stentec bv
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stentec bv
Raadgevend Ingenieursbureau Stentec B.V. Hollingerstraat 14 8621 CA Heeg The Netherlands Tel. 0515 - 443515 Fax. 0515 - 442824 Date of release: 03 January 2003 STENTEC B.V. Load set calculation Dowec 6MW R45.04/01.03/03 CD C45.04/01.03/03 H. Efdé W. Kuik This copy belongs to: Stentec B.V. / NEG Micon /ECN Load set calculation DOWEC 6MW H. Efdé Quality Internal control Date Report Ing. H. Efdé (HE) 3 January 2003 Authorisation Ir. W. Kuik (WK) 3 January 2003 Signature This document is made for NEG Micon and ECN. Stentec will only present the results of the calculation to NEG Micon and ECN. R45.04/01.03/03 Stentec, 3-1-03 page 2 Load set calculation DOWEC 6MW H. Efdé Summary This report contains a load set calculation and design variation calculations for the DOWEC 6 MW wind turbine. The wind turbine is modelled in Phatas IV by ECN. The calculations of the “baseline” wind turbine are performed with executable “phat6MW.exe” dated 020502. For the design variations other executables were used. The load set is programmed by Stentec B.V. according ref. [2] description. The resulting fatigue and ultimate loads are presented in time response diagrams, extreme values tables, statistics and VBC tables (1Hz equivalent signals), generated by Stentec B.V.’s post processing program ADAP. All results are stored on CD C45.04/01.03/03. The results of the design variation calculations are stored on CD C45.04/01.03/03 and are used to generate “cost of energy” tables. The decisive values can be used for optimalisation and design detailling. R45.04/01.03/03 Stentec, 3-1-03 page 3 Load set calculation DOWEC 6MW H. Efdé Contents Quality .....................................................................................................................................................2 Summary .................................................................................................................................................3 Contents ..................................................................................................................................................4 1 Introduction ......................................................................................................................................5 2 Wind turbine .....................................................................................................................................6 2.1 Wind turbine modelling ........................................................................................................... 6 3 Load set. ..........................................................................................................................................7 3.1 Introduction. ............................................................................................................................ 7 3.2 Definitions of the quantities..................................................................................................... 7 3.3 Forces, moments and deflections........................................................................................... 8 3.4 User defined parameters ........................................................................................................ 9 4 Results ...........................................................................................................................................11 4.1 Maximum tower foot bending moment ................................................................................. 11 4.2 Extreme tables...................................................................................................................... 12 4.3 1 Hz equivalent signals......................................................................................................... 13 5 Design variations. ...........................................................................................................................15 5.1 Cost of energy....................................................................................................................... 15 5.2 Structural pitch. ..................................................................................................................... 15 5.2.1 Cost of energy. .............................................................................................................. 16 5.3 Tower eigenfrequencies. ...................................................................................................... 17 5.3.1 Cost of energy. .............................................................................................................. 17 5.4 Turbine control. ..................................................................................................................... 18 5.4.1 Cost of energy. .............................................................................................................. 18 5.5 Tapered blade....................................................................................................................... 20 5.5.1 Cost of energy. .............................................................................................................. 20 5.6 Low Lambda control. ............................................................................................................ 21 5.6.1 Cost of energy. .............................................................................................................. 22 6 Conclusion. ....................................................................................................................................23 References. ...........................................................................................................................................24 Appendix A. Phatas file listing ..........................................................................................................25 Appendix B. Load cases listing.........................................................................................................26 Appendix C. Plot of loadcase GrEog1Voc.........................................................................................31 Appendix D. Tables structural pitch. .................................................................................................32 Appendix E. Tables tower frequencies..............................................................................................41 Appendix F. Tables pitch