsusp ( bcharge ( Cant deviation bTD Infrastructure construction tolerances track irregularities btol Track displacement Flexibility of the pantograph bvoie bt Pantograph construction and installation tolerance Suspension adjustment tolerances bτ ) ) )( ) )( ( ) Depends of the infrastructure manager bosc bθ )( ( ( ) - Deterministic or stochastic Deterministic (value 0) Deterministic Stochastic “and off-set” Deterministic and stochastic Stochastic “and off-set” Included in bl Deterministic Stochastic (value 0) Stochastic (value 0) Stochastic (speed dependent) Stochastic (value 0) Stochastic Stochastic Stochastic Stochastic ( ) Stochastic The differences between EN-15273:2013 and the Monte Carlo simulations are: The simulation is based on the real situation and not according to the reference data described in the standard; Only displacements in the transverse direction and not in vertical direction are included; Description of the profile for interoperable pantograph head according to EN 50367:2012. 61/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The pantograph head with a length of 1600 mm is described in Annex A.2.1 of EN 50367:2012. In the simulation the profile of the pantograph is simplified according to the blue line in Figure 39. The end horn is only described with a straight line with an angle of 30 degrees. For a 1950 mm pantograph the same method to describe the profile of the 1600 mm pantograph is used. Figure 39 : Simplification of pantograph profile For the BR185 only the place of the pantograph with the largest transverse displacement is taken. So, the simulations are carried out for a value of ni=0.5; Displacement charge and displacement suspension is taken zero because the vehicles are not wagons but highly balances traction units or vehicles with self-levelling air suspension; The vehicles are no tilting vehicles; The wind aspect isn’t included in the simulation: Side wind on the vehicle has a positive effect on the position of the pantograph with respect to the contact wire. But because the side wind on a train can be blocked by another train or by sound barriers for example, the side wind on the train has not been considered. This results in a conservative calculation of the position of the pantograph with respect to the contact wire; In EN-15273:2013 always a maximum value is taken for the transverse clearance of wheel sets on the track, the transverse clearance between wheel set and bogie and the transverse clearance between the body and bogie. This isn’t correct. These parameters depend on the cant excess or cant deficiency (includes the radius of the curve of the rails) and the speed of the vehicle. According to the standard the maximum value of the lateral play has to be taken from W i to Wa (Qi and Qa for lateral play between wheelset and bogie frame). In the Monte Carlo simulation a normal distribution has been used around an offset value. This is more like reality as will be explained. In a curve with cant the vehicle at stand still leans to the inside of the curve with a certain displacement to the right in the lateral play. On top if this constant displacement at low speeds there will be small oscillations of the car body due to track irregularities. This results in the narrow normal distribution towards Wi as shown to the right in the figure. At maximum speed the vehicle will lean to the outside of the curve with a certain displacement to the left in the lateral play. On top if this constant displacement at high speeds there will be large oscillations of the car body due to track irregularities. This results in the wide normal distribution towards Wa as shown to the right in the figure. 62/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 v=vmax Wa v≈0 0 Wi Figure 40 Deterministic value combined with stochastic behaviour The effect of track gauge widening in tight curves has been taken from the information provided by Belgium, see Table 26. Table 26 : Track gauge widening in tight curves Curve radius R [m] Track gauge widening [mm] Track gauge [mm] > 300 250 225 200 175 150 0 10 10 15 15 15 1435 1445 1445 1450 1450 1450 The track play has a deterministic part and a stochastic part. They depend on the information provided for the track width. At very low speeds the wheelset will run against the inner rail (deterministic) with a stochastic component on the track width. At high speeds the front wheelset of the bogies will run against the outer rail (deterministic) with a stochastic component on the track width. The position of the second axle of the bogies is according to the EN15273:2013. After calculating the 50.001 possible positions of the pantograph in relation to the track, for each position is calculated is the contact wire is still on the pantograph or not. The amount of positions (of the 50.001) that are not on the pantograph reflect the probability of a dewirement. “On the pantograph” is divided in 3 definitions: 1. On the conducting (electrical guiding) zone, no dewirement; 2. On the safe zone, without electrical guiding on insulated end horns. No dewirement; 3. Out of the safe zone, beyond the “point of no return”. The contact wire is considered not to return to the safe zone, a dewirement is inevitable. 63/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The probabilities will be calculated for leaving zone 1 and for leaving zone 2. 4. Vehicle input data Data for the following trains have been provided by DB Netz and Infrabel. They can be grouped in locomotives, high speed trains and a commuter train: TGV-POS (Alstom) ICE-3 (Siemens) BR185 (Bombardier TRAXX) HLE 18 (Siemens Vectron) BR423 (Alstom/Bombardier) high speed high speed locomotive locomotive commuter train The data provide information on clearances, roll coefficient, tolerances, and sway characteristics of the pantographs of these vehicles. See table 27. 64/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 27 : vehicle characteristics UIC 185 ICE 3 TGV POS 423 HLE 18 HLE 18 Cargo R&T SNCF Regio NMBS NMBS Pantograph REF vehicle DSA 200.08 DSA 380 D Cx DSA 200 Melecs SBS 2T 3kV Melecs SBS 2T 25kV Speed - 140 330 320 140 200 200 a Distance wheelsets 19 10.44 17.375 14 15.46 9.90 9.90 p Bogie wheelbase 2.7 2.6 2.5 3 2.7 3.0 3.0 1.41 1.41 1.416 1.41 1.41 1.41 1.41 0.005 0.003 0.0083 0.003 0.007 0.005 0.005 d q Dimension over wheel flanges Traverse clearance wheelset/bogie s Flexibility coefficient 0.225 0.122 0.22 0.2 0.225 0.17 0.17 hc Roll center height 0.5 0.864 0.7 1.08 0.6 0.922 0.922 4.005 4.07 4.06 3.885 4.078 4.086 4.086 0.975 0.975 0.975 0.975 0.975 0.800 0.03 0.03 0.03 0.027 0.03 0.026 0.026 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.005 0.004 0.004 0.002 0.004 0.001 0.001 - 0 - - -0.7 - - - 0.5 0.3 0.4445 - 0.849 0.852 0.0325 0.044 0.05 0.07 0.05 0.055 0.055 ht bw t Tau Theta na ni w°° Installation height lower pantograph joint Semi-width of the pantograph head Flexibility index of the pantograph head Pantograph construction and installation tolerance Angle resulting from suspension adjustment tolerances Distance from the section outside the axles or bogie centers to the adjacent end axle or closed pivot Distance from the section between the axles or bogie centers to the adjacent end axle or closed pivot Transverse clearance bogie/body The values of these data differ from the “UIC vehicle” which is normally used in the standard. This is because this UIC vehicle contains limit values only and not the values from a real train. The vehicles have been simulated at standstill and at maximum speed as these are the two extremes. 5. Track input data The tracks of investigation are related to the OCLs of investigation. This is because for example a track for 300 km/h is not equipped with a OCL for 100 km/h. And the track of 100 km/h has different build and 65/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 maintenance tolerances than the track of 300 km/h. Therefore tracks and OCLs may not be mixed but have to be handled as a pair. 6. OCL input data Simulations have been carried out for the trains under the following OCL types: Germany Infrabel Poland Poland Re100-Re160 Cn-107 OCL 2C120-2C-3 YC150-2CS150 For every combination of curve radius and cant the maximum contact wire position due to blow off (result of ANA_1) is input for the Monte Carlo simulation. For these same combinations of curve radius and cant the 50.001 positions of the pantographs have been calculated by means of a Monte Carlo simulation. Two stagger values have been considered: 1. Current situation without modification of the stagger; 2. Adapted situation optimized for Euro-pantograph with adjusted stagger. 66/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 B. Pan sway limit exceedance probability build-up For each combination of OCL type with track, vehicle, wind speed, train speed, curve, cant a Monte Carlo simulation has been carried out. This results in more than 5000 Monte Carlo simulations. For each simulation must be judged if the contact wire stays within the working and/or the safe zone of the pantograph. To illustrate this process the following figure is made. Panto in center position wire position max right wire position max left Panto in max position to the right, contact wire to the left Panto in max position to the left, contact wire to the right Distribution of the position of the center of the panto head Distribution of the position of the left end of the panto head Unsafe zone for contact wire Distribution of the position of the right end of the panto head Safe zone for contact wire Conducting zone for contact wire Safe zone for contact wire Unsafe zone for contact wire Figure 41 Assessment of the contact wire position in respect to the conducting range of the pantograph The following explains the figure: In the profile of the pantograph is a kink at 800 mm width, the end of conducting zone (solid line) is at 1200 mm width, the end of dotted line is the end of the pantograph and the line between these points is the end of the safe zone at 1453 mm width; The black dots in the top 3 figures is the contact wire in its extreme left and right positions; The blue dots in the middle of the pantograph profile are the 50.001 lateral positions of the pantograph as calculated by the Monte Carlo simulation. The blue distribution in the bottom figure is the distribution of these lateral positions of the center of the pantograph. The green (partly red) distributions are the lateral positions of the end of the conducting zone of the pantograph head. The cyan pantograph in drawn in the extreme right position, the magenta pantograph in extreme left position. These extreme positions of the center of the pantograph have been marked with a red circle. 