control. .....................................................................................................50 Appendix G. Tables tapered blade....................................................................................................59 Appendix H. Low Lambda control. ....................................................................................................68 Appendix I. Plots tower eigenfrequencies. ..........................................................................................69 Appendix J. Base line control versus Peak Shave control. ...............................................................72 R45.04/01.03/03 Stentec, 3-1-03 page 4 Load set calculation DOWEC 6MW H. Efdé 1 Introduction In order to calculate the strength of a wind turbine a set of loads and load combinations is prescribed by the certification authority. This report describes the load set and results according to IEC2 class C and DNV regulations for the DOWEC 6 MW wind turbine. It is the purpose that the fatigue and ultimate strength of the wind turbine comply with this standard. The wind speeds and turbulence intensities that are used for the load set are given by NEG Micon and ECN ref. [2]. R45.04/01.03/03 Stentec, 3-1-03 page 5 Load set calculation DOWEC 6MW H. Efdé 2 Wind turbine The DOWEC MW6 wind turbine is a three-bladed off shore wind turbine with a rotor diameter of 129 m. and a rated power of 6 MW. The turbine start up wind speed is 4 m/s and has a nominal wind speed of 12.1 m/s. Rated rotor speed is 11.84 rpm. The blades on this variable speed wind turbine are controlled by an active pitch control system. Normal pitching speed is 5º /sec. while emergency speed is 10º /sec. The hub height of the DOWEC is 91.4 m. above sea level. Total height of the tower is 110.2 m. from the sea bottom. A description of the DOWEC wind turbine can be found in ref. [3] and ref. [14]. 2.1 Wind turbine modelling The DOWEC 6 MW wind turbine has been modelled with the dynamic response program Phatas IV by ECN. An overview of the used program and input files can be found in Appendix A. For the simulation the DOWEC wind turbine with 21 meter foundation was used without hydrodynamic loading. R45.04/01.03/03 Stentec, 3-1-03 page 6 Load set calculation DOWEC 6MW H. Efdé 3 Load set. 3.1 Introduction. A loadset has been defined by NEG Micon and ECN, ref. [2]. The load cases are based on IEC2 class C regulations and DNV regulations for off shore wind turbines. According this load set description Stentec B.V. made two series of input files for Phatas IV, one for the fatigue calculations and the other for ultimate loads calculations. Stochastic wind models were generated with Swifti2. 3.2 Definitions of the quantities. The definition of the quantities is according to the blade, hub and tower co-ordinate system of the Terms of Reference ref. [4]. A short description of the used quantities in Phatas is given below. R45.04/01.03/03 Stentec, 3-1-03 page 7 Load set calculation DOWEC 6MW 3.3 H. Efdé Forces, moments and deflections. Phatas notation Unit Description Table 1: Blade co-ordinate system Mxb[i], Myb[i] [kNm] Total moment of blade i around the blade foot in x and y-direction of the rotating blade co-ordinate system, non-pitching. Mxb[i]-p, Myb[i]-p [kNm] Total moment of blade i around the blade foot in x and y-direction of the rotating blade co-ordinate system, pitching. Tip disp. flap [i] [mm] Total displacement of tip of blade [i] in X-direction. Tip disp. lag [i] [mm] Total displacement of tip of blade [i] in Y-direction. Table 2: Hub co-ordinate system Fxn, Fyn, Fzn [kN] Total force at a predefined location behind the rotor centre in x, y and z-direction of the non rotating hub co-ordinate system. Mxn, Myn, Mzn [kNm] Total moment around the x, y and z-direction at a predefined location behind the rotor centre of the non rotating hub co-ordinate system. Fxn-r, Fyn-r, Fzn-r [kN] Total force at a predefined location behind the rotor centre in x, y and z-direction, rotating rotor co-ordinate system. Mxn-r, Myn-r, [kNm] Total moment around the x, y and z-direction at a predefined Mzn-r location behind the rotor centre , rotating rotor co-ordinate system. Torsional [deg] deformation rotor shaft Rotor angular [deg/s2] acceleration Axial force, rotor [kN] Axial aerodynamic force on the rotor Aero power, rotor [kW] Aerodynamic power on the rotor Pitch angle [i] [deg] Pitch angle of blade [i], angle blade tip with respect to the rotor plane (θ). R45.04/01.03/03 Stentec, 3-1-03 page 8 Load set calculation DOWEC 6MW H. Efdé Table 3: Tower co-ordinate system Phatas notation Unit Description Mxt, Myt, Mzt [kNm] Total moment around the (x,) y and z-direction of the tower coordinate system at the intersection between the horizontal axis at a specified height above the tower base and the tower Z-axis. X-defl, Y-defll [mm], Displacement in the X, Y direction, at a specified height above the [deg] tower base. Yaw angle [deg] Yaw angle with respect to tower top. Yaw rate [deg/s] Wind-speed, hub Wind direction Gen. shaft power Rotorspeed Azimuth angle 3.4 [m/s] [deg] [kW] [rpm] [deg] Wind speed at hub height Actual wind direction at hub with respect to the rotor shaft Power through the generator shaft. Speed of rotation of the rotor (positive is clockwise) (Ω). Rotational angle of blade 1 with respect to the Z-axis User defined parameters In Phatas it is possible to determine deflections, moments and stresses at specified locations in tower, nacelle and blades. Table 5: Tower parameters Phatas notation Unit Mxt[1], Myt[1] [kNm] Location above tower foot 0.0 m Mxt[2], Myt[2] [kNm] 110.2 m R45.04/01.03/03 Stentec, 3-1-03 Description foundation base (sea floor) yaw bearing page 9 Load set calculation DOWEC 6MW H. Efdé Table 6 : Nacelle parameters Phatas notation Unit Mxn[1], Myn[1], Mzn[1], [kNm], Fxn[1], Fyn[1], Fzn[1] [kN] Mxn-r[1], Myn-r[1], [kNm] Mzn-r[1] Table 7: Blade parameters Phatas notation Unit Mxb[i], Myb[i] Mxb[i]-p[01], Myb[i]-p[01] Mxb[i]-p[02], Myb[i]-p[02] tip displ. flap[i] tip displ. lag[i] R45.04/01.03/03 Location aft of hub 0.0 m Description rotor centre 0.0 m rotor centre [kNm] [kNm] Location from blade foot -1.80 m 0.20 m [kNm] 28.20 m blade cross section [mm] [mm] 62.69 m 62.69 m blade tip blade tip Stentec, 3-1-03 Description rotor centre blade root page 10 Load set calculation DOWEC 6MW H. Efdé 4 Results After the PhatasIV calculations the digital output files were converted in ASCI format with the Phatas postprocessor PHPOST.exe. PHPOST can convert 128 variables maximum per postprocessing run. Stentec B.V.’s post processor ADAP was used to generate extreme values tables, statistics and for fatigue analysis 1Hz equivalent signals. The extreme values were extracted from all load cases of the ulitmate and fatigue load set. For the fatigue analysis only load cases 12 a/b, 18a/b and 24a/b were examined. These are considered to be the decisive load cases for optimalisation. 4.1 Maximum tower foot bending moment According IEC 6.1 36 simulations are performed with the wind turbine idling at a windspeed (stochastic model) of 41.5 m/s. Each load case is calculated with a different wind direction. To improve the idling of the model, the pitch angle of the blades is set at 85º. The maximum resulting tower foot bending moments are: Table 8: Ultimate tower foot bending moments Variable Extreme Ldcase 2 Ldcase Mxt[01] -177230 E50335 -158310 E50325 Myt[01] 79498 E50025 -79262 E50175 all values in kNm, load factor = 1.00 3 Ldcase -155300 E50345 -76273 E50185 4 Ldcase -139370 E50315 -74108 E50195 The load case E50335 generates the highest tower foot bending moment. This load case is repeated 8 times, but for each load case a different stochastic model is used. The maximum tower bending moments are: Table 9: Ultimate tower foot bending moments Variable 1 2 3 4 Mxt[01] -177230 -170690 -166180 -147640 Myt[01] 87609 85477 77240 73366 all values in kNm, load factor = 1.00 5 -146740 71669 6 -135330 67842 7 -133620 65646 8 -117230 53084 From these values it can be determined that the mean maximum tower foot bending moment Mxt[01] is: 149333 kNm. It has to be noted that this value is not the absolute highest value. When looking at the extreme values tables load case GrEog1Voc generates the highest tower foot bending moment Myt[01], which is -281560 kNm (with = 1.00) . For a plot of this loadcase see Appendix C. R45.04/01.03/03 Stentec, 3-1-03 page 11 Load set calculation DOWEC 6MW 4.2 H. Efdé Extreme tables Of the most important design parameters the extreme values are: Table 10: All parameters, absolute extreme values. Variable Mxt[01] Myt[01] Mxt[02] Myt[02] Mxn Myn Mzn Mxn-r Myn-r Mzn-r Fxn Fyn Fzn Mxb[1] Myb[1] Mxb[2] Myb[2] Mxb[3] Myb[3] Mxb[1]-p[01] Mxb[1]-p[02] Mxb[2]-p[01] Mxb[2]-p[02] Mxb[3]-p[01] Mxb[3]-p[02] Myb[1]-p[01] Myb[1]-p[02] Myb[2]-p[01] Myb[2]-p[02] Myb[3]-p[01] Myb[3]-p[02] Tip displ. flap[1] Tip displ. flap[2] Tip displ. flap[3] Tip displ. lag[1] Tip displ. lag[2] Tip displ. lag[3] R45.04/01.03/03 Unit kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kN kN kN kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm mm mm mm mm mm mm with without Extreme Loadcase Extreme Loadcase -171210.02 E50335-3 -231133.53 E50335-3 -281560.00 GrEog1Voc -380106.00 GrEog1Voc 10778.00 PrloVe1k 11855.80 PrloVe1k -22697.00 EcdVrb -30640.95 EcdVrb -10157.00 PrloVe1h 12053.34 EmShVr -19807.00 EcdVrb -26739.45 EcdVrb 13249.00 Sh2bVr -15412.95 EcdVrb -10157.00 PrloVe1h 12053.34 EmShVr 17780.00 EcdVrb 24003.00 EcdVrb -19443.00 EcdVrb -26248.05 EcdVrb 1262.00 Eog50Vr 1703.70 Eog50Vr 767.05 E50335-7 1035.52 E50335-7 -1068.40 E50165 -1442.34 E50165 13824.00 E50335-7 18662.40 E50335-7 -18723.00 EcdVrb -25276.05 EcdVrb 13627.00 E50335-7 18396.45 E50335-7 -21537.00 EcdVrb -29074.95 EcdVrb 14612.00 E50025 19726.20 E50025 17416.00 3BfinVr 22241.25 Eog50_12 11099.00 3BfinVo 14449.05 GrEog1Vrb 3994.50 E50275 5392.58 E50275 12371.00 EcdVrb 16700.85 EcdVrb 3228.20 EcdVrb 4358.07 EcdVrb 11389.00 GrEog1Voc 15375.15 GrEog1Voc 3196.60 GrEog1Voc 4315.41 GrEog1Voc 18006.00 Eog50_12 24308.10 Eog50_12 5508.70 Eog50_12 7436.75 Eog50_12 16864.00 3BfinVr -22407.30 EcdVrb -5599.80 EcdVrb -7559.73 EcdVrb 17280.00 3BfinVr 21274.65 EcdVrb 5272.70 3BfinVr 6726.51 Eog50Vr -11994.00 EcdVrb -13519.00 EcdVrb -10330.00 Eog50Vo 9567.10 E50335-6 8537.20 E50025 8731.10 E50335-8 Stentec, 3-1-03 page 12 Load set calculation DOWEC 6MW 4.3 H. Efdé 1 Hz equivalent signals Of the fatigue load set the following load cases are selected for the optimalisation process: 012, 018, and 024. The most important design parameters are analysed by rain flow counting the signal for damage assessment and the determination of a 1 Hz equivalent signal. This procedure will be repeated for design variations. By comparing values conclusions can be made about the improvement of the design. The results of the calculations of the base line are presented in the following table: R45.04/01.03/03 Stentec, 3-1-03 page 13 Load set calculation DOWEC 6MW H. Efdé Table 11: 1 Hz equivalent signals. Variable Fxn Fyn Fzn Mxn Mxn-r Myn Myn-r Mzn Mzn-r Mxb[1] Mxb[1]-p[01] Mxb[1]-p[02] Mxb[2] Mxb[2]-p[01] Mxb[2]-p[02] Mxb[3] Mxb[3]-p[01] Mxb[3]-p[02] Myb[1] Myb[1]-p[01] Myb[1]-p[02] Myb[2] Myb[2]-p[01] Myb[2]-p[02] Myb[3] Myb[3]-p[01] Myb[3]-p[02] Mzb[1] Mzb[1]-p[01] Mzb[1]-p[02] Mzb[2] Mzb[2]-p[01] Mzb[2]-p[02] Mzb[3] Mzb[3]-p[01] Mzb[3]-p[02] Mxt[01] Mxt[02] Myt[02] Myt[01] Mzt[01] Mzt[02] unit kN kN kN kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm R45.04/01.03/03 1Hz equivalent values matl curve loadcase 012 loadcase 018 loadcase 024 M5 225.83 223.39 260.89 M5 97.53 132.44 189.97 M5 70.93 98.11 151.90 M5 996.69 1447.73 2057.89 M5 1000.47 1455.05 2068.66 M5 4033.16 4804.88 6259.18 M5 4536.22 5165.74 7007.78 M5 4043.47 4834.25 6055.53 M5 4440.72 5251.48 6767.94 M10 6889.11 7290.93 8241.70 M10 5862.38 5930.37 6529.26 M10 1250.12 1334.03 1607.36 M10 6847.18 7272.08 8290.28 M10 5813.91 5917.89 6772.97 M10 1241.85 1331.19 1698.10 M10 6889.11 7309.88 8110.97 M10 5789.97 5838.04 6410.21 M10 1244.32 1313.16 1618.92 M10 6598.19 6991.87 7700.14 M10 7053.24 7575.70 8339.45 M10 2086.02 2107.90 2418.81 M10 6373.89 6267.36 7828.75 M10 6855.52 7142.80 8464.95 M10 2012.14 1926.68 2442.97 M10 6330.85 6692.39 8278.08 M10 6983.19 7455.21 8935.60 M10 1974.70 2020.82 2593.93 M10 127.88 112.81 119.37 M10 127.65 112.35 119.31 M10 65.13 63.08 75.22 M10 123.86 107.82 134.46 M10 123.79 107.79 134.42 M10 64.47 62.35 80.20 M10 130.19 116.58 135.20 M10 130.16 116.54 135.16 M10 64.83 61.92 76.16 M5 8081.77 19713.50 34205.57 M5 1122.98 1534.06 2184.33 M5 4017.79 4894.07 6424.40 M5 28633.63 30868.45 39798.94 M5 4453.22 5459.90 6931.03 M5 4453.22 5459.90 6931.03 Stentec, 3-1-03 page 14 Load set calculation DOWEC 6MW H. Efdé 5 Design variations. By altering Phatas IV input files and/or executables by ECN and Stentec, design variations are created. These are compared with the baseline DOWEC turbine. Not the whole load set is used, but just the load cases that