67/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 In the green circle, the right end of the (magenta) pantograph head stays to the right of the right maximum position of the contact wire. Therefore the contact wire does not come out of the conducting zone of the pantograph. The probability function is marked completely green for that reason. In the red circle, the left end of the pantograph head is not always to the left of the left maximum position of the contact wire. Therefore there is a probability that the contact wire comes out of the conducting zone. For the situations where this is the case, the probabilities are marked red. For each simulation the probability has been calculated if the contact wire leaves the conducting zone (1200/1550 mm for a 1600/1950 mm pantograph) and if there is a dewirement (out of the safe zone, 1453/1900 mm for a 1600/1950 mm pantograph). In this report only one illustration of this judgment process has been given above. It would be too much to provide more than 5000 figures, one for each run. The important information from these figures is the probability of the contact wire leaving the working and/or safe zone. These probabilities have been gathered in tables. These tables will be discussed in the next chapter. This calculated probability is only valid for the situation that has been calculated and is the basis for the calculation that a dewirement would occur at a certain location. To calculate how often a dewirement will occur on a certain railway line or location on a line, the probabilities provided in this study will have to be multiplied with the following probabilities: The probability that a pantograph of that type will be at that exact location or near it (precise definitions of locations needed; see bibliography (1)); The probability that the specified wind speed will occur at that location; The probability that the wind gust will be about perpendicular to the track. C. Results and discussion For each country the results of the Monte Carlo simulations are described. The results of the simulations are given in the tables in this chapter. Each row are specific situations of the infrastructure and are defined by the cant(h), maximum speed (V) and radius (R) of the track and the stagger of the wire (e1 and e2), the distance between the portals (a) and the maximum displacement of the wire inside (e_i) and outside (e_a) of the curve. The following columns present the changes of the dewirement of a specific situation. The results are given in 6 large boxes according to the conducting zone of a 1600 mm or a 1950 mm pantograph: The conducting zone (1200 mm) of a 1600 mm pantograph; The safe zone (1453 mm) of a 1600 mm pantograph; The conducting zone (1550 mm) of a 1950 mm pantograph; The safe zone (1900 mm) of a 1950 mm pantograph. Each large box contains six columns which correspond to the type of trains. All the probabilities which are shown, are high-lighted. If the probability is zero, no dewirement, the box of this probability is green. A probability higher than zero is colored from yellow to red which correspond with a change of zero (no dewirement) to one (always a dewirement). Between these two colors a linear color range is used. 68/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 1. Belgium The maximum value of dewirement for the infrastructure of Belgium according to the current standard is 0,00194. This value is equal to 97 simulations of 50001 monte carlo simulation for one situation. CM107 wind = 26.8m/s zbw = 4cm Nr. 47 48 49 50 51 52 53 54 V h [km/h] [mm] 60 22 60 65 60 152 60 89 60 94 60 160 60 145 60 160 R [m] 280 280 280 195 195 195 155 155 e1 [cm] -36 -31 -20 -29 -28 -19 -21 -19 e2 [cm] -36 -31 -20 -29 -28 -19 -21 -19 a e_i [m] [cm] 35 27.3 35 32.3 35 43.3 28 26.6 28 27.6 28 36.6 21 17.5 21 19.5 e_a [cm] -36.0 -31.0 -20.0 -29.0 -28.0 -19.0 -21.0 -19.0 probability panthograph (1200) loses contact with wire V=max 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00004 0.00000 0.00194 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00006 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 69/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The following table shows all the results of the situation according to the standards of Belgium. CM107 wind = 26.8m/s zbw = 4cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 [km/h] [mm] 160 0 160 22 160 65 160 152 160 84 160 92 160 160 160 138 160 160 120 0 120 51 120 118 120 27 120 67 120 157 120 73 120 87 120 160 120 141 120 160 90 0 90 33 90 76 90 0 90 45 90 104 90 0 90 61 90 143 90 32 90 82 90 160 90 140 90 160 60 0 60 16 60 37 60 0 60 24 60 55 60 0 60 33 60 76 60 0 60 46 60 107 60 22 60 65 60 152 60 89 60 94 60 160 60 145 60 160 [m] inf 2000 2000 2000 1420 1420 1420 1130 1130 1450 1450 1450 1090 1090 1090 840 840 840 630 630 1270 1270 1270 920 920 920 670 670 670 500 500 500 355 355 1140 1140 1140 780 780 780 560 560 560 400 400 400 280 280 280 195 195 195 155 155 [cm] -20 -31 -26 -15 -29 -28 -19 -22 -19 -39 -33 -25 -36 -31 -20 -30 -29 -19 -21 -19 -39 -35 -30 -39 -34 -26 -39 -31 -21 -35 -29 -19 -21 -19 -39 -38 -35 -39 -36 -32 -39 -35 -30 -39 -34 -26 -36 -31 -20 -29 -28 -19 -21 -19 [cm] 20 -31 -26 -15 -29 -28 -19 -22 -19 -39 -33 -25 -36 -31 -20 -30 -29 -19 -21 -19 -39 -35 -30 -39 -34 -26 -39 -31 -21 -35 -29 -19 -21 -19 -39 -38 -35 -39 -36 -32 -39 -35 -30 -39 -34 -26 -36 -31 -20 -29 -28 -19 -21 -19 [m] [cm] 63 31.7 63 22.0 63 27.0 63 38.0 56 20.9 56 21.9 56 30.9 49 21.7 49 24.7 63 23.3 63 29.4 63 37.4 56 22.3 56 27.3 56 38.3 49 22.8 49 23.8 49 33.8 42 18.5 42 28.5 63 28.3 63 32.3 63 37.3 56 25.9 56 30.9 56 38.9 49 22.9 49 30.9 49 40.9 42 21.6 42 27.6 42 37.6 35 30.7 35 32.7 63 32.7 63 33.7 63 36.7 55.8 33.6 55.8 36.6 55.8 40.6 49 31.7 49 35.7 49 40.7 42 28.6 42 33.6 42 41.6 35 27.3 35 32.3 35 43.3 28 26.6 28 27.6 28 36.6 21 17.5 21 19.5 [cm] -31.7 -34.4 -29.4 -18.4 -29.0 -28.0 -19.0 -22.0 -19.0 -39.0 -33.0 -25.0 -36.0 -31.0 -20.0 -30.0 -29.0 -19.0 -21.0 -19.0 -39.0 -35.0 -30.0 -39.0 -34.0 -26.0 -39.0 -31.0 -21.0 -35.0 -29.0 -19.0 -21.0 -19.0 -39.0 -38.0 -35.0 -39.0 -36.0 -32.0 -39.0 -35.0 -30.0 -39.0 -34.0 -26.0 -36.0 -31.0 -20.0 -29.0 -28.0 -19.0 -21.0 -19.0 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 70/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Optimization of the position of the stagger gives the following results: The maximum value of dewirement for the optimized infrastructure of Belgium is 0,00014. This value is equal to 7 simulations of 50001 monte carlo simulation for one situation. All the simulated situations of the infrastructure are the same as the situations of the infrastructure of Belgium according to the current standards. The values of the probabilitys are comparable. CM107 wind = 26.8m/s zbw = 4cm Nr. 46 47 48 49 50 51 52 53 54 V h [km/h] [mm] 60 107 60 22 60 65 60 152 60 89 60 94 60 160 60 145 60 160 R [m] 400 280 280 280 195 195 195 155 155 e1 [cm] -34 -30 -32 -34 -26 -26 -31 -20 -21 e2 [cm] -34 -30 -32 -34 -26 -26 -31 -20 -21 a e_i [m] [cm] 42 33.6 35 33.3 35 31.3 35 29.3 28 29.6 28 29.6 28 24.6 21 18.5 21 17.5 e_a [cm] -34.0 -30.0 -32.0 -34.0 -26.0 -26.0 -31.0 -20.0 -21.0 probability panthograph (1200) loses contact with wire V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00014 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 71/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The following table shows all the results of the optimized situation of Belgium. CM107 wind = 26.8m/s zbw = 4cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 [km/h] [mm] 160 0 160 22 160 65 160 152 160 84 160 92 160 160 160 138 160 160 120 0 120 51 120 118 120 27 120 67 120 157 120 73 120 87 120 160 120 141 120 160 90 0 90 33 90 76 90 0 90 45 90 104 90 0 90 61 90 143 90 32 90 82 90 160 90 140 90 160 60 0 60 16 60 37 60 0 60 24 60 55 60 0 60 33 60 76 60 0 60 46 60 107 60 22 60 65 60 152 60 89 60 94 60 160 60 145 60 160 [m] NaN 2000 2000 2000 1420 1420 1420 1130 1130 1450 1450 1450 1090 1090 1090 840 840 840 630 630 1270 1270 1270 920 920 920 670 670 670 500 500 500 355 355 1140 1140 1140 780 780 780 560 560 560 400 400 400 280 280 280 195 195 195 155 155 [cm] -20 -24 -25 -27 -24 -24 -27 -22 -23 -32 -31 -32 -28 -29 -31 -25 -26 -28 -20 -26 -36 -34 -34 -32 -32 -33 -30 -31 -32 -26 -28 -30 -26 -27 -36 -36 -36 -36 -36 -36 -35 -35 -35 -33 -34 -34 -30 -32 -34 -26 -26 -31 -20 -21 [cm] 20 -24 -25 -27 -24 -24 -27 -22 -23 -32 -31 -32 -28 -29 -31 -25 -26 -28 -20 -26 -36 -34 -34 -32 -32 -33 -30 -31 -32 -26 -28 -30 -26 -27 -36 -36 -36 -36 -36 -36 -35 -35 -35 -33 -34 -34 -30 -32 -34 -26 -26 -31 -20 -21 [m] [cm] 63 31.7 63 29.0 63 28.0 63 26.0 56 25.9 56 25.9 56 22.9 49 21.7 49 20.7 63 30.3 63 31.4 63 30.4 56 30.3 56 29.3 56 27.3 49 27.8 49 26.8 49 24.8 42 19.5 42 21.5 63 31.3 63 33.3 63 33.3 56 32.9 56 32.9 56 31.9 49 31.9 49 30.9 49 29.9 42 30.6 42 28.6 42 26.6 35 25.7 35 24.7 63 35.7 63 35.7 63 35.7 55.8 36.6 55.8 36.6 55.8 36.6 49 35.7 49 35.7 49 35.7 42 34.6 42 33.6 42 33.6 35 33.3 35 31.3 35 29.3 28 29.6 28 29.6 28 24.6 21 18.5 21 17.5 [cm] -31.7 -27.4 -28.4 -30.4 -24.0 -24.0 -27.0 -22.0 -23.0 -32.0 -31.0 -32.0 -28.0 -29.0 -31.0 -25.0 -26.0 -28.0 -20.0 -26.0 -36.0 -34.0 -34.0 -32.0 -32.0 -33.0 -30.0 -31.0 -32.0 -26.0 -28.0 -30.0 -26.0 -27.0 -36.0 -36.0 -36.0 -36.0 -36.0 -36.0 -35.0 -35.0 -35.0 -33.0 -34.0 -34.0 -30.0 -32.0 -34.0 -26.0 -26.0 -31.0 -20.0 -21.0 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 72/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Conclusion Belgium Optimisation of the position of the stagger will lead to improved wire positions and slightly lower probabilities for leaving the conducting/working range of the 1600 mm pantograph. In reality this is already the case as the optimized rules reflect current installation better than the provided information from table 5 above. If the 1200 mm conducting zone of the EP is enlarged to 1435 mm by including a part of the insulating end horns of the pantograph, the dewirement probability becomes zero for the situation according to the current standards and the optimized rules. 2. Poland The maximum value of dewirement for the current infrastructure of Poland is 0,98952. This value is equal to 49477 simulations of 50001 monte carlo simulation for one situation. YC150-2CS150 zbw = 6cm wind = 32.9m/s Nr. 1 2 3 4 5 6 7 V h R [km/h] [mm] [m] 200 0 inf 200 0 20000 200 10 20000 200 0 10000 200 20 10000 200 0 5000 200 41 5000 e1 [cm] -30 -30 -30 -30 -30 -30 -30 e2 [cm] 30 30 30 30 30 30 30 a [m] 66.0 66.0 66.0 66.0 66.0 65.2 65.2 e_i [m] 0.407 0.429 0.429 0.452 0.452 0.500 0.500 e_a [m] -0.407 -0.385 -0.385 -0.365 -0.365 -0.329 -0.329 probability panthograph (1200) loses contact with wire V=max 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00102 0.00004 0.00000 0.00000 0.00000 0.00000 0.00054 0.00004 0.00000 0.00000 0.00000 0.00006 0.10322 0.01896 0.00266 0.00642 0.00578 0.00000 0.03744 0.00668 0.00036 0.00190 0.00162 0.30557 0.98952 0.92190 0.72945 0.88906 0.88894 0.12450 0.89712 0.72465 0.28139 0.64369 0.64439 This extremely high probability of dewirement with the EP in a 5000m curve with existing stagger values and at maximum speed might be due to the fact that de supposed zigzag, deduced from the information provided by PKP, does not correspond to the actually installed zigzag on the network. From the table below a comparable high probability emerges in a 3000m curve at standstill, but probabilities remain far lower or are even zero in smaller curves and straight lines. Generally the OCL layout problem in these large curves can be described as follows: neither a symmetrically alternating stagger, nor a constant stagger outside curve is an optimal solution. PKP applies a constant stagger outside curve for curves up till 2000m as indicated in figure 42 below. For larger curves it is not clear which rules are being applied currently. 