have caused the highest loads. The following load cases are chosen to calculate the design variations: 012, 018, 024, 1B-5Vo, E50025, E50335, EcdVrb, Eog50-12, GrEog1Voc. 5.1 Cost of energy. To clarify the results, the cost of energy per design is calculated according ref. [9], chapter 5. The cost of a wind turbine can be broken down in cost per component. Important design (and cost) drivers of a component are the extreme and fatigue loads it has to withstand. A further break down is achieved by weighing the several loads. By comparing load changes with the baseline configuration an estimation can be made about the change in cost of the wind turbine. Table 12: Influence of parameters on wind turbine cost. cost of wind turbine component (%) design driver load parameter blade 6 extreme flat moment Myb[1]-p[01] fatigue edge moment 1Hz-Mxb[2]-p[01] gearbox 5 average torque Mxn mean tower 16 extreme tilt moment foot Myt[01] fatigue tilt moment top 1Hz-Myt[02] component cost contribution (%) contribution to wind turbine cost (%) 25 25 1.5 1.5 75 3.75 30 20 4.8 3.2 If the change in annual yield is known as well, the cost of energy can be calculated by dividing the wind turbine cost by the yield: Influence of design variation on cost of energy = (change in wind turbine cost) (change in annual yield) It must be noted that these variations are one dimensional and therefore very crude. For example a tip speed variation would be more effective with a blade design adapted to that speed. But in this case the only change is the tip speed. The results should not be judged for their values, but used as a guideline to further develop the 6MW DOWEC. 5.2 Structural pitch. By changing the position and rotation of the girders in the blades, the stiffness properties are changed. The changed behaviour of the blades should result in smaller tip deflection and a decrease of fatigue and extreme loads. 4 redesigns (ref [10]) are calculated : • tr+5-5, girders 0.5o rotated, at tip girder suction side 0.5m to aft and girder pressure side 0.5 m forward. • tt+5, girders 0.5o rotated, at tip girder suction side and girder pressure side 0.5 m aft. R45.04/01.03/03 Stentec, 3-1-03 page 15 Load set calculation DOWEC 6MW H. Efdé • tt+5-5, girders 0.5o rotated, at root girder suction side 0.5m forward and girder pressure side 0.5 m aft. • tt-5+5, girders 0.5o rotated, at root girder suction side 0.5m to aft and girder pressure side 0.5 m forward. The modified turbine models are tested with load cases 008, 012, 018 and 024, 231 and 234. Load case 231 is a stochastic windspeed of 12 m/s with –20o yaw, 234 a stochastic windspeed of 25 m/s with –20o yaw. To prevent interference of the blades with the turbine, the dynamic behaviour of the tower has been switched off. Also the baseline loadcases have been recalculated with tower dynamics off. This explains the difference in baseline loads in the table below, compared to the other variations.The results of the simulations are stored on CD C45.04/01.03/03 . The extreme and fatigue tables can be found in Appendix D as well. 5.2.1 Cost of energy. The calculation of the cost of energy can only be based on the fatigue and extreme loads of the blades. Gearbox loads, tower loads and energy production are not taken into account because the aerodynamics of the blades are not changed and the tower dynamics are off. Therefore it is assumed that these parameters have not changed. Based on the changed loads the results in relative turbine costs are as follows: Table 13: Structural pitch, cost of energy. relative relative relative relative turbine turbine turbine turbine blade parameter baseline tt-5+5 costs tr+5-5 costs tt+5 costs tt+5-5 costs kNm % % % % % % % % Myb[1]-p[01] 15535.00 0.70 0.01 3.40 0.05 0.70 0.01 3.70 0.06 1Hz-Mxb[1]-p[01] 8327.10 1.05 0.02 -0.60 -0.01 0.90 0.01 -12.00 -0.18 total 0.03 total 0.04 total 0.02 total -0.12 The influence of the design variations on the cost of energy is similar to the relative turbine costs. R45.04/01.03/03 Stentec, 3-1-03 page 16 Load set calculation DOWEC 6MW 5.3 H. Efdé Tower eigenfrequencies. The influence of the tower eigenfrequencies on the turbine behaviour is investigated by creating 8 new tower models with the following eigenfrequencies: 0.150, 0.175, 0.200, 0.225, 0.250, 0.300, 0.350 and 0.400 Hz. The clamping stiffness and material properties of the baseline tower were modified iteratively to alter the eigenfrequency. The frequencies were calculated with Phatas IV. The results of the load case calculations can be found on CD C45.04/01.03/03. The extreme and fatigue tables can be found in Appendix E as well. 5.3.1 Cost of energy. Compared to the baseline gearbox loads and annual energy production have not changed. Only blade and tower loads were used to determine the change in turbine costs. When comparing the towers the following table can be made: Table 14: Tower eigenfrequencies, cost of energy. relative relative relative relative twrfreq turbine twrfreq turbine twrfreq turbine twrfreq turbine parameter baseline 0.150 costs 0.175 costs 0.200 costs 0.225 costs blade kNm % % % % % % % % Myb[1]-p[01] 18006.00 -8.83 -0.13 -5.53 -0.08 -2.69 -0.04 -0.45 -0.01 1Hz-Mxb[2]-p[01] 6772.97 -6.11 -0.09 -4.27 -0.06 -3.37 -0.05 -1.07 -0.02 tower Myt[01] 1Hz-Myt[02] -281560.00 6424.40 -21.52 -3.53 total -1.03 -12.35 -0.11 -0.61 -0.59 -0.02 -4.31 -3.71 -0.21 -0.12 -0.62 -0.81 -0.03 -0.03 total -0.76 total -0.42 total -0.08 -1.37 relative relative relative relative twrfreq turbine twrfreq turbine twrfreq turbine twrfreq turbine parameter baseline 0.250 costs 0.300 costs 0.350 costs 0.400 costs blade kNm % % % % % % % % Myb[1]-p[01] 18006.00 0.12 0.00 -0.16 0.00 -1.26 -0.02 -1.19 -0.02 1Hz-Mxb[2]-p[01] 6772.97 -0.36 -0.01 -0.12 0.00 0.00 0.00 -0.95 -0.01 tower Myt[01] 1Hz-Myt[02] -281560.00 6424.40 -1.14 -1.20 -0.05 -0.04 -6.89 0.00 -0.33 -28.50 0.00 -1.99 total -0.10 total -0.33 total -1.37 -24.63 -0.06 -2.57 -1.18 -0.08 total -1.30 -1.45 The influence of the design variations on the cost of energy is similar to the relative turbine costs. What this table doesn’t show is a resonance of the tower with the 0.200 e.f. The 1P oscillation happens at 0.200 * 60 = 12rpm. Since this is very close to the nominal rpm of 11.844rpm, considerable fatigue damage is the result. The DOWEC wind turbine cuts out at 14rpm, so the lowest possible tower e.f. should be above 14 / 60 = 0.233Hz. R45.04/01.03/03 Stentec, 3-1-03 page 17 Load set calculation DOWEC 6MW H. Efdé Plots in Appendix I show the behaviour of several towers. 5.4 Turbine control. Three alternative controls are modelled (ref. [11]) and calculated, a High Tip Speed (HTS), Low Tip Speed (LTS) and a Peak Shave (PS) control. The HTS turbine runs with a nominal speed of 12.58 rpm at Vr=11.7 m/s. The LTS turbine runs with 10.36 rpm at Vr=12.3 m/s. The first eigenfrequency of the tower of the HTS control turbine is increased from 0.242 to 0.257 Hz. This will prevent undesired excitations due to the higher nominal speed. The PS control does not change the rpm, but limits the maximum axial force on the hub in this case by opening the blade pitch 2 degrees at Vr. The design of the PS control is based on ref. [15]. The results of the load case calculations can be found on CD C45.04/01.03/03. The extreme and fatigue tables can be found in Appendix F as well. 5.4.1 Cost of energy. For the cost of energy of the HTS and LTS control the average gearbox torque and the annual production is calculated. The average gearbox torque is determined by calculating the average torque of the generator power curve from the Phatas input file “DowecHTS.inp” and “DowecLTS.inp”. Phatas IV is used to create a PV curve of the HTS and LTS control. Consequently with the Phatas post processing program “Eprod” the annual production is calculated. The results are presented in the table below. Table 15: HTS and LTS control, cost of energy. High Tip relative Low Tip relative Speed turbine Speed turbine parameter baseline control costs control costs Blade kNm % % % % Myb[1]-p[01] 18006.00 2.15 0.03 -16.28 -0.24 1Hz-Mxb[2]-p[01] 6740.51 0.72 0.01 -8.45 -0.13 gearbox Mxn mean tower Myt[01] 1Hz-Myt[02] 30400.28 -5.34 -0.20 3.45 0.13 -281560.00 6372.64 4.94 4.86 0.24 0.16 -17.98 -9.81 -0.86 -0.31 total 0.24 total -1.42 annual production baseline HTS change (%) LTS change (%) Gwh 25.4014 25.5353 0.53 24.656 -2.93 HTS control, change in cost of energy (%) LTS control, change in cost of energy (%) R45.04/01.03/03 - 0.29 1.47 Stentec, 3-1-03 page 18 Load set calculation DOWEC 6MW H. Efdé For the PS control the generator torque table is not changed. Therefore only the blade- and tower parameters and the annual production is taken into account for the calculation of the cost of energy. The results are presented in the table below. Table 16, PS control, cost of energy. Peak relative Shave turbine parameter baseline control costs Blade kNm % % Myb[1]-p[01] 18006 -4.69 -0.07 1Hz-Mxb[2]-p[01] 6740.51 -0.48 -0.01 Tower Myt[01] 1Hz-Myt[02] -281560 6372.64 -0.18 -0.20 total annual production Gwh -0.01 -0.01 -0.09 change baseline PS (%) 25.4014 25.0053 -1.56 PS control, change in cost of energy (%) 1.44 It was expected that the PS control would give greater benefits. Analysis of the load cases and the results show that the axial force (Fxn) is only reduced with 6.10% at loadcase 12PS, compared to the baseline loadcase 12. When running a simple test loadcase with a linear changing wind from 4 to 25 m/s, the Fxn at Vr is even higher than that of the base line as can be seen in Appendix J. It must be concluded that the present peak shave control for the 6MW DOWEC does not work properly. It must be revised and tested prior to drawing conclusions. R45.04/01.03/03 Stentec, 3-1-03 page 19 Load set calculation DOWEC 6MW 5.5 H. Efdé Tapered blade. ECN has designed a blade with more taper than the baseline blade, ref [12]. The cone angle is changed to –2.4o. The input file “DowecR6.inp” is revised to reflect the new blade design. The turbine control is the same as the baseline. The results of the load case calculations can be found on CD C45.04/01.03/03. The extreme and fatigue tables can be found in Appendix G as well. 5.5.1 Cost of energy. The blade- and tower parameters and the annual production are taken into account for the calculation of the cost of energy. The average gearbox torque is similar to the baseline. It does not have an effect on the cost of energy. The results are presented in the table below. Table 17, Tapered blade, cost of energy. Tapered relative parameter baseline blade turbine costs blade kNm % % Myb[1]-p[01] 18006.00 -2.69 -0.04 1Hz-Mxb[2]-p[01] 6740.51 -0.24 0.00 tower Myt[01] 1Hz-Myt[02] -281560.00 6372.64 -2.21 -1.00 -0.11 -0.03 total -0.18 Tapered annual production baseline blade change (%) Gwh 25.4014 25.394 -0.03 Tapered blade, change in cost of energy R45.04/01.03/03 - 0.15 Stentec, 3-1-03 page 20 Load set calculation DOWEC 6MW 5.6 H. Efdé Low Lambda control. With the Low Lambda control (LL) the rated (wished) rotorspeed changes with the magnitude of the wind. At high wind the rotorspeed is lower than for example at Vr. This will decrease fatigue damage, but also makes it possible to keep the wind turbine in operation at windspeeds higher than Vo (baseline). An other option is to investigate the effects of an increased rated rotorspeed from Vi until Vr. For this design variation no new turbine control is programmed, but output from the turbine control variations (par. 5.4) has been used to create new load sets. The following load sets have been created: Table 18: Load sets contents baseline loadcase occurrence(%) mean windspeed P mean [kW] 012 5.44 12 5623 018 1.44 18 5867 024 0.17 24 5899 027 0.05 27 5806 Low Lambda 1 loadcase occurrence(%) mean windspeed P mean [kW] 012 5.44 12 5623 018LTS 1.44 18 5732 024LTS 0.17 24 5740 027LL 0.05 27 5424 Low Lambda 2 loadcase occurrence(%) mean windspeed P mean [kW] 012 5.44 12 5623 018 1.44 18 5867 024LTS 0.17 24 5740 027LL 0.05 27 5424 Low Lambda 3 loadcase occurrence(%) mean windspeed P mean [kW] 012HTS 5.44 12 5410 018 1.44 18 5867 024 0.17 24 5899 027LL 0.05 27 5424 Low Lambda 4 loadcase occurrence(%) mean windspeed P mean [kW] 012HTS 5.44 12 5410 018HTS 1.44 18 5812 024 0.17 24 5899 027LL 0.05 27 5424 Low Lambda 5 loadcase occurrence(%) mean windspeed P mean [kW] 012HTS 5.44 12 5410 018 1.44 18 5867 024LTS 0.17 24 5740 027LL 0.05 27 5424 R45.04/01.03/03 Stentec, 3-1-03 page 21 Load set calculation DOWEC 6MW H. Efdé The standard load cases apply to a rotorspeed of 11.84 rpm, the LTS (Low Tip Speed) load cases 10.36 rpm and the HTS (High Tip Speed) loadcases to 12.58 rpm. For this Low Lambda analysis load case 027LL was generated to assess the fatigue damage of a LTS turbine at a stochastic windspeed of 27 m/s (wished rotorspeed at 10.36 rpm). The occurrence of the load case is based on a Rayleigh distribution with a Vm of 9.2 m/s. The Pmean is the average generator power of the load case and is used to calculate the yearly production. The results of the load case calculations can be found on CD C45.04/01.03/03. The 1Hz equivalent fatigue tables can be found in Appendix H as well. 5.6.1 Cost of energy. The blade- and tower parameters and the annual production are taken into account for the calculation of the cost of energy. The annual production is calculated by ADAP using the occurance and mean power from table 18. The average gearbox torque could not be used, since the rotorspeed-shaft torque table differs per loadcase. Also extreme values are not available because the loadsets consisted only of fatigue loadcases. The results are presented in the table below. Table 19: Cost of energy Low Lambda control variations. 