73/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Figure 42: maximum authorized span lengths in curves above: OCL type 2C120-2C-3 with stagger of 40cm (-20/+20 in straight lines) below: OCL type YC150-2CS150 with stagger of 30 or 40cm (-30/+30 in straight lines) 74/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The following table shows all the results of the current situation of Poland. YC150-2CS150 zbw = 6cm wind = 32.9m/s V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 [km/h] 200 200 200 200 200 200 200 200 200 200 200 200 200 200 160 160 160 140 140 140 120 120 120 60 60 60 [mm] 0 0 10 0 20 0 41 95 8 68 150 99 107 150 83 100 150 82 99 150 94 105 150 0 61 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 1900 1900 1900 1300 1300 1300 1000 1000 1000 700 700 700 300 300 300 [cm] -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [cm] 30 30 30 30 30 30 30 30 -30 -30 -30 -30 -30 -30 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [m] 66.0 66.0 66.0 66.0 66.0 65.2 65.2 65.2 66.0 66.0 66.0 66.0 66.0 66.0 64.0 64.0 64.0 57.0 57.0 57.0 47.0 47.0 47.0 31.0 31.0 31.0 [m] 0.407 0.429 0.429 0.452 0.452 0.500 0.500 0.500 0.222 0.222 0.222 0.327 0.327 0.327 0.314 0.314 0.314 0.258 0.258 0.258 0.164 0.164 0.164 0.073 0.073 0.073 [m] -0.407 -0.385 -0.385 -0.365 -0.365 -0.329 -0.329 -0.329 -0.459 -0.459 -0.459 -0.354 -0.354 -0.354 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00102 0.00004 0.00000 0.00000 0.00000 0.00000 0.00054 0.00004 0.00000 0.00000 0.00000 0.00006 0.10322 0.01896 0.00266 0.00642 0.00578 0.00000 0.03744 0.00668 0.00036 0.00190 0.00162 0.30557 0.98952 0.92190 0.72945 0.88906 0.88894 0.12450 0.89712 0.72465 0.28139 0.64369 0.64439 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00128 0.00000 0.00000 0.02212 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00106 0.00014 0.00000 0.00000 0.00004 0.00054 0.09018 0.01328 0.00936 0.00586 0.00572 0.02784 0.86062 0.41619 0.60747 0.28509 0.28283 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00010 0.00000 0.00000 0.00000 0.00000 0.00000 0.00904 0.00004 0.00024 0.00000 0.00000 0.00000 0.00004 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00974 0.00004 0.00014 0.00000 0.00004 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00012 0.00000 0.00000 0.00000 0.00000 0.00000 0.01208 0.00008 0.00014 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00966 0.00010 0.00000 0.00014 0.00012 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.03128 0.00310 0.00020 0.00016 0.00024 0.00000 0.00710 0.00058 0.00000 0.00000 0.00004 0.10460 0.98462 0.87730 0.46689 0.69441 0.69513 0.00000 0.82862 0.56947 0.00000 0.29803 0.30489 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 2C120-2C-3 zbw = 6cm wind = 32.9m/s V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 [km/h] 220 220 220 220 220 220 220 220 220 220 220 220 220 160 160 160 140 140 140 120 120 120 60 60 60 [mm] 0 0 12 0 24 0 49 115 41 82 150 137 150 83 100 150 82 99 150 94 105 150 0 61 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 2000 2000 1300 1300 1300 1000 1000 1000 700 700 700 300 300 300 [cm] -20 -20 -20 -20 -20 -20 -20 -20 -20 -20 -20 -30 -30 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [cm] 20 20 20 20 20 20 20 20 -20 -20 -20 -30 -30 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [m] 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 64.0 64.0 64.0 57.0 57.0 57.0 47.0 47.0 47.0 31.0 31.0 31.0 [m] 0.385 0.410 0.410 0.436 0.436 0.487 0.487 0.487 0.339 0.339 0.339 0.329 0.329 0.330 0.330 0.330 0.275 0.275 0.275 0.229 0.229 0.229 0.082 0.082 0.082 [m] -0.385 -0.360 -0.360 -0.336 -0.336 -0.288 -0.288 -0.288 -0.376 -0.376 -0.376 -0.385 -0.385 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 -0.40 75/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Optimization of the position of the stagger gives the following results: The maximum value of dewirement for the optimized infrastructure of Poland is 0,00224. This value is equal to 112 simulations of 50001 monte carlo simulation for one situation. All the simulated situations of the infrastructure are the same as the situations of the current infrastructure of Poland. The values of the probabilitys are comparable. YC150-2CS150 wind = 32.9m/s zbw = 6cm Nr. 1 2 3 4 5 6 7 8 9 10 11 12 V h R [km/h] [mm] [m] 200 0 inf 200 0 20000 200 10 20000 200 0 10000 200 20 10000 200 0 5000 200 41 5000 200 95 5000 200 8 3000 200 68 3000 200 150 3000 200 99 1900 e1 [cm] -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 e2 [cm] 30 30 30 20 25 10 15 20 -10 0 10 -30 a [m] 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 e_i [m] 0.407 0.429 0.429 0.385 0.418 0.372 0.403 0.434 0.327 0.383 0.441 0.327 e_a [m] -0.407 -0.385 -0.385 -0.391 -0.377 -0.375 -0.361 -0.349 -0.375 -0.345 -0.322 -0.354 probability panthograph (1200) loses contact with wire V=max 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00122 0.00002 0.00000 0.00000 0.00000 0.00000 0.00046 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00008 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00014 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00010 0.00000 0.00000 0.00000 0.00000 0.00000 0.00224 0.00022 0.00000 0.00002 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 76/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The following table shows all the results of the optimized situation of Poland. YC150-2CS150 wind = 32.9m/s zbw = 6cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 [km/h] 200 200 200 200 200 200 200 200 200 200 200 200 200 200 160 160 160 140 140 140 120 120 120 60 60 60 [mm] 0 0 10 0 20 0 41 95 8 68 150 99 107 150 83 100 150 82 99 150 94 105 150 0 61 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 1900 1900 1900 1300 1300 1300 1000 1000 1000 700 700 700 300 300 300 [cm] -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -30 -29 -38 -37 -34 -37 -36 -32 -33 -32 -29 -37 -32 -27 [cm] 30 30 30 20 25 10 15 20 -10 0 10 -30 -30 -29 -38 -37 -34 -37 -36 -32 -33 -32 -29 -37 -32 -27 [m] 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 63.1 63.2 63.0 58.5 58.6 58.4 49.2 49.1 49.2 35.9 35.7 36.0 [m] 0.407 0.429 0.429 0.385 0.418 0.372 0.403 0.434 0.327 0.383 0.441 0.327 0.327 0.337 0.334 0.344 0.374 0.288 0.298 0.338 0.234 0.244 0.274 0.108 0.158 0.208 [m] -0.407 -0.385 -0.385 -0.391 -0.377 -0.375 -0.361 -0.349 -0.375 -0.345 -0.322 -0.354 -0.354 -0.344 -0.38 -0.37 -0.34 -0.370 -0.360 -0.320 -0.330 -0.320 -0.290 -0.370 -0.320 -0.270 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00122 0.00002 0.00000 0.00000 0.00000 0.00000 0.00046 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00008 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00014 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00010 0.00000 0.00000 0.00000 0.00000 0.00000 0.00224 0.00022 0.00000 0.00002 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00006 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00038 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00006 0.00000 0.00000 0.00000 0.00000 0.00000 0.00008 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00010 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 2C120-2C-3 wind = 32.9m/s zbw = 6cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 [km/h] 220 220 220 220 220 220 220 220 220 220 220 220 220 160 160 160 140 140 140 120 120 120 60 60 60 [mm] 0 0 12 0 24 0 49 115 41 82 150 137 150 83 100 150 82 99 150 94 105 150 0 61 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 2000 2000 1300 1300 1300 1000 1000 1000 700 700 700 300 300 300 [cm] -20 -20 -20 -20 -20 -30 -30 -25 -30 -30 -25 -28 -27 -39 -38 -34 -37 -36 -32 -33 -32 -29 -37 -32 -27 [cm] 20 20 20 15 15 5 5 10 -15 -10 -5 -28 -27 -39 -38 -34 -37 -36 -32 -33 -32 -29 -37 -32 -27 [m] 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 65.0 64.9 62.3 62.4 62.3 57.8 57.9 57.7 48.6 48.5 48.6 35.6 35.4 35.7 [m] 0.385 0.410 0.410 0.405 0.405 0.357 0.357 0.407 0.316 0.343 0.393 0.349 0.359 0.340 0.350 0.390 0.305 0.315 0.355 0.249 0.259 0.289 0.112 0.162 0.212 [m] -0.385 -0.360 -0.360 -0.353 -0.353 -0.404 -0.404 -0.354 -0.409 -0.390 -0.340 -0.365 -0.355 -0.390 -0.380 -0.340 -0.370 -0.360 -0.320 -0.330 -0.320 -0.290 -0.370 -0.320 -0.270 77/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Results Poland: By optimising the stagger in curves, the dewirement probability becomes very close to zero for the 1600 mm pantograph with a conducting zone of 1200 mm. The ICE train sets have the highest probability of leaving the conducting/working range of the EP. If the 1200 mm conducting zone of the EP is enlarged to 1435 mm by including a part of the insulating end horns of the pantograph, the dewirement probability becomes zero for the optimized situation. 3. Germany The maximum value of dewirement for the current infrastructure of Germany is 1. This value is equal to all the simulations of 50001 monte carlo simulation for one situation. Re100-Re160 wind = 29.8m/s zbw = 2.5cm Nr. 1 2 3 4 5 6 7 8 9 10 11 12 V h R [km/h] [mm] [m] 160 0 inf 160 0 20000 160 15 20000 160 0 10000 160 30 10000 160 0 5000 160 33 5000 160 61 5000 160 0 3000 160 55 3000 160 101 3000 160 67 1400 e1 [cm] -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 e2 [cm] 40 40 40 32 32 31 31 31 -16 -16 -16 -40 a [m] 76 76 76 76 76 76 76 76 76 76 76 76 e_i [m] 0.543 0.568 0.568 0.539 0.539 0.545 0.545 0.545 0.384 0.384 0.384 0.492 e_a [m] -0.543 -0.519 -0.519 -0.516 -0.516 -0.454 -0.454 -0.454 -0.545 -0.545 -0.545 -0.417 probability panthograph (1200) loses contact with wire V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.24038 0.23318 0.21386 0.20664 0.21120 0.21610 0.35247 0.45099 0.39347 0.47347 0.38451 0.38295 0.58701 0.86950 0.80252 0.59679 0.73921 0.74165 0.01954 0.04158 0.02200 0.04680 0.02024 0.01978 0.61123 0.91438 0.84880 0.69213 0.79352 0.79680 0.02954 0.06678 0.03852 0.08582 0.03480 0.03408 0.00012 0.01514 0.00236 0.00086 0.00070 0.00080 0.00078 0.08690 0.01552 0.01104 0.00730 0.00616 0.27693 0.22648 0.24022 0.15666 0.25291 0.25371 0.99600 0.99990 0.99962 0.99820 0.99960 0.99962 0.99958 1.00000 1.00000 1.00000 1.00000 0.99998 0.00000 0.00040 0.00000 0.00000 0.00000 0.00000 78/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The following table shows all the results of the current situation of Germany. In some cases, there is a small probability of leaving the 1450mm working range of the 1950 mm pantograph, but there is none for the 1550 mm conducting range. Re100-Re160 wind = 26m/s zbw = 2.5cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 [km/h] 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 120 120 120 100 100 100 100 100 100 100 100 100 100 100 100 60 60 60 [mm] 0 0 15 0 30 0 33 61 0 43 101 10 69 160 153 160 94 105 160 0 17 40 0 27 60 0 51 119 9 72 160 0 61 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 1900 1900 1900 1000 1000 700 700 700 3000 3000 3000 1900 1900 1900 1000 1000 1000 700 700 700 300 300 300 [cm] -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [cm] 40 40 40 30 30 -12 -12 -12 -31 -31 -31 -40 -40 -40 -40 -40 -40 -40 -40 -31 -31 -31 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [m] 80 80 80 80 80 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 [m] 0.536 0.569 0.569 0.535 0.535 0.298 0.298 0.298 0.359 0.359 0.359 0.468 0.468 0.468 0.479 0.479 0.488 0.488 0.515 0.359 0.359 0.359 0.468 0.468 0.468 0.487 0.527 0.580 0.488 0.503 0.573 0.479 0.505 0.564 [m] -0.536 -0.505 -0.505 -0.500 -0.500 -0.540 -0.540 -0.540 -0.538 -0.538 -0.538 -0.426 -0.426 -0.426 -0.400 -0.400 -0.400 -0.400 -0.400 -0.538 -0.538 -0.538 -0.426 -0.426 -0.426 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.21876 0.32313 0.31305 0.20912 0.25089 0.25631 0.99972 1.00000 1.00000 0.99996 0.99998 1.00000 0.21806 0.99996 0.99992 0.20348 0.99988 0.99992 0.95722 0.99790 0.99332 0.98880 0.99194 0.99110 0.15610 0.98374 0.96836 0.14488 0.96342 0.96298 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.92344 0.94826 0.93790 0.89774 0.92960 0.93190 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.93346 0.00000 0.00000 0.91900 0.00000 0.00000 0.17542 0.99052 0.88096 0.90198 0.81402 0.81724 0.03172 0.82744 0.50177 0.34589 0.37717 0.37459 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.18670 0.99788 0.95054 0.86578 0.91932 0.91966 0.15932 0.99648 0.93542 0.81712 0.89358 0.89554 0.73793 0.99972 0.97892 0.99992 0.96206 0.96294 0.67955 0.99848 0.96608 0.99964 0.94000 0.93942 0.88858 0.99862 0.98538 0.99976 0.97670 0.97604 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.87420 0.94170 0.93176 0.77414 0.92306 0.92524 0.04402 0.59297 0.28723 0.45143 0.18552 0.18530 0.01714 0.33801 0.13894 0.18324 0.07244 0.07330 0.00452 0.11174 0.03988 0.03356 0.01658 0.01634 0.57055 0.99368 0.92732 0.99628 0.88524 0.88462 0.95862 0.99948 0.99502 0.99970 0.99312 0.99334 0.02370 0.01048 0.01126 0.11610 0.01016 0.01010 0.78974 0.99982 0.98762 0.99998 0.97766 0.97746 0.76374 0.99626 0.96438 0.99906 0.94176 0.94128 0.99978 0.99996 0.99994 0.99998 0.99988 0.99998 0.35745 0.97098 0.67803 0.99990 0.71657 0.71615 0.58545 0.95378 0.74239 0.99968 0.79468 0.79112 0.99290 0.99662 0.99064 1.00000 0.99418 0.99472 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.11870 0.11686 0.10144 0.09774 0.10280 0.09964 0.36095 0.45587 0.40533 0.48943 0.39369 0.39723 0.24762 0.61483 0.48507 0.27793 0.39305 0.39123 0.00656 0.02054 0.00826 0.02322 0.00742 0.00758 0.22820 0.67317 0.50807 0.32487 0.41437 0.41485 0.16806 0.13620 0.14332 0.09554 0.14684 0.14842 0.97078 0.99788 0.99592 0.97560 0.99270 0.99322 0.99068 0.99982 0.99946 0.99824 0.99900 0.99884 0.15134 0.12276 0.13208 0.07770 0.13602 0.13370 0.97666 0.99902 0.99782 0.98456 0.99644 0.99608 0.99838 1.00000 0.99996 0.99996 0.99998 0.99994 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00340 0.00022 0.00004 0.00004 0.00000 0.00040 0.46523 0.06584 0.16158 0.02810 0.02878 0.00000 0.04268 0.00062 0.00162 0.00012 0.00018 0.00000 0.06570 0.00114 0.00338 0.00024 0.00032 0.00000 0.00040 0.00000 0.00000 0.00000 0.00000 0.00000 0.00138 0.00004 0.00000 0.00000 0.00000 0.00000 0.07790 0.00182 0.00224 0.00050 0.00058 0.15086 0.12302 0.13014 0.07518 0.13206 0.13514 0.94202 0.99022 0.98618 0.91008 0.97948 0.97866 0.97302 0.99828 0.99664 0.98110 0.99522 0.99542 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00004 0.00000 0.00000 0.00000 0.00000 0.00000 0.00158 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00004 0.00398 0.00004 0.00002 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.07626 0.00130 0.00194 0.00040 0.00048 0.00000 0.00000 0.00000 0.00004 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.03852 0.00096 0.00002 0.00078 0.00100 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.01612 0.00308 0.00090 0.00094 0.00072 0.00000 0.00642 0.00104 0.00000 0.00018 0.00024 0.00000 0.00024 0.00000 0.00000 0.00000 0.00000 0.00000 0.00004 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00010 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00038 0.00000 0.00000 0.00000 0.00000 0.00000 0.00014 0.00000 0.00000 0.00000 0.00000 0.00000 0.00118 0.00000 0.00098 0.00000 0.00000 0.00000 0.00048 0.00000 0.00018 0.00000 0.00000 0.00000 0.00030 0.00000 0.00010 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.35215 0.45711 0.44387 0.34385 0.38347 0.38487 0.99982 0.99998 1.00000 0.99994 0.99998 0.99998 0.51447 0.99996 0.99986 0.46579 0.99984 0.99996 0.97518 0.99864 0.99574 0.99404 0.99616 0.99588 0.46611 0.99020 0.98042 0.42141 0.97822 0.97724 0.99532 0.99996 0.99982 0.99986 0.99982 0.99974 0.98458 0.99940 0.99830 0.99502 0.99798 0.99824 0.00010 0.00356 0.00118 0.00044 0.00032 0.00032 0.00000 0.00144 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.97254 0.00000 0.00000 0.96250 0.00000 0.00000 0.59009 0.99978 0.99188 0.98914 0.98702 0.98744 0.28815 0.98874 0.91502 0.79102 0.87736 0.87752 0.11746 0.89796 0.71483 0.36185 0.62413 0.62331 0.52015 0.99986 0.99386 0.97674 0.99024 0.98988 0.47769 0.99976 0.99144 0.96358 0.98484 0.98508 0.75738 0.99932 0.98218 0.99992 0.96786 0.96886 0.53349 0.99008 0.90318 0.99622 0.84660 0.84658 0.37591 0.95228 0.78448 0.97352 0.68499 0.69183 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.94032 0.97330 0.96856 0.86934 0.96760 0.96624 0.50445 0.97388 0.86700 0.96966 0.80966 0.80940 0.24552 0.79046 0.58201 0.71333 0.47507 0.47819 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.74581 0.99792 0.96978 0.99906 0.95154 0.95256 0.36489 0.89828 0.72759 0.89582 0.63333 0.62965 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.45805 0.97756 0.85564 0.98908 0.77780 0.77718 0.33723 0.93050 0.73765 0.95776 0.63283 0.63437 0.07482 0.43911 0.24574 0.42993 0.14984 0.15086 0.41763 0.98096 0.74201 0.99996 0.77370 0.77434 0.08252 0.48369 0.13588 0.94684 0.19884 0.19902 0.00868 0.04000 0.00590 0.42705 0.01506 0.01622 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.24038 0.23318 0.21386 0.20664 0.21120 0.21610 0.35247 0.45099 0.39347 0.47347 0.38451 0.38295 0.58701 0.86950 0.80252 0.59679 0.73921 0.74165 0.01954 0.04158 0.02200 0.04680 0.02024 0.01978 0.61123 0.91438 0.84880 0.69213 0.79352 0.79680 0.02954 0.06678 0.03852 0.08582 0.03480 0.03408 0.00012 0.01514 0.00236 0.00086 0.00070 0.00080 0.00078 0.08690 0.01552 0.01104 0.00730 0.00616 0.27693 0.22648 0.24022 0.15666 0.25291 0.25371 0.99600 0.99990 0.99962 0.99820 0.99960 0.99962 0.99958 1.00000 1.00000 1.00000 1.00000 0.99998 0.00000 0.00040 0.00000 0.00000 0.00000 0.00000 0.00000 0.03986 0.00166 0.00218 0.00038 0.00028 0.00014 0.28913 0.02050 0.05504 0.00812 0.00804 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.27731 0.22230 0.24560 0.15452 0.25255 0.25085 0.98142 0.99824 0.99724 0.97326 0.99548 0.99520 0.99110 0.99960 0.99934 0.99396 0.99886 0.99882 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00316 0.00008 0.00010 0.00002 0.00000 0.00000 0.00002 0.00000 0.00004 0.00000 0.00000 0.00000 0.00004 0.00000 0.00000 0.00000 0.00000 0.00000 0.00314 0.00006 0.00002 0.00002 0.00000 0.00000 0.00008 0.00000 0.00000 0.00000 0.00000 0.00000 0.00038 0.00000 0.00000 0.00000 0.00000 0.00002 0.07772 0.00164 0.00218 0.00054 0.00042 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.00000 0.00014 0.00000 0.00000 0.00000 0.00002 0.00000 0.03774 0.00120 0.00000 0.00088 0.00086 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00004 0.01534 0.00286 0.00074 0.00040 0.00046 0.00000 0.00598 0.00108 0.00000 0.00030 0.00020 0.00000 0.00078 0.00002 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.01464 0.00078 0.00030 0.00014 0.00006 0.00000 0.00120 0.00010 0.00000 0.00000 0.00004 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Re100-Re160 wind = 29.8m/s zbw = 2.5cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 [km/h] 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 120 120 120 100 100 100 100 100 100 100 100 100 100 100 100 60 60 60 [mm] 0 0 15 0 30 0 33 61 0 55 101 67 119 160 153 160 94 134 160 0 22 40 0 46 85 0 65 119 72 93 160 0 78 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 1400 1400 1400 1000 1000 700 700 700 3000 3000 3000 1400 1400 1400 1000 1000 1000 700 700 700 300 300 300 [cm] -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [cm] 40 40 40 32 32 31 31 31 -16 -16 -16 -40 -40 -40 -40 -40 -40 -40 -40 -16 -16 -16 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [m] 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 [m] 0.543 0.568 0.568 0.539 0.539 0.545 0.545 0.545 0.384 0.384 0.384 0.492 0.492 0.492 0.495 0.495 0.489 0.489 0.489 0.384 0.384 0.384 0.492 0.492 0.492 0.495 0.495 0.495 0.489 0.489 0.489 0.482 0.482 0.482 [m] -0.543 -0.519 -0.519 -0.516 -0.516 -0.454 -0.454 -0.454 -0.545 -0.545 -0.545 -0.417 -0.417 -0.417 -0.040 -0.040 -0.040 -0.040 -0.040 -0.545 -0.545 -0.545 -0.417 -0.417 -0.417 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 Re100-Re160 wind = 32.1m/s zbw = 2.5cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 [km/h] 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 120 120 120 100 100 100 100 100 100 100 100 100 100 100 100 60 60 60 [mm] 0 0 15 0 30 0 33 61 0 55 101 67 128 160 153 160 94 134 160 0 22 40 0 50 85 0 65 119 72 93 160 0 78 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 1300 1300 1300 1000 1000 700 700 700 3000 3000 3000 1300 1300 1300 1000 1000 1000 700 700 700 300 300 300 [cm] -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [cm] 40 40 40 33 33 29 29 29 -9 -9 -9 -40 -40 -40 -40 -40 -40 -40 -40 -9 -9 -9 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 [m] 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 76 [m] 0.545 0.567 0.567 0.541 0.541 0.546 0.546 0.546 0.398 0.398 0.398 0.464 0.464 0.464 0.498 0.498 0.487 0.487 0.487 0.398 0.398 0.398 0.464 0.464 0.464 0.498 0.498 0.498 0.487 0.487 0.487 0.478 0.478 0.478 [m] -0.545 -0.524 -0.524 -0.522 -0.522 -0.484 -0.484 -0.484 -0.548 -0.548 -0.548 -0.451 -0.451 -0.451 -0.400 -0.400 -0.400 -0.400 -0.400 -0.548 -0.548 -0.548 -0.451 -0.451 -0.451 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 -0.400 79/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Optimisation of the position of the stagger will lead to the following results: The maximum value of dewirement for the optimized infrastructure of Germany is 0,95508. This value is equal to 47755 simulations of 50001 monte carlo simulation for one situation. Re100-Re160 wind = 32.1m/s zbw = 2.5cm Nr. 1 2 3 4 5 6 7 8 9 V h R [km/h] [mm] [m] 160 0 inf 160 0 4000 160 42 4000 160 76 4000 160 0 3000 160 55 3000 160 101 3000 160 67 1300 160 128 1300 e1 [cm] -17 -27 -25 -21 -22 -18 -14 -45 -41 e2 [cm] 17 -1 1 5 -21 -18 -14 -45 -40 a [m] 65 62 62.3 62.7 62.7 62.6 62.6 58.6 58.7 e_i [m] 0.473 0.373 0.431 0.433 0.419 0.454 0.494 0.414 0.459 e_a [m] -0.473 -0.435 -0.434 -0.375 -0.497 -0.462 -0.422 -0.501 -0.457 probability panthograph (1200) loses contact with wire V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00080 0.00014 0.00006 0.00000 0.00006 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00008 0.00030 0.00010 0.00004 0.00006 0.00004 0.00302 0.14978 0.03944 0.02006 0.01854 0.02026 0.00002 0.02028 0.00048 0.00142 0.00016 0.00014 0.53457 0.95508 0.86932 0.69835 0.82028 0.82444 0.03992 0.80528 0.40867 0.41143 0.29607 0.29993 80/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The following table shows all the results of the optimized situation of Germany. For 20000 m and 10000 m curves, two types of zigzag have been simulated. The first box of rows of the simulated situations of the infrastructure are the same as the situations of the current infrastructure of Germany. Re100-Re160 wind = 26m/s zbw = 2.5cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 [km/h] 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 120 120 120 100 100 100 100 100 100 100 100 100 100 100 100 60 60 60 [mm] 0 0 0 0 0 0 33 61 0 55 101 10 88 160 153 160 94 134 160 0 22 40 0 34 60 0 65 119 9 93 160 0 78 142 [m] inf 20000 20000 10000 10000 5000 5000 5000 3000 3000 3000 1900 1900 1900 1000 1000 700 700 700 3000 3000 3000 1900 1900 1900 1000 1000 1000 700 700 700 300 300 300 [cm] -20 -25 -19 -29 -19 -19 -16 -14 -31 -27 -23 -48 -42 -36 -44 -44 -47 -44 -42 -28 -27 -25 -45 -42 -40 -49 -44 -39 -50 -44 -38 -50 -44 -38 [cm] 20 15 10 11 1 -19 -16 -14 -30 -27 -23 -48 -42 -36 -44 -44 -47 -44 -42 -28 -26 -25 -45 -42 -40 -49 -44 -39 -50 -44 -38 -50 -44 -38 [m] 80 79 80 78.1 80 79.4 79.6 79.4 78.1 78 78.1 72.6 74.7 75.9 59.1 59.3 51.6 53.6 53.6 79.6 79.7 79.6 75.6 76.9 77.9 60.7 63.2 64.9 51.3 55.3 55.7 36.8 39.4 39.7 [m] 0.469 0.463 0.452 0.456 0.441 0.417 0.447 0.467 0.408 0.443 0.483 0.388 0.448 0.508 0.439 0.439 0.418 0.448 0.468 0.433 0.448 0.463 0.418 0.448 0.468 0.389 0.439 0.470 0.388 0.448 0.491 0.379 0.439 0.489 [m] -0.469 -0.477 -0.465 -0.484 -0.463 -0.477 -0.447 -0.427 -0.485 -0.45 -0.41 -0.506 -0.446 -0.386 -0.44 -0.44 -0.47 -0.44 -0.42 -0.46 -0.445 -0.43 -0.476 -0.446 -0.426 -0.49 -0.44 -0.39 -0.5 -0.44 -0.38 -0.5 -0.44 -0.38 No current 1200 mm V=max No current 1200 mm V=0 Dewirement 1453 mm V=max Dewirement 1453 mm V=0 No current 1550 mm V=max No current 1550 mm V=0 Dewirement 1900 mm V=max Dewirement 1900 mm V=0 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00002 0.00136 0.00094 0.00000 0.00018 0.00016 0.00414 0.14072 0.04910 0.02360 0.02108 0.02276 0.00044 0.05376 0.01180 0.00468 0.00406 0.00416 0.00170 0.14484 0.04108 0.02086 0.01782 0.01620 0.00006 0.03506 0.00612 0.00232 0.00138 0.00132 0.00000 0.01136 0.00064 0.00028 0.00006 0.00004 0.00006 0.05602 0.01186 0.00308 0.00310 0.00334 0.00000 0.00006 0.00000 0.00000 0.00000 0.00000 0.00000 0.03946 0.00164 0.00128 0.00024 0.00026 0.00004 0.08474 0.01528 0.00376 0.00462 0.00420 0.00000 0.30873 0.17280 0.00000 0.10524 0.10404 0.00000 0.05504 0.00106 0.00082 0.00010 0.00014 0.00052 0.29895 0.07710 0.02296 0.03438 0.03302 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00052 0.81196 0.32561 0.14644 0.19062 0.18886 0.00022 0.75724 0.28121 0.10066 0.15382 0.15266 0.00022 0.39979 0.04652 0.46889 0.01398 0.01272 0.00958 0.60055 0.19360 0.66651 0.09282 0.09024 0.05998 0.73381 0.37217 0.78050 0.23850 0.23844 0.00002 0.02104 0.00202 0.00268 0.00030 0.00028 0.00018 0.03366 0.00696 0.00532 0.00178 0.00192 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00002 0.01242 0.00068 0.00202 0.00018 0.00012 0.00030 0.05832 0.01156 0.01450 0.00346 0.00266 0.00458 0.10896 0.04032 0.03336 0.01758 0.01630 0.00000 0.00844 0.00010 0.00364 0.00000 0.00002 0.00010 0.06898 0.00914 0.03574 0.00194 0.00218 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.06836 0.00108 0.08096 0.00010 0.00010 0.00210 0.28685 0.06318 0.29789 0.02052 0.02306 0.09094 0.47377 0.28287 0.46467 0.18146 0.17682 0.00000 0.00018 0.00000 0.03884 0.00000 0.00000 0.00004 0.00822 0.00018 0.23362 0.00038 0.00054 0.02604 0.08424 0.01754 0.57455 0.03856 0.03806 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00000 0.00000 0.00000 0.00000 0.00002 0.00494 0.00058 0.00022 0.00024 0.00008 0.00000 0.00138 0.00004 0.00008 0.00002 0.00000 0.00000 0.00002 0.00000 0.00000 0.00002 0.00000 0.00020 0.04238 0.00528 0.00292 0.00230 0.00232 0.00000 0.00278 0.00002 0.00008 0.00002 0.00000 0.27329 0.61199 0.51143 0.18862 0.43433 0.43513 0.00066 0.16222 0.02600 0.01938 0.01170 0.01232 0.00000 0.00790 0.00002 0.00046 0.00000 0.00002 0.00970 0.73609 0.26015 0.29075 0.16082 0.16332 0.01202 0.79716 0.31301 0.37353 0.20722 0.20488 0.09066 0.78108 0.48673 0.22870 0.39751 0.39727 0.00452 0.56745 0.16184 0.09738 0.09828 0.10110 0.00032 0.39583 0.05042 0.04690 0.02332 0.02380 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00110 0.00014 0.00004 0.00002 0.00000 0.00000 0.00028 0.00002 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00538 0.00082 0.00008 0.00016 0.00016 0.00000 0.00194 0.00014 0.00002 0.00000 0.00002 0.00006 0.00008 0.00008 0.00002 0.00000 0.00004 0.00008 0.02804 0.00250 0.00054 0.00126 0.00126 0.00000 0.00058 0.00000 0.00000 0.00002 0.00000 0.20828 0.53903 0.44067 0.05508 0.38679 0.38509 0.00072 0.15984 0.02444 0.00486 0.01198 0.01242 0.00000 0.00478 0.00000 0.00006 0.00000 0.00000 0.00260 0.00344 0.00340 0.00000 0.00472 0.00482 0.00084 0.10346 0.02026 0.00020 0.02322 0.02342 0.00000 0.00154 0.00002 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00084 0.06514 0.01430 0.00290 0.00650 0.00702 0.00000 0.01612 0.00086 0.00048 0.00022 0.00034 0.00078 0.00076 0.00026 0.00006 0.00048 0.00044 0.00082 0.09474 0.01700 0.00312 0.00840 0.00822 0.00000 0.00404 0.00002 0.00002 0.00000 0.00000 0.00952 0.32467 0.11586 0.02118 0.07432 0.07692 0.00030 0.15542 0.02492 0.00512 0.01254 0.01264 0.00000 0.02312 0.00014 0.00014 0.00002 0.00000 0.00280 0.00334 0.00422 0.00000 0.00416 0.00516 0.00096 0.10454 0.02064 0.00006 0.02328 0.02334 0.00000 0.00926 0.00010 0.00000 0.00006 0.00008 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 185 ICE 3 TGV POS 423 HLE 18 (3kV) HLE 18 (25kV) 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 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0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 Re100-Re160 wind = 29.8m/s zbw = 2.5cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 [km/h] 160 160 160 160 160 160 160 160 160 160 160 160 120 120 120 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 60 60 60 [mm] 0 0 42 76 0 55 101 67 119 160 153 160 94 134 160 0 16 30 0 22 40 0 46 85 0 65 119 72 93 160 0 78 142 [m] inf 4000 4000 4000 3000 3000 3000 1400 1400 1400 1000 1000 700 700 700 4000 4000 4000 3000 3000 3000 1400 1400 1400 1000 1000 1000 700 700 700 300 300 300 [cm] -18 -18 -15 -12 -25 -20 -17 -47 -43 -40 -45 -45 -51 -44 -42 -17 -15 -14 -23 -20 -20 -47 -44 -41 -50 -45 -40 -46 -44 -39 -50 -44 -39 [cm] 18 -17 -14 -12 -25 -20 -17 -47 -43 -40 -45 -45 -51 -44 -42 -16 -15 -14 -22 -20 -19 -47 -44 -41 -50 -45 -40 -46 -44 -39 -50 -44 -39 [m] 70 68.4 68.5 68.6 67.6 67.8 67.3 62.7 64 64 56 56.2 50.9 51.3 51.3 69.3 69.3 69.3 69 69 69 64.5 66 67.3 57.9 59.8 61.4 52.4 52.9 53.3 37 38.5 38.8 [m] 0.473 0.406 0.438 0.465 0.409 0.459 0.489 0.422 0.462 0.492 0.445 0.445 0.419 0.449 0.469 0.431 0.446 0.456 0.434 0.459 0.464 0.422 0.452 0.482 0.395 0.445 0.495 0.429 0.449 0.499 0.382 0.442 0.492 [m] -0.473 -0.464 -0.435 -0.41 -0.501 -0.451 -0.421 -0.487 -0.447 -0.417 -0.45 -0.45 -0.47 -0.44 -0.42 -0.461 -0.446 -0.436 -0.47 -0.451 -0.446 -0.487 -0.457 -0.427 -0.5 -0.45 -0.4 -0.46 -0.44 -0.39 -0.5 -0.44 -0.39 Re100-Re160 wind = 32.1m/s zbw = 2.5cm V h R e1 e2 a e_ie_a Nr. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 [km/h] 160 160 160 160 160 160 160 160 160 160 160 160 120 120 120 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 60 60 60 [mm] 0 0 42 76 0 55 101 67 128 160 153 160 94 134 160 0 16 30 0 22 40 0 50 85 0 65 119 72 93 160 0 78 142 [m] inf 4000 4000 4000 3000 3000 3000 1300 1300 1300 1000 1000 700 700 700 4000 4000 4000 3000 3000 3000 1300 1300 1300 1000 1000 1000 700 700 700 300 300 300 [cm] -17 -27 -25 -21 -22 -18 -14 -45 -41 -38 -44 -43 -47 -44 -42 -27 -25 -24 -20 -18 -17 -44 -41 -38 -48 -43 -39 -46 -44 -39 -50 -44 -39 [cm] 17 -1 1 5 -21 -18 -14 -45 -40 -38 -44 -43 -47 -44 -42 -1 1 2 -19 -18 -16 -44 -41 -37 -48 -43 -39 -46 -44 -39 -50 -44 -39 [m] 65 62 62.3 62.7 62.7 62.6 62.6 58.6 58.7 58.7 54.1 54.3 49.5 49.9 49.9 63.1 63.2 63.3 63.8 63.9 63.8 60.7 62.2 62.3 55.9 57.8 59.4 50.9 51.5 51.9 36.5 38 38.2 [m] 0.473 0.373 0.431 0.433 0.419 0.454 0.494 0.414 0.459 0.484 0.430 0.440 0.417 0.447 0.467 0.424 0.446 0.458 0.439 0.454 0.469 0.424 0.454 0.489 0.390 0.440 0.480 0.427 0.447 0.497 0.378 0.438 0.488 [m] -0.473 -0.435 -0.434 -0.375 -0.497 -0.462 -0.422 -0.501 -0.457 -0.431 -0.440 -0.430 -0.470 -0.440 -0.420 -0.461 -0.443 -0.433 -0.477 -0.462 -0.447 -0.491 -0.461 -0.427 -0.480 -0.430 -0.390 -0.460 -0.440 -0.390 -0.500 -0.440 -0.390 81/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Conclusions Germany Optimisation of the position of the stagger will lead to improved wire positions and lower probabilities for dewirement and leaving the conducting/working range of the EP; 1950 mm pantograph: contact wire incidentally leaves the 1450 mm working zone, but not the 1550 mm conducting zone; 1600 mm pantograph: for all types of trains the contact wire frequently leaves the 1200 mm conducting/working zone on curves of 4000 m or less, but never leaves the safe zone. Thus there is no risk of dewirement when stagger is adapted in the optimised situation. D. Graphical explanation of the probabilities A graph is made for three specific current situations in Germany, i.e. without adapting the stagger. In the first graph a zero probability of leaving the conducting range is represented. The second graph shows a higher probability and the last graph shows the highest probability, even leading to a probability of real dewirement. The red box in the second graph shows the contact wire leaving the conducting/working zone because the point of the contact wire is located near the pantograph end but still inside the safe zone / outside the unsafe zone (not reaching the point of no return). For this situation there is no probability of dewirement if a 1450 mm range is considered, but there is a probability of arcing. The red box in the third graph shows a complete dewirement of the 1600 mm pantograph because the point of the contact wire is located even beyond the unsafe zone (beyond the point of no return, far outside the safe zone). For this situation there is a probability of real dewirement, even if a 1450 mm range is considered, but this probability is not 1 though the left distribution is completely marked red. 82/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Point of no return (1453 mm) Unsafe zone Contact wire Safe zone Conducting zone 83/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Contact wire Unsafe zone Point of no return (1453 mm) Safe zone Conducting zone 84/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 V. Economic analysis From the technical analysis above it is clear that some necessary adaptations to the OCLs will have to be carried out to make the EU Railway Network suitable for both 1950 mm and 1600 mm pantographs. The changes are summarized per country and some rough estimates of per unit prices are given at the end of this analysis. A. Generalized use of a 1600-pantograph – impact on Member States currently using 1950-pantograph From the six countries investigated, two countries do not authorize the use of a 1600 mm pantograph: Germany and Poland. 1. Germany The principle adaptation needed on OCLs Re100 and Re160 will be a change of stagger at the masts, most likely in combination with a replacement of the steady arm in order not to create an infringement problem for the 1950 mm pantograph already in use. Where this is not possible due to specific designs or local circumstances the complete cantilever might have to be replaced. In curves below 5000 m it is likely that spans will have to be shortened by replacing some or all poles. When renewing the complete OCL of a specific line steady arm replacement including changing the stagger is not to be considered as a cost impact. When only contact wire is replaced it should be considered as a cost impact since changing the stagger or replacing the steady arm would seriously slow down the contact wire replacement. An optimized migration to limit the costs has to be decided on a case to case basis. 2. Poland A part from possible particular points no changes have to be made on the investigated OCLs. For curves with radii between 3000 m and 10000 m, it is unclear which stagger values are applied. Nevertheless changes in stagger will be sufficient to adapt the investigated OCLs for a 1600 mm pantograph. B. Generalized use of a 1950-pantograph – impact on Member States currently using 1450 or 1600-pantograph From the six countries investigated, two countries do not authorize the use of a 1950 mm pantograph: France and Italy, Belgium not on its high speed network. 1. Belgium OCL layout on high speed line switches will have to be adapted. 2. France The French conventional 25kV a.c. V200 OCL generally has enough margins towards the passage of a 1950 mm pantograph and no investment has to be done to adapt it. However, information on the OCL layout on switches has not been provided, but, like in Belgium, it is almost certain that changes will have to be made in these zones as switches are always wired tangentially (documents IGTE 21411/310515 and 21411/310518). 85/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 As far as infrastructure is concerned the example given in paragraph III.B.2.2a)(2) Tunnels is a rare case in France and the investment costs to make it suitable for a 1950 mm pantograph depend on the adopted solution. 3. Italy The OCLs themselves do not have to be adapted if uplift in small curves at low speed is in reality limited to 6cm, instead of the 9,5cm now, but station awnings and tunnels are of concern. One solution could consist in lowering the contact wire height, but this has to be investigated on a case to case basis. C. Economic evaluation In the table 28 some rough estimates of per unit prices are given to realize the changes mentioned above. Table 28 : estimated unit prices for OCL adaptations Adaptation Stagger change Steady arm replacement + stagger Cantilever replacement Pole replacement Changing droppers for one span Changing OCL layout on one switch Unit price [euro/p] 800 1’000 3’000 19’000 2’000 1’500 For pole replacement, one might consider to replace 1 pole by 2 new ones, thus reducing two 80 m spans to three 53.3 m spans or two 70 m to three 46.7 m. A complete renewal of the OCL is estimated at 350’000 euro/km OCL (single track). 86/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 VI. Recommendations A. Points to discussion 1. Pantograph flexibility coefficient From EN 152373-1:2013 the pantograph flexibility coefficient t is defined as the transverse displacement “t” of the head raised to 6,5 m under the effect of a transverse force of 300 N. This element has to be accounted for in the calculation of the pantograph kinematic gauge. This element causes a transverse displacement “tr” of the head in collection position under the effect of a 300 N force. The phenomenon only occurs when the contact wire is positioned on the horns of the pantograph, approximately inclined by 45°, and when applying the maximum vertical force of 300 N, i.e. normally only at maximum speed according to EN 50119:2009. The transverse displacement of the pantograph due to a centrifugal force which is 12 N for a pantograph head of 20 kg in a curve with 5000 m radius at 200 km/h, much less than 300 N, will be much smaller. The flexibility t of the pantograph, with a maximum of 0.03 m at a height of 6.5 m and a force of 300 N, is a parameter to calculate the displacement of the pantograph in the kinematic gauge. This displacement is only possible in interaction with the contact wire on the end horn of the pantograph, and not due to its inertia. The interaction of the contact wire on the pantograph is a dynamic effect and with a common used amplification factor of 2 compared with its static effect this leads to a static force of 150 N on a 45° angle on the end horns of the pantograph. Following remarks can be made on how this force could possibly be obtained. A dynamic vertical mean force of 150 N can only appear at train speeds of 287 km/h (a.c.) or 203 km/h (d.c.) according to the TSI ENE HS or CR and EN 50367. These are forces at maximum speeds and dynamic effects. The quasi-static forces at standstill are only 70 N (a.c.) and 110 N (d.c.). The 1600 mm EP has end horns with an angle of 30° and the 1950 mm pantograph has an angle of 23.49° in the conducting part and an angle of 40° on its end horns, which can be conducting or not. This reduces the maximal dynamic. Dynamic simulations show that the maximum vertical contact force occurs in a region of some meters before the support structure of the OCL and not proximity of the region where the lateral deviation of the contact wire is at its maximum, which is near the middle of the span length. In this region the contact force is remarkably smaller and near its minimum. The contact wire can almost not be deviated by the pantograph at the supports. It is the pantograph which will move transverse due to the contact with a contact wire on the end horns. Therefore this situation will lead to a problem is pantograph gauge. This leads to the conclusion that the pantograph flexibility only needs to be taken into account in calculations for the various pantograph gauges in order to verify possible infringement issues. However for wind deflection calculations the effect is largely overestimated and it can be investigated how the limit can be reduced. 87/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 The flexibility t (equal to 0.03 m) within the square root in the formula of ep is a margin in the calculation of the kinematic gauge profile. The effect is considered as a stochastic and has also to be considered in this way in simulations of the contact wire deviation. Another effect which can generate a transverse contact force is the hooking and the sudden release following of the contact wire at the edge of the contact strips (at about 515 mm on the 1950 mm pantograph and at 400 mm on the 1600 mm pantograph) leading to a swinging effect depending on the pantograph flexibility. Effects like these only appear at low speeds and can be considered as clearance problems but not for wind deviation simulations. The problem is also limited to for example badly adjusted overlap sections, i.e. in a bad transition between two OCLs and therefore not representative to the behaviour of one OCL in open stretch. 2. Differences between UIC 606-1 and TSI ENE CR/EN 50119 The parameter up, the movement of the contact wire under the influence of the horizontal component of the working force of the pantograph, from the UIC 606-1 leaflet is not retained in the standard EN 15273. The proposed formula for this effect is only valid in the middle of the span length and with both the angles of the OCL with the track center line at the support structures identical. Another difference between the UIC 606-1 leaflet and the TSI ENE CR is the way in which the lateral deviation of the contact wire ,ud or the side movement of the contact wire due to wind in relation to its position at rest, in UIC 606-1, is taken into account. The UIC 606-1 leaflet considers this effect as being stochastically, while the TSI ENE CR regards it as a deterministic value, which enlarges its influence drastically. The used analysis method is also designed in this way. Both methods can obtain similar results for maximum allowable span lengths if the input parameters are well tuned, but maybe not very realistic. The UIC 606-1 leaflet proposes a value of 11.5 N/m³ for the specific weight of the air, which is equal to 1.172 kg/m³ instead of the common used value of 1.225 kg/m³ or even 1.25 kg/m³ in stormy weather. 3. Transverse track defects TD causes sometimes a discontinuity when using the formulas for straight lines and big curves: twist faults versus cant faults in cant. The values are not equal. 4. Uplift Chapter 10 of EN 50318:2002 demands a validation of a simulation system by comparison of simulated results with measured values from a line test. After the analysis done in paragraph III.B.2 it is clear that a revision of the EN 50318, to increase the accuracy required from the simulated values, would help to improve the design of a new system and to maintain the level of security reducing the safety margins regarding clearances. 88/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Table 29 Deviation of simulated values according to EN 50318:2002 On existing OCLs a line test can be carried out with measurement equipment according to EN 50317. This could specify more in detail limit uplift values according to various train speeds and thus maintain the level of security reducing the safety margins regarding clearances. 89/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 VII.Conclusions A. Generalized use of a 1600 – pantograph In the case of the first main problem of dewirement of the pantograph during windy conditions when using the smaller 1600 mm pantograph on a 1950 mm line or network, occurring principally on German network, the following can be concluded: for the reference vehicle from EN 15273:2013: o it is possible to maintain the 80m spans on straight lines and (very) big curves with a minimum radius of 5000m o when zigzag is limited to -20/+20 and o only when the TSI-limit is widened to 47,5cm by calculating of the pansway values instead of applying the TSI-minimum of 20cm. This means discarding the reference cant or cant deficiency of 66mm, otherwise always taken into account in the calculation of epu and epo, but still with the reference vehicle values. o actual spans in small curves have to be sized down by changing the OCL layout plans If the OCL layout is not adapted to accommodate the 1600 mm EP, an option could be limiting the access to a line or network under severe wind conditions, which would otherwise increase the risk of dewirement to unacceptable levels. In the case of Germany a mean wind speed of 16 m/s could be regarded as a general value not to be surpassed if the EP would receive authorization to circulate on the existing network without any changes. For specific rolling stock like locomotives, which cause less pantograph sway then the reference vehicle due to their stiffer suspensions without increased plays between wheelset and body, can receive authorization to access a line or network even when operating with the 1600 mm EP on a non-adapted OCL and according to the current TSI-limit of pansway. B. Generalized use of a 1950 – pantograph In the case of the second main problem of infringement of mechanical and electrical clearances with respect to the infrastructure when using the larger 1950 mm pantograph on a 1600 mm line or network, occurring principally on French and Italian networks, the following can be concluded: infringement of mechanical clearances to infrastructure static gauge cannot be avoided without modifications to civil structures like tunnels and station awnings. These are nevertheless localized problems, not related to OCL design for which no restrictions apply. C. General conclusion It is possible to adapt OCL-designs making them suitable for both pantographs with limited changes on the majority of the networks, but costly intervention is necessary on some locations. 90/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 VIII. Acknowledgements The authors wish to acknowledge the significant contributions of the following people to the project without whom the outcome would not have been a success. Not only their contributions, all freely provided, but also the timeliness in delivering these was crucial and was much appreciated. IM personnel for the provided input and data. All members of the OCL Survey Group, for their comments, opinions and ideas. Stanisław Lis and Ignacio Ballester from ERA for keeping all the technical experts focused and in line! Touat Tayeb for developing the necessary tools and inspiring discussions on current standards. 91/92 ERA/2013/INTEROP/OP/01 Final Report Authors: Paul Tobback Jan Hauben 12th Decembre 2013 IX. Bibliography 1. Johnson, T.; Osman, M.; Hutchinson, C.; RSSB & Johnson, D.; DGauge Ltd. Pantograph sway acceptance requirements and methodology - summary report. s.l. : RSSB, 2011. Research Programme. 2. Puschmann, R. Contact wire lateral position and span length of interoperable lines. Elektrische Bahnen. 2012, Vol. 11, 110, pp. 612-632. 3. EN 50367. Railway applications - Current collection systems - Technical criteria for the interaction between pantograph and contact line (to achieve free access). 2012. s.l. : CENELEC. 4. Decision 2011/274/EU. Technical Specifications for the Interoperability relating to the energy subsystem of the trans-European conventional rail system. 5. Kiessling, F.; Puschmann, R.; Schmieder, A.; Schneider, E. Contact Lines for Electric Railways. 2nd Edition. Erlangen : Publicis Publishing, 2009. 6. Kiessling, F.; Schmidt, P. Windabtrieb von Oberleitungskettenwerken. Elektrsiche Bahnen. 1998, Vol. 7, 96, pp. 231-235. 7. Wili, U. Vereinheitlichte Stromabnehmerwippe - die Europawippe. Elektrische Bahnen. 1994, Vol. 11, 92, pp. 301-304. 92/92 ERA/2013/INTEROP/OP/01 Annexe A Authors: Paul Tobback Jan Hauben 12th Decembre 2013 Annexe A Questionnaire / checklist version V1.0 11/06/2013 Questionnaire to be completed by the Infrastructure Manager 1. Normative referential Here is expected that the Infrastructure Manager (IM) will specify the referentials used for the interface OCL / pantograph & vehicles applied by the IM for his 2 main OCL-systems, which should cover as much of the main network as possible: National rules or requirements and their origin ? (for example modeling the influence of wind on the OCL and assumptions in the calculations) EN 15273 and EN 50367 ? with exceptions or deviations ? EN 50119 to determine clearances ? with exceptions or deviations ? Eurocodes and their national annexes ? EN 50125 for environmental conditions ? with exceptions or deviations ? UIC 505 and UIC 606-1 fiches ? with exceptions or deviations ? EN 50341-3 ? 2. Input parameters In this chapter, the specific characteristics of catenaries, track, rolling stock, pantographs and wind are listed in Table 1 below. The IM is invited to fill in the values for the different parameters for the 2 main OCL designs. Table 1 is one the hand composed of parameters corresponding to the annex E of the TSI ENE CR (table E.1.3: Symbols and abbreviations, indicated with blue font colour) and one the other hand of other parameters that were determined after discussion. Some parameters are redundant if data on others are available or vice versa. If any other parameters should be considered or have been used in the past, please feel free to complete the list. Table 1 OCL, WIND and TRACK parameters To clarify the different parameters, the table has already been completed with the corresponding values for 2 Belgian catanary designs (the exact values of the parameters are yet to be confirmed by the Belgian IM) CHAPTER 1-2 Template application form ERA 20130904.xlsx 1/12 version V1.0 11/06/2013 Reference Symbol CATENARY 1 1.1 1.2 VOCL 1.3 1.4 Name of the OCL type maximum design speed contact wire(s) automatically tensioned messenger wire(s) automatically tensioned Unit -- R3-120 -- Cn-107 -- km/h 200 -- 160 -- Y/N Y -- Y -- Y/N Y -- N -- °C 20 1 15 1 reference ambient temperature 70 Bz 94.13 12.6 ----- 60 Bz 94.13 12.6 ----- temperature range considered around reference temperature -- NA -- CuCd 0.7 -- mm² NA -- 103.87 -- mm NA -- 11.5 -- 1.5 Tref reference temperature 1.6 1.7 1.8 1.9 Trange temperature range messenger wire type messenger wire cross section messenger wire diameter °C -mm² mm Emw Young's modulus messenger wire MPa 1.10 1.11 auxiliary contact wire type auxiliary contact wire cross section 1.12 auxiliary contact wire diameter 1.13 1.14 1.15 Eaw 1.16 1.17 1.18 1.19 Ecw Th15 1.20 Ta15 1.21 1.22 1.23 Tz15 awh 1.25 1.26 1.27 1.28 1.29 Young's modulus auxiliary contact wire contact wire type contact wire cross section & number of wires CuAg 0.1 -- CuAg 0.1 -- mm² EN 50149 2 x 120 -- 2 x 107 -- Young's modulus contact wire MPa EN 50149 1,2x10 dropper wire cross section dropper wire diameter Tensile load of the messenger wire at reference ambient temperature Tensile load of the auxiliary messenger wire if present, at reference temperature Tensile load of 1 contact wire at reference temperature aerodynamical wind surface of the messenger wire mm² mm 16 6.20 --- 10 4.83 --- N 12749 -/+ 3% 14568 N NA 7600 N 14710.5 9807 cm²/m 158 -- 158 -- cm²/m 227 -- 366 -- m 63 -- 63 --- amaxt maximum span length Hcnom Hcd,min Hcd,max linear mass density of the contact wire Nominal contact wire height at mast Minimum design contact wire height Maximum design contact wire height comment definition & drawing MPa EN 50149 awz Mfc OCL 2 nominal value tolerance -- aerodynamical wind surface of the contact wire(s) and auxiliary messenger wire if present 1.24 OCL Description OCL 1 nominal value reference tolerance 5 tensioning device efficiency can be regarded as a tolerance on this value kg/m EN 50149 Annex C 1.069 -- 0.957 m EN 50119 5.10 -0.03/+0.03 5.30 m EN 50119 4.80 -- 4.80 -- m EN 50119 6.00 -- 6.00 -- Optional input parameter Template application form ERA 20130904.xlsx 2/12 version V1.0 11/06/2013 Reference Symbol CATENARY 1 1.1 Mbvl, new 1.30 Mbvl, worn 1.31 1.32 1.33 Mp linear mass density of the auxiliary contact wire if present Er System height fc max maximum (mid-span) sag of the contact wire at reference temperature and maximum span 1.36 1.37 1.38 1.39 1.40 Name of the OCL type linear mass density of the complete catenary, including droppers etc. (new) linear mass density of the complete catenary, including droppers etc. (fully worn) presence stitch wire linear mass density of the messenger wire Mpa 1.34 1.35 Description fc ef0 lpc 2S0 formula used to determine f for non-maximum spans normal distance between droppers at support length of small droppers in case of compound catenary maximum allowed uplift at the steady arm Unit OCL 1 nominal value reference tolerance -- R3-120 -- Cn-107 -- kg/m 3.12 -- 3.76 -- only to be filled in if the influence of droppers is accounted for kg/m 2.65 -- 3.38 -- only to be filled in if the influence of droppers is accounted for Y/N N -- N -- changes Mbvl within a span length ! kg/m 0.884 -- 0.884 -- kg/m NA -- 0.925 -- m 1.45 -- 1.65 -- distance between center of the messenger wire and bottom of the contact wire(s) at a support vertical distance at mid-span and reference temperature between the bottom of the contact wire and a straight line connecting the nominal contact wire heights at the surrounding supports 40 -- 32 -- -- -- -- -- -- p.e. formula or table m 7 -- 7 -- Please provide a dropper scheme/drawing mm NA -- 200 -- mm 240 -- 200 -- 0.12 -- 0.10 -- 0.00 -- 0.00 -- 0.06 -- 0.06 -- 5.28 -- 5.10 -- -- -- Margin to take account of the raising of the contact wire m fwa Margin to take account of the wear of the pantograph contact strip m fws Margin to take account of the bow trespassing the contact wire due to the pantograph sway m heff Effective height of the raised pantograph m hcc Static height of the contact wire m hV=0 Height in relation to the running surface at stand still m hVmax Height in relation to the running surface at Vtrack m 1.42 1.43 1.44 1.45 1.46 1.47 OCL comment mm fs 1.41 OCL 2 nominal value tolerance TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E definition & drawing multiple values depending on train speed migth be The design uplift of the contact wire at the support, for the given maximum span length under normal operating conditions -- 5.30 -- can differ from nominal contact wire height -- -- for layout and calculation on maximum span -- -- for layout and calculation on maximum span Template application form ERA 20130904.xlsx 3/12 version V1.0 11/06/2013 Reference Symbol CATENARY 1 1.1 h’V=0 1.48 h’Vmax 1.49 h'o 1.50 h'u 1.51 1.52 1.53 adefault a Description Name of the OCL type Reference height in the calculation of the pantograph gauge at stand still Reference height in the calculation of the pantograph gauge at Vtrack Maximum verification height of the pantograph gauge in a collecting position Minimum verification height of the pantograph gauge in a collecting position standard allocation span length in straight line (standard) span length Unit OCL 1 nominal value reference tolerance -- R3-120 m m m m TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E -- OCL 2 nominal value tolerance Cn-107 -- -- for clearance calculation -- -- for clearance calculation 6.50 -- -- 5.00 -- -- m 56 m -- 63 -- -- -- cm 4 0.1% 4 0.1% Hbw height of mast deflection value m 8.07 -- 8.12 -- emax,TSI,1600 absolute maximum stagger under wind conditions for 1600-panto cm TSI ENE CR 2011 table 4.2.13.2 40 -- 40 -- to be verified by the study; not to be filled in emax,TSI,1950 absolute maximum stagger under wind conditions for 1950-panto cm TSI ENE CR 2011 table 4.2.13.3 55 -- 55 -- to be verified by the study; not to be filled in m TSI ENE CR 2011 Annex E -- -- -- -- to be calculated; maximum value related to type of panto dl Lateral deviation of contact wire 1.58 1.60 OCL distance between center of the pole bended under load (OCL and a calculation rule might be given if no fixed value is wind at SLS (serviceability limit state)) and the center of the pole being used bended under permanent load vertical distance from the foundation to the level at which the zbw is top of poles; cantilever level; etc. determined Mast deflection value 1.57 1.59 no single value, but related to track; input from results and rules demanded in chapter 4 zbw 1.56 dl,max Ut absolute maximum stagger at mast installation tolerance contact wire stagger cm 28 cm -- definition & drawing -- 1.54 1.55 comment 28 -0.01/+0.02 to be verified by the study; input from results and rules demanded in chapter 4 -- Template application form ERA 20130904.xlsx 4/12 version V1.0 11/06/2013 Reference Symbol CATENARY 1 1.1 1.61 1.62 1.63 1.64 e1,c e2,c e1,p e2,p 1.65 Unit OCL 1 nominal value reference tolerance -- R3-120 -- Cn-107 -- cm -- -- -- -- cm -- -- -- -- cm -- -- -- -- cm -- -- -- -- mm 40 m 700 minimum cantilever length maximum cantilever length static insulation clearances m m mm 1.95 4.25 150 150 dynamic insulation clearances mm 100 100 Description Name of the OCL type contact wire stagger on the left side of a span contact wire stagger on the right side of a span messenger wire stagger on the left side of a span messenger wire stagger on the right side of a span distance between contact wires at mast if more than one is present maximum half tension length 1.66 1.67 1.68 1.69 1.70 OCL 2 nominal value tolerance 40 comment definition & drawing no single value, but related to track; input from results and rules demanded in chapter 4 no single value, but related to track; input from results and rules demanded in chapter 4 no single value, but related to track; input from results and rules demanded in chapter 4 no single value, but related to track; input from results and rules demanded in chapter 4 exact definition of stagger ? distance between mechanical midpoint and tensioning device standard cantilever drawings standard cantilever drawings please provide reference used (EN 50119; UIC 6061; etc.) Other parameters NA: non applicable Y/N: yes or no OCL Template application form ERA 20130904.xlsx 5/12 version V1.0 11/06/2013 Reference Symbol 2 WIND reference Description Unit Vc,min Minimal peak wind speed design check at SLS (serviceability limit state) m/s 2.2 Vb Basic wind velocity for a 50 year period m/s EN 1991-1-4 26 2.3 kr Terrain factor -- EN 1991-1-4 0.19 2.4 z0 Roughness length m EN 1991-1-4 0.05 2.5 kl Turbulence factor -- EN 1991-1-4 1 2.6 c0 Orography factor -- EN 1991-1-4 1 2.7 Trv Return period considered for calculating SLS 3 r density of air EN 1991-1-4 EN 50119 kg/m³ :2009 2.1 2.8 WIND 1 CsCd 2.10 ip Reference level of pole foundations m -0.75 amint Minimal standardised span m 21 qk characteristic dynamic wind pressure agust zone within the span affected by wind gust if smaller than maximum span m are there any restrictions on operation due to wind speed ? Y/N 2.12 2.13 N/m² definition not to be confused with Vb,0 0.05 0.05 Vb = Cdir.Cseason.Vb,0 fixed value, not to be filled in 1.225 2.9 2.11 comment WIND 3 34 years -- WIND 2 EN 1991-1-4 only to be filled in for some specific calculation methods this can be various values depending on zones or section of lines centered around mid span; only to be taken into account if spans are greater than 65m any deviating values on specific lines or section of lines ? installation/allocation values deviating from general rule/value ? example Germany: parallel HS- and CR-lines: HSlines have higher wind speeds Other parameters 2.14 WIND Template application form ERA 20130904.xlsx 6/12 version V1.0 11/06/2013 Reference Symbol 3 TRACK 3.1 Description Name of the track type Unit reference -- TRACK 1 TRACK 2 TRACK 3 TRACK 4 HSL I HSL II HSL III CR 3.2 TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E Do Reference cant taken into account by the vehicle for the pantograph gauge m I’0 Reference cant deficiency taken into account by the vehicle for the pantograph gauging m L Distance between rail centres of a track m l Track gauge, distance between the rail running edges m 3.7 lupper Track gauge tolerance, upper limit m 1.440 3.8 llower Track gauge tolerance, lower limit Maximum track gauge, including track widening in tight curves m 1.433 m 3.3 3.4 3.5 3.6 3.9 lmax 3.13 3.14 3.15 3.16 3.17 3.18 3.19 0.066 0.066 0.066 0.066 0.066 0.066 1.507 1.507 1.507 1.507 1.435 1.435 1.435 1.435 1.450 1.450 1.450 1.450 mm TSI INFRA 11 25 25 25 t'2 Faults in cant (cant variation occurring between two successive maintenance actions for various operating speeds) mm TSI INFRA 6 6 10 10 t''2 Distortion failures (for various operating speeds) mm TSI INFRA 5 6 6 6 twist mm TSI INFRA 85 mm/s mm m TSI INFRA 70 -- -- -- input from results and rules demanded in chapter 4 --- 150 --- input from results and rules demanded in chapter 4 input from results and rules demanded in chapter 4 R Rmin Abrupt change of cant deficiency on diverging track of switches Rate of change of cant (in function of time) Rail wear curve radius m m m Largest cant m TSI INFRA 0.180 0.180 m TSI INFRA 0.150 0.150 3.20 3.21 Imax Largest cant deficiency Vtrack Maximum design line speed href height of the track above surrounding terrain 3.23 -- Smallest curve radius cant cant deficiency D I Dmax 3.22 0.066 T1 3.11 3.12 0.066 Faults in track alignment (transverse displacement of the track between two successive maintenance actions for various operating speeds) 3.10 km/h m definition & drawing the static and kinematic load gauge, kinematic envelope and the swept envelope as well as any national or international requirements for structural clearances (tunnels, etc.) EN 50119 :2009 Infrastructure gauges in use comment --- 300 --- 220 160 120 mm/m ? Wich basis ? Statistical values !! Values for immediate intervention should be given this speed will be considered as the mamimum operational speed of the line representative value to be filled in; high embankements and bridges/viaducts to studied separately Other parameters TRACK Template application form ERA 20130904.xlsx 7/12 version V1.0 11/06/2013 3. Combinations In Table 2 below are to be specified the combinations of train and pantographs, the Infrastructure Manager wishes to be analyzed : minimum 2 combinations and maximum 5 combinations will be proposed, including the 2 most standard rolling stock types, for example 1 for conventional and 1 for high speed lines, and/or 1 locomotive and 1 EMU. Priority must be given to consider rolling stock with s’0=0.225 (see Table 2 below). Other types of rolling stock may be treated since they might actually be more constraining towards pantograph gauge and OCL layout. The considered pantographs may be TSI pantographs, 1950 pantographs or pantographs used specifically on national network. Table 2 is already filled in with some examples for the Belgian network, not necessarily to be treated by this study. Table 2 Pantograph/Rolling Stock combination RS-P 1 RS-P 2 Thalys PBKA RS-P 3 Rolling stock RS-P 4 Pantograph width 1450 1950 1600 1950 RS-P 5 EMU 80/82/83 1760 Manufacturer and pantograph type Tension Maximum Operating Speed Faiveley CX 004 BU 25 kV 300 km/h Faiveley CX 003 BU 3 kV 220 km/h Melecs SBS 2T 25 kV 200 km/h Melecs SBS 2T 3 kV 200 km/h Brecknell Willis 3 kV 160 km/h HLE 18 In table 3 the characteristics of these trains and pantograhps are to be specified. The table has already been filled in with some examples. Table 3 PANTO & RS parameters for each combination in Table 2 CHAPTER 3 Template application form ERA 20130904.xlsx 8/12 version V1.0 11/06/2013 Reference Symbol Description 4 PANTOGRAPHS Unit bw Half-length of the pantograph bow m bw,c Half-length of the pantograph bow conducting length (with insulating horns) or working length (with conducting horns) m 4.1 4.2 bzncc 4.3 4.4 4.5 horn made of insulating material Projected length of the insulating horn b'o,mec Width of mechanical kinematic pantograph gauge at upper verification point b'u,mec Width of mechanical kinematic pantograph gauge at lower verification point bh,mec Width of mechanical kinematic pantograph gauge at intermediate height, h ep Pantograph sway due to the vehicle characteristics epo Pantograph sway at the upper verification point epu Pantograph sway at the lower verification point S’i/a Allowed additional overthrow on the inside/outside of the curve for pantographs qs' Quasi-static movement Σj Sum of the (horizontal) safety margins covering some random phenomena (j = 1, 2 or 3) for the pantograph gauge τ Mounting tolerance of the pantograph on the roof. t Transverse flexibility of the mounting device on the roof. θ suspension adjustment angle ht Height of the panto’s lower articulation pivot Location of panto on the vehicle 4.6 4.7 4.8 Half-length of the contact strip(s) 4.9 4.10 4.11 4.12 4.13 4.14 4.15 4.16 4.19 4.17 4.18 reference TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E RS-P 1 RS-P 2 RS-P 3 0.975 0.800 0.880 RS-P 4 comment RS-P 5 to check clearances 0.725 to check layout m 0.515 0.453 this parameter is necessary if the contact wire(s) should stay on the contact strip under normal circumstances (no wind, Vmax) Y/N m Y 0.200 N -- TSI ENE CR m 2011 Annex E TSI ENE CR m 2011 Annex E TSI ENE CR m 2011 Annex E TSI ENE CR m 2011 Annex E TSI ENE CR m 2011 Annex E TSI ENE CR m 2011 Annex E TSI ENE CR m 2011 Annex E TSI ENE CR m 2011 Annex E TSI ENE CR 2011 Annex E EN15273m 1:2009 Annex H EN15273m 1:2009 Annex H EN15273radian 1:2009 Annex H m definition & drawing -- -- -- -- -- will be calculated according TSI formula -- -- -- -- -- will be calculated according TSI formula -- -- -- -- -- will be calculated according TSI; h=h' formula -- -- -- -- -- will be calculated according TSI and simulated during phase ANA_2 of the study formula 0.17 0.22 0.11 0.17 -- -- -- -- -- will be calculated according TSI and simulated during phase ANA_2 of the study formula -- -- -- -- -- will be calculated according TSI and simulated during phase ANA_2 of the study formula -- -- -- -- -- will be calculated according TSI and simulated during phase ANA_2 of the study j = 3: dynamic (EN 15273) formula the pantograph installation and construction tolerance between the centerline of the vehicle body and the centre of the head raised to 6,5 m in the absence of any stress 0.01 0.030 Flexibility coefficient of panto 0.005 the transverse displacement of the head raised to 6,5 m under the effect of a transverse force of 300 N the angle created by the body suspension adjustment tolerances 4.005 A scaled drawing should be given Other parameters PANTO & RS Template application form ERA 20130904.xlsx 9/13 version V1.0 11/06/2013 Reference Symbol Description PANTOGRAPHS 5 ROLLING STOCK 5.1 Vehicle gauges in use Unit h'co Reference roll centre height for the pantograph gauge m q Transverse play between axle and bogie frame or, for vehicles not fitted with bogies, between axle and vehicle body m w Transverse play between bogie and body m 5.2 5.3 5.4 s'o 5.5 5.6 5.7 5.8 Flexibility coefficient taken into account by agreement between the vehicle and the infrastructure for the pantograph gauging Wheel wear m reference TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E TSI ENE CR 2011 Annex E RS-P 1 RS-P 2 RS-P 3 RS-P 4 RS-P 5 comment definition & drawing 0.50 0.005 0.005 0.0325 0.06 0.225 0.225 0.4 mm Tcharge Loading dissymmetry ° EN 15273-3 0.77 Tsup Dissymmetrical suspension adjustment ° EN 15273-3 0.23 Other parameters PANTO & RS Template application form ERA 20130904.xlsx 10/13 version V1.0 11/06/2013 A number of total combinations of OCL, Wind, Track, Rolling stock and Pantographs (CWTRP) are currently used without major problems on each national network (green in Figure 1 below), but some combinations are not used (orange in Figure 1 below) or not allowed (red in Figure 1 below). PANTO 1450 RS R1 OCL C1 WIND W1 PANTO 1600 PANTO 1950 Clearance ? Switches layout ? TRACK T1 RS R2 RS R1 Thalys RS R2 HLE 18 OCL C2 R3-120 WIND W1 34 m/s TRACK T2 HSL II PANTO 1450 PANTO 1600 PANTO 1950 Layout ? RS R3 EMU 80/82/83 PANTO 1600 PANTO 1760 PANTO 1950 Figure 1 CWTRP-combinations and problems Belgian examples in grey (to be confirmed by Belgian IM) The aim of this study is to examine the feasibility and impact of adaptation of OCL designs with limited changes to accommodate 1950 mm and 1600 mm pantographs and in a first phase to clarify the level of over- or under-design of current OCLs. In other words, how dark or bright are the colors really ? The study will therefore focus in the first place on the use of the former two types of pantographs without changing the first 4 constituents (CWTR). If compatibility is not guarantied OCL design modifications will be proposed and investigated to see if compatibility can be reached. CHAPTER 4-5 Template application form ERA 20130904.xlsx 11/13 version V1.0 11/06/2013 4. Results and current design rules Each Infrastructure Manager is invited to provide information from studies already performed with respect to the interaction between OCL and pantograph (calculation results, design rules employed). For instance the following information may be of great interest : For which WTRP-combination(s) the OCL has been designed in the past ? What were the safety margins for each CWTRP-constituent ? Has there been any evolution after the moment of fixing the concept of an OCL regarding the gap between real characteristics of each CWTRP-constituent and the safety margin used in the calculations ? Tables with maximum distances between poles (span) in relation to curvature, cant, switches, overlaps and stagger values, including design rules to obtain these tables and their origin Layout of OCL in switches and overlaps Maximum displacement of pantographs in straight track, curvatures, switches and overlaps, if possible in relation to rolling stock (possibly no longer operational) Steady arm and cantilever or armament design (drawing indicating length, shape and the presence of a blocking device to limit uplift of the contact wire) - Drawing of pantograph gauge on typical cross sections of each OCL design, including the calculation rules An actual layout plan using one or several representative OCL designs, including all relevant data like stagger, track data (curves, cant, switches, etc.) and the environmental data (bridges, height of embankment, etc.). This will allow a comparison between the theoretical values of OCL design and the actuals used on site Are there any restrictions due to OCL-design on the use of actual rolling stock on the entire network, including all types of OCL ? …. 5. Additional information Have any modifications already being made to accommodate other types of pantographs than those formerly in use ? If indeed so, what was the nature of these modifications (operating speed limits, wind speed limits, change in equipment of turnouts and overlaps, etc.) ? Did other considerations, such as dynamical behavior of the OCL/pantograph combination or minimum dropper lengths/maximum system height, limit the maximum span for some OCL designs ? CHAPTER 4-5 Template application form ERA 20130904.xlsx 12/13