100% loadcase kNm blade Myb[i]-p[01] 1Hz-Mxb[i]-p[01] -18006.00 Eog50-12 4483.82 all Low Lambda 1 change Low Low Low change in Low Lambda change in Lambda 3 change in Lambda 4 change in Lambda 5 change in cost 2 change cost change cost change cost change cost % % % % % % % % % % n.a. n.a. -1.72 -0.03 n.a. -0.71 -0.01 n.a. 1.46 0.02 n.a. 1.79 0.03 0.89 0.01 gearbox Mxn mean n.a. n.a. n.a. n.a. n.a. tower Myt[01] -281560.00 GrEog1Voc 1Hz-Myt[02] 2558.84 all annual production baseline MWh LL1 loadset, LL2 loadset, LL3 loadset, LL4 loadset, LL5 loadset, LL1 3532.3 n.a. n.a. n.a. n.a. -0.14 -1.83 -0.06 0.73 0.02 3.95 0.13 0.32 0.01 total -0.16 total -0.07 total 0.05 total 0.15 total 0.02 change (%) LL2 3511.4 n.a. -4.33 -0.59 influence on cost of energy influence on cost of energy influence on cost of energy influence on cost of energy influence on cost of energy change (%) LL3 3528.4 -0.11 change (%) LL4 3429.4 -2.91 change (%) LL5 3422.4 -3.11 change (%) 3427 -2.98 0.42 0.04 2.76 3.17 2.92 Based on the simplified Low Lambda load sets and the cost of energy model, it can be concluded that only LL1 has a reasonable decrease in fatigue damage. But because the annual production is lower, the cost of energy increases. LL3 to LL5 even cause more fatigue damage than the baseline while production is lower than the baseline. R45.04/01.03/03 Stentec, 3-1-03 page 22 Load set calculation DOWEC 6MW H. Efdé 6 Conclusion. Based on the turbine description of ECN ref. [3] a PhatasIV load set has been generated. With the results of this final load set the components of the turbine can be checked by NEG Micon or ECN for ultimate and fatigue loads according to the IEC and DNV regulations. From the results of the load cases it is shown that the turbine behaviour is conform the load set description given by NEG Micon ref. [2]. But the extreme loads are not in accordance with the expectations. When table 10 is compared with ref. [13] it can be concluded that the maximum tower top tilt moment Myt[02] is 1.7 times higher than calculated statically. The highest tower bottom tilt moment Myt[01] is 2.5 times higher than expected. A possible cause for this large difference might be the ECN modelling that allows short generator overshoots while originally the 6MW was considered to be an absolute highest value. Key load cases are used to calculate DOWEC design variations. Of the most important parameters tables with extreme values and 1Hz equivalent signals can be found on CD C45.04/01.03/03. To make the large amount of data understandable, it has been used to calculate relative turbine costs and changes in cost of energy. It is shown that tower frequency and turbine control have the largest influence on the cost of energy. An increase or decrease in tower frequency of more than 0.1Hz, a lower tipspeed or the use of peak shaving will have a beneficial influence on the cost of energy of the 6MW DOWEC. R45.04/01.03/03 Stentec, 3-1-03 page 23 Load set calculation DOWEC 6MW H. Efdé References. [1] Handbook Reporting Handbook Reporting and Communication and Communication Engineering consultancy Stentec B.V., March 2002, Report nr. R6.20/02..01/02, H.P. Haring, Stentec BV. [2] Load set description DOWEC 6MW Load set description DOWEC 6MW turbine DOWEC-F1W2-JP-02-62/00-P, version 0, 120402, H.F. Veldkamp (NEG Micon), J.M. Peeringa (ECN). [3] DOWEC 6 MW predesign DOWEC 6 MW pre-design. Aero-elastic modelling of the DOWEC 6 MW pre-design in PHATAS. DOWEC-F1W2-HJK-01-046/2, ECN-CX-135, april 2002, H.J.T. Kooijman, C. Lindenburg, D. Winkelaar. [4] Terms of Reference Terms of reference DOWEC, Pre-EET number 10008.doc, 176-FGR0300/V1, F. Goezinne [5] IEC 61400-1ed. 2. IEC 61400-1, second edition, 1999-02 [6] Phatas-IV users manual PHATAS-IV user’s manual, release “jul-2001”, draft, October 15, 2001, C. Lindenburg [7] ADAP manual ADAP manual, R6.20/01.01/01, June 2002, B.F. Boersma, H. Efdé, Stentec B.V. [8] Email B. Hendriks Email DOWEC: load variations, 250602, B. Hendriks, ECN [9] NM3000-LMH46-5 blade design Aerodynamic Parameter Sensitivity Study, ECN-C--00-077, May 2001, C. Lindenburg, E. Bot, H.B. Hendriks, ECN [10] Email H.J. Kooijman Email DOWEC 6MW, sensitivity analysis structural pitch, 040702, H.J. Kooijman, ECN [11] Email J.M. Peeringa Email Alternatieve DOWEC regelingen, 160802, J.M. Peeringa, ECN [12] Tapered LMH-64-5 blade 6MW Blade Variant With Increased Taper, ECN-Wind DOWECNote, August 2002, C. Lindenburg, ECN [13] Data6MWV2.doc Estimated data for 6MWe turbine with 129 m rotor diameter, 291101, F. Goezinne, NEG Micon. [14] DOWEC 6MW design overview DOWEC 6MW design overview, 270602, H. Efdé, Stentec B.V. [15] Ultieme Bladhoek Regeling Eindverslag van het UPC project, Stentec rapport R052.01/01.09.98, 011098, W. Kuik, R.C. Wegerif, Stentec BV R45.04/01.03/03 Stentec, 3-1-03 page 24 Load set calculation DOWEC 6MW Appendix A. H. Efdé Phatas file listing Overview used Phatas files Phatas file name file date phat6mw.exe phpost.exe 030602 070402 blade_6MW_R5.inp DOWEC_6MW_R5.inp dowecR6.inp found_21m.inp defphat 150302 150302 060502 070402 260901 cylin1 cylin2 DU21_A17 DU25_A17 DU30_A17 DU35_A17 DU40_A17 NA64_A17 141101 141101 141101 071201 071201 071201 071201 071201 R45.04/01.03/03 Stentec, 3-1-03 page 25 Load set calculation DOWEC 6MW Appendix C. R45.04/01.03/03 H. Efdé Plot of loadcase GrEog1Voc. Stentec, 3-1-03 page 31 Load set calculation DOWEC 6MW Appendix D. H. Efdé Tables structural pitch. Structural pitch, absolute extreme values 25 m/s, 20 degr. yaw Ldcase: 234 234-tt-5+5 234-tr+5-5 234-tt+5 234-tt+5-5 Change Change Change Change Extreme Extreme in % Extreme in % Extreme in % Extreme in % Variable [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] 7905 7829.3 -1.0 7457.5 -5.7 8063.1 2.0 6645.2 -15.9 Mxb[1]-p[02] 7404.9 7347 -0.8 6993.5 -5.6 7542.1 1.9 6216.8 -16.0 Mxb[1]-p[03] -1398.3 -1467.7 5.0 -1359.7 -2.8 -1433.8 2.5 -1082.7 -22.6 Mxb[2]-p[01] 8055.9 8891.4 10.4 8321.4 3.3 7632.1 -5.3 6509.1 -19.2 Mxb[2]-p[02] 7560 8333.2 10.2 7817 3.4 7157.9 -5.3 6070.8 -19.7 Mxb[2]-p[03] -1402.4 -1479.2 5.5 -1467.5 4.6 -1417.8 1.1 -1242.6 -11.4 Mxb[3]-p[01] 7313.5 7444.5 1.8 7761.7 6.1 7439.1 1.7 6781.6 -7.3 Mxb[3]-p[02] 6836.8 6981.1 2.1 7272.6 6.4 6982.1 2.1 6326.2 -7.5 Mxb[3]-p[03] -1339.2 -1442.1 7.7 -1415.7 5.7 -1489.8 11.2 -1230.2 -8.1 Myb[1]-p[01] 12511 12248 -2.1 12387 -1.0 12536 0.2 12552 0.3 Myb[1]-p[02] 11854 11607 -2.1 11748 -0.9 11871 0.1 11883 0.2 Myb[1]-p[03] 2982.4 3034.2 1.7 3023.4 1.4 3039.8 1.9 2958.6 -0.8 Myb[2]-p[01] 11433 11717 2.5 11577 1.3 11623 1.7 11317 -1.0 Myb[2]-p[02] 10743 11085 3.2 10968 2.1 10997 2.4 10661 -0.8 Myb[2]-p[03] 2669.1 2722.6 2.0 2796.8 4.8 2739.8 2.6 2652.6 -0.6 Myb[3]-p[01] 12280 12552 2.2 12398 1.0 12445 1.3 12259 -0.2 Myb[3]-p[02] 11633 11850 1.9 11710 0.7 11788 1.3 11559 -0.6 Myb[3]-p[03] 2860.6 2908 1.7 2869.4 0.3 2931.1 2.5 2782.8 -2.7 Mxb[1] 8908.3 9552.2 7.2 9172.1 3.0 9305.5 4.5 8542.1 -4.1 Mxb[2] 9757.9 10718 9.8 10142 3.9 9357.3 -4.1 8344.5 -14.5 Mxb[3] 9271.7 9415.5 1.6 9147.8 -1.3 9299.6 0.3 8471.7 -8.6 Myb[1] 11468 11357 -1.0 11783 2.7 11550 0.7 11461 -0.1 Myb[2] 10265 10518 2.5 10552 2.8 10488 2.2 10046 -2.1 Myb[3] 11250 11130 -1.1 11048 -1.8 11300 0.4 10913 -3.0 Tip displ. flap[1] Tip disp. flap[2] Tip disp. flap[3] Tip displ. lag[1] Tip displ. lag[2] Tip displ. lag[3] [mm] -6160.3 -6935.7 -6661.1 3341.6 3481.1 3318 [mm] -5373.7 -6186.9 -5854 3426.9 3555.9 3207.7 -12.8 -10.8 -12.1 2.6 2.1 -3.3 [mm] -5512.3 -6174.8 -5876.7 3387.6 3630.8 3197.7 -10.5 -11.0 -11.8 1.4 4.3 -3.6 [mm] -6042 -6537.1 -6261 3113.6 3233.3 3225.1 -1.9 -5.7 -6.0 -6.8 -7.1 -2.8 [mm] -6245.2 -6736.1 -6597.8 2657.6 2968.2 2771.4 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 32 1.4 -2.9 -1.0 -20.5 -14.7 -16.5 Load set calculation DOWEC 6MW H. Efdé Structural pitch, absolute extreme values 12 m/s, 20 degr. yaw Ldcase: 231 231-tt-5+5 231-tr+5-5 231-tt+5 231-tt+5-5 Change Change Change Change Extreme Extreme in % Extreme in % Extreme in % Extreme in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] -5362.8 -5276.2 -1.6 -5078.4 -5.3 -5391.3 0.5 -5839 8.9 Mxb[1]-p[02] -4986.8 -4913.6 -1.5 -4728.5 -5.2 -5018.8 0.6 -5440.6 9.1 Mxb[1]-p[03] -918.24 -927.21 1.0 -898.64 -2.1 -861.81 -6.1 926.54 0.9 Mxb[2]-p[01] -5305.8 -5551 4.6 -5293 -0.2 -5282.2 -0.4 -5527.1 4.2 Mxb[2]-p[02] -4932.2 -5173.8 4.9 -4925.5 -0.1 -4924.6 -0.2 -5153.4 4.5 Mxb[2]-p[03] -953.12 968.63 1.6 878.78 -7.8 -847.63 -11.1 934.87 -1.9 Mxb[3]-p[01] -5443.8 -5398.3 -0.8 -5119.8 -6.0 -5599.4 2.9 -5500.2 1.0 Mxb[3]-p[02] -5074 -5033.6 -0.8 -4758.3 -6.2 -5214.7 2.8 -5118.5 0.9 Mxb[3]-p[03] -889.79 -943.43 6.0 -845.68 -5.0 824.24 -7.4 940.31 5.7 Myb[1]-p[01] 15319 14976 -2.2 14824 -3.2 15635 2.1 15082 -1.5 Myb[1]-p[02] 14536 14221 -2.2 14081 -3.1 14857 2.2 14310 -1.6 Myb[1]-p[03] 4075.7 4104.1 0.7 4053.2 -0.6 4162.1 2.1 3970.4 -2.6 Myb[2]-p[01] 15711 15742 0.2 15980 1.7 16231 3.3 16143 2.7 Myb[2]-p[02] 14925 14965 0.3 15182 1.7 15416 3.3 15318 2.6 Myb[2]-p[03] 3903.5 4079.6 4.5 4113.5 5.4 4102.2 5.1 3896.3 -0.2 Myb[3]-p[01] 15829 15704 -0.8 15477 -2.2 16334 3.2 15990 1.0 Myb[3]-p[02] 15048 14936 -0.7 14714 -2.2 15527 3.2 15200 1.0 Myb[3]-p[03] 4113.6 4199.5 2.1 4184.5 1.7 4232.4 2.9 4115 0.0 Mxb[1] 6377.8 6580.6 3.2 6356.8 -0.3 6598 3.5 6592.7 3.4 Mxb[2] 6624.5 7264.4 9.7 6761.2 2.1 6627.2 0.0 7026.8 6.1 Mxb[3] 6845.2 6556.3 -4.2 6285.1 -8.2 6726.2 -1.7 6500.9 -5.0 Myb[1] 14480 14604 0.9 14537 0.4 15017 3.7 14422 -0.4 Myb[2] 15335 15110 -1.5 15379 0.3 15827 3.2 15278 -0.4 Myb[3] 15228 14982 -1.6 15183 -0.3 15748 3.4 15532 2.0 Tip displ. flap[1] Tip disp. flap[2] Tip disp. flap[3] Tip displ. lag[1] Tip displ. lag[2] Tip displ. lag[3] [mm] 8056.3 7654.8 8207.2 -1840.4 -1880.9 -1932.4 [mm] 6601.6 6598.2 6783.5 -2366.1 -2666.8 -2349.1 -18.1 -13.8 -17.3 28.6 41.8 21.6 [mm] 6948.4 6936.3 7187.3 -2270.8 -2483.9 -2224.5 -13.8 -9.4 -12.4 23.4 32.1 15.1 [mm] 7251 7101.9 7504.9 -1782.3 -1781.6 -1779.8 -10.0 -7.2 -8.6 -3.2 -5.3 -7.9 [mm] 7265.7 7247.5 7521.5 -1005.4 -1055.4 -990.88 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 33 -9.8 -5.3 -8.4 -45.4 -43.9 -48.7 Load set calculation DOWEC 6MW H. Efdé Structural pitch, absolute extreme values 24 m/s Ldcase: 024 024-tt-5+5 024-tr+5-5 024-tt+5 024-tt+5-5 Change Change Change Change Extreme Extreme in % Extreme in % Extreme in % Extreme in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] 6997.9 7212.7 3.1 7017.9 0.3 6915.7 -1.2 6647.6 -5.0 Mxb[1]-p[02] 6525.9 6747.2 3.4 6555.2 0.4 6431.5 -1.4 6222.2 -4.7 Mxb[1]-p[03] -1616.5 -1647 1.9 -1922.3 18.9 -1699 5.1 -1239.2 -23.3 Mxb[2]-p[01] 7201 7956.7 10.5 7588 5.4 7921.9 10.0 6053.7 -15.9 Mxb[2]-p[02] 6746.8 7408.6 9.8 7061.1 4.7 7452.2 10.5 5638.3 -16.4 Mxb[2]-p[03] -1416.8 -1611.5 13.7 -1513.9 6.9 -1345.2 -5.1 -1129.6 -20.3 Mxb[3]-p[01] 6908.8 7203.9 4.3 6943.7 0.5 6903.5 -0.1 6741.1 -2.4 Mxb[3]-p[02] 6460.8 6716.3 4.0 6468.3 0.1 6475.5 0.2 6297.7 -2.5 Mxb[3]-p[03] -1482.5 -1548.3 4.4 -1360.9 -8.2 -1352 -8.8 -1125.4 -24.1 Myb[1]-p[01] 12224 12331 0.9 12199 -0.2 12574 2.9 12292 0.6 Myb[1]-p[02] 11555 11661 0.9 11542 -0.1 11877 2.8 11618 0.5 Myb[1]-p[03] 2791.3 2805.8 0.5 2836.8 1.6 2858.9 2.4 2805 0.5 Myb[2]-p[01] 10504 11031 5.0 10868 3.5 10525 0.2 10620 1.1 Myb[2]-p[02] 9963.4 10387 4.3 10240 2.8 9907.1 -0.6 9995.5 0.3 Myb[2]-p[03] 2452.4 2446.7 -0.2 2429.5 -0.9 2521.9 2.8 2442.8 -0.4 Myb[3]-p[01] 13315 13650 2.5 13550 1.8 13453 1.0 12993 -2.4 Myb[3]-p[02] 12614 12922 2.4 12842 1.8 12730 0.9 12302 -2.5 Myb[3]-p[03] 3206.1 3286.3 2.5 3273.9 2.1 3216.8 0.3 3087.2 -3.7 Mxb[1] 9196 9044.4 -1.6 9227.4 0.3 9044.6 -1.6 8427.9 -8.4 Mxb[2] 8502.2 8522.7 0.2 8393.3 -1.3 9011.9 6.0 7424.6 -12.7 Mxb[3] 8908.8 9455.5 6.1 9113.3 2.3 8827.7 -0.9 8416 -5.5 Myb[1] 10582 10714 1.2 10783 1.9 11061 4.5 10800 2.1 Myb[2] 10421 10142 -2.7 10771 3.4 9949 -4.5 10255 -1.6 Myb[3] 12338 12647 2.5 12666 2.7 12515 1.4 11713 -5.1 Tip displ. flap[1] Tip disp. flap[2] Tip disp. flap[3] Tip displ. lag[1] Tip displ. lag[2] Tip displ. lag[3] [mm] -4693.9 -5316.8 5221.3 2920.3 2936.3 -2929.4 [mm] -4113.1 -4915.5 4146 -3010.4 2969.6 -3208.2 -12.4 -7.5 -20.6 3.1 1.1 9.5 [mm] -4199.2 -4776.2 4352.7 -2977.8 2935 -3114.9 -10.5 -10.2 -16.6 2.0 0.0 6.3 [mm] -4510.4 -5266.9 -4623.7 2855.6 2844.2 -2818.2 -3.9 -0.9 -11.4 -2.2 -3.1 -3.8 [mm] -4780 -5301.8 4742.6 2437.7 2498.8 2238 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 34 1.8 -0.3 -9.2 -16.5 -14.9 -23.6 Load set calculation DOWEC 6MW H. Efdé Structural pitch, absolute extreme values 18 m/s Ldcase: 018 018-tt-5+5 018-tr+5-5 018-tt+5 018-tt+5-5 Change Change Change Change Extreme Extreme in % Extreme in % Extreme in % Extreme in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] 5701.6 5978.9 4.9 6094 6.9 5828.4 2.2 5503.8 -3.5 Mxb[1]-p[02] 5294.6 5557.3 5.0 5670.1 7.1 5428 2.5 5121.2 -3.3 Mxb[1]-p[03] -1090.5 -1283.5 17.7 -1229.4 12.7 -1185.2 8.7 -1005.1 -7.8 Mxb[2]-p[01] 5614.8 5856.3 4.3 5665.4 0.9 5663.3 0.9 5292.1 -5.7 Mxb[2]-p[02] 5228.1 5463.5 4.5 5265.5 0.7 5270.9 0.8 4937 -5.6 Mxb[2]-p[03] -1117 -1325.6 18.7 -1263.8 13.1 -1208.5 8.2 -970.26 -13.1 Mxb[3]-p[01] 5644.8 5802.1 2.8 5883.2 4.2 5866.6 3.9 5430.7 -3.8 Mxb[3]-p[02] 5253.9 5391.5 2.6 5491.2 4.5 5473.2 4.2 5057.2 -3.7 Mxb[3]-p[03] -1187.8 -1284.7 8.2 -1194.6 0.6 -1216.4 2.4 -957.22 -19.4 Myb[1]-p[01] 12945 13780 6.5 13205 2.0 13092 1.1 13221 2.1 Myb[1]-p[02] 12268 13070 6.5 12520 2.1 12412 1.2 12537 2.2 Myb[1]-p[03] 3025.4 3334.6 10.2 3090 2.1 3078 1.7 3135.7 3.6 Myb[2]-p[01] 11921 12086 1.4 12251 2.8 11978 0.5 12262 2.9 Myb[2]-p[02] 11325 11480 1.4 11620 2.6 11320 0.0 11583 2.3 Myb[2]-p[03] 2806.7 2775.1 -1.1 2823.5 0.6 2816.4 0.3 2796.4 -0.4 Myb[3]-p[01] 14220 14712 3.5 14541 2.3 14340 0.8 14020 -1.4 Myb[3]-p[02] 13474 13972 3.7 13782 2.3 13621 1.1 13305 -1.3 Myb[3]-p[03] 3547.3 3612.7 1.8 3629.4 2.3 3600.5 1.5 3462.3 -2.4 Mxb[1] 7409.6 8071.7 8.9 7781.2 5.0 7499.1 1.2 7603 2.6 Mxb[2] 7753.8 7606.6 -1.9 7574.4 -2.3 7788.7 0.5 7294.7 -5.9 Mxb[3] 8447 8654.8 2.5 8730.9 3.4 8547.5 1.2 8040.7 -4.8 Myb[1] 11574 12281 6.1 11801 2.0 11692 1.0 11877 2.6 Myb[2] 11453 11685 2.0 11564 1.0 11548 0.8 11437 -0.1 Myb[3] 12939 13270 2.6 13214 2.1 12778 -1.2 12580 -2.8 [mm] Tip displ. flap[1] 4956.8 Tip disp. flap[2] 4733.9 Tip disp. flap[3] 6187.8 Tip displ. lag[1] -2424.9 Tip displ. lag[2] -2308.8 Tip displ. lag[3] -2955.4 [mm] 4310.1 3561 4945.3 -2988.8 -2512.9 -3320.6 -13.0 -24.8 -20.1 23.3 8.8 12.4 [mm] 4181 3815.2 5318.5 -2754.6 -2503 -3246.6 -15.7 -19.4 -14.0 13.6 8.4 9.9 [mm] 4413.9 4151.6 5533.5 -2266.6 -2196.4 -2797.2 -11.0 -12.3 -10.6 -6.5 -4.9 -5.4 [mm] 4867.6 4439.1 5574.9 -1585 -1313.4 -1819.3 -1.8 -6.2 -9.9 -34.6 -43.1 -38.4 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 35 Load set calculation DOWEC 6MW H. Efdé Structural pitch, absolute extreme values 12 m/s Ldcase: 012 012-tt-5+5 012-tr+5-5 012-tt+5 012-tt+5-5 Change Change Change Change Extreme Extreme in % Extreme in % Extreme in % Extreme in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] -5368.8 -5577.8 3.9 -5191.9 -3.3 -5389 0.4 -5519 2.8 Mxb[1]-p[02] -5001.4 -5202.4 4.0 -4833.9 -3.3 -5030.2 0.6 -5128 2.5 Mxb[1]-p[03] -963.21 -1004.3 4.3 -856.44 -11.1 871.03 -9.6 977.98 1.5 Mxb[2]-p[01] -5234.2 -5378 2.7 -5087.7 -2.8 -5225.1 -0.2 -5631 7.6 Mxb[2]-p[02] -4859 -5008.5 3.1 -4729.7 -2.7 -4862.8 0.1 -5242 7.9 Mxb[2]-p[03] -875.11 -955.24 9.2 -944.76 8.0 -947.97 8.3 864.32 -1.2 Mxb[3]-p[01] -5448.6 -5583.2 2.5 -5294.3 -2.8 -5666.8 4.0 -5769.5 5.9 Mxb[3]-p[02] -5073.6 -5202.6 2.5 -4924.7 -2.9 -5283.7 4.1 -5375.6 6.0 Mxb[3]-p[03] -975.92 -1029.7 5.5 -861.03 -11.8 -947.64 -2.9 1028.2 5.4 Myb[1]-p[01] 15535 15645 0.7 16064 3.4 15643 0.7 16104 3.7 Myb[1]-p[02] 14788 14883 0.6 15288 3.4 14890 0.7 15304 3.5 Myb[1]-p[03] 4081 4081 0.0 4192.6 2.7 4101.1 0.5 4111.3 0.7 Myb[2]-p[01] 15918 15964 0.3 15866 -0.3 16188 1.7 15043 -5.5 Myb[2]-p[02] 15132 15176 0.3 15082 -0.3 15382 1.7 14306 -5.5 Myb[2]-p[03] 4080 4150.1 1.7 4174.2 2.3 4124 1.1 3946.4 -3.3 Myb[3]-p[01] 16353 16726 2.3 16082 -1.7 16698 2.1 16221 -0.8 Myb[3]-p[02] 15541 15898 2.3 15292 -1.6 15875 2.1 15416 -0.8 Myb[3]-p[03] 4141.9 4290.7 3.6 4276.1 3.2 4283.5 3.4 4163.5 0.5 Mxb[1] 7067.3 6781.8 -4.0 6662 -5.7 6953 -1.6 7018.8 -0.7 Mxb[2] 6716.6 6641.4 -1.1 6596.9 -1.8 6778.8 0.9 6792.1 1.1 Mxb[3] 7026.3 6927.4 -1.4 6800.2 -3.2 6941.7 -1.2 6834 -2.7 Myb[1] 15002 15201 1.3 15147 1.0 15164 1.1 15173 1.1 Myb[2] 15151 15090 -0.4 14860 -1.9 15335 1.2 14357 -5.2 Myb[3] 15356 15701 2.2 15326 -0.2 15725 2.4 15163 -1.3 [mm] Tip displ. flap[1] 8265.7 Tip disp. flap[2] 8121.4 Tip disp. flap[3] 8322.6 Tip displ. lag[1] -2021.8 Tip displ. lag[2] -1969.2 Tip displ. lag[3] -2080.5 [mm] 6650.7 6746.7 7180.2 -2583.6 -2655.2 -2545.9 -19.5 -16.9 -13.7 27.8 34.8 22.4 [mm] 7244.1 7129.8 7418.9 -2530.1 -2512.8 -2475.7 -12.4 -12.2 -10.9 25.1 27.6 19.0 [mm] 7241.6 7238 7533.7 -1936.7 -1920.3 -1923.1 -12.4 -10.9 -9.5 -4.2 -2.5 -7.6 [mm] 7295.6 7005 7348.3 -1074.5 -1144.4 -1078.8 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 36 -11.7 -13.7 -11.7 -46.9 -41.9 -48.1 Load set calculation DOWEC 6MW H. Efdé Structural pitch, absolute extreme values 8 m/s Ldcase: 008 008-tt-5+5 008-tr+5-5 008-tt+5 008-tt+5-5 Change Change Change Change Extreme Extreme in % Extreme in % Extreme in % Extreme in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] -4943.8 -4917.3 -0.5 -4865.6 -1.6 -5005.8 1.3 -5679.2 14.9 Mxb[1]-p[02] -4592 -4571.5 -0.4 -4525.2 -1.5 -4652.9 1.3 -5300.7 15.4 Mxb[1]-p[03] -733.42 831.01 13.3 738.12 0.6 -714.13 -2.6 -912.45 24.4 Mxb[2]-p[01] -4819.9 -5085.7 5.5 -4908.7 1.8 -4859 0.8 -5363.1 11.3 Mxb[2]-p[02] -4481.6 -4726.2 5.5 -4559.7 1.7 -4515.8 0.8 -4994.7 11.4 Mxb[2]-p[03] -737.57 -780.42 5.8 -746.51 1.2 -717.57 -2.7 -856.58 16.1 Mxb[3]-p[01] -5015.9 -4986.4 -0.6 -4854.1 -3.2 -4846 -3.4 -5639.1 12.4 Mxb[3]-p[02] -4667.3 -4638.5 -0.6 -4510.7 -3.4 -4499.1 -3.6 -5260.2 12.7 Mxb[3]-p[03] 713.45 -739.6 3.7 -698.14 -2.1 -709.31 -0.6 -899.04 26.0 Myb[1]-p[01] 11820 12200 3.2 12294 4.0 12229 3.5 11819 0.0 Myb[1]-p[02] 11236 11598 3.2 11690 4.0 11620 3.4 11229 -0.1 Myb[1]-p[03] 3095.2 3181 2.8 3208.6 3.7 3161.8 2.2 3083.1 -0.4 Myb[2]-p[01] 11803 11892 0.8 11839 0.3 11870 0.6 11792 -0.1 Myb[2]-p[02] 11224 11309 0.8 11263 0.3 11296 0.6 11216 -0.1 Myb[2]-p[03] 3137.7 3153 0.5 3154 0.5 3193.2 1.8 3130.5 -0.2 Myb[3]-p[01] 11709 11768 0.5 11817 0.9 11741 0.3 11738 0.2 Myb[3]-p[02] 11140 11197 0.5 11234 0.8 11164 0.2 11173 0.3 Myb[3]-p[03] 3158.3 3218.7 1.9 3231.9 2.3 3225.2 2.1 3179.6 0.7 Mxb[1] 5437.3 6151.4 13.1 5773 6.2 5406.1 -0.6 5901.9 8.5 Mxb[2] 5457.4 5819.4 6.6 5561.4 1.9 5435.7 -0.4 5688.1 4.2 Mxb[3] 5478.2 5615.9 2.5 5391.6 -1.6 5426.9 -0.9 5882.1 7.4 Myb[1] 10962 11339 3.4 11439 4.4 11395 4.0 10961 0.0 Myb[2] 10964 10893 -0.6 10845 -1.1 11024 0.5 10877 -0.8 Myb[3] 10845 11256 3.8 11411 5.2 11212 3.4 10736 -1.0 Tip displ. flap[1] Tip disp. flap[2] Tip disp. flap[3] Tip displ. lag[1] Tip displ. lag[2] Tip displ. lag[3] [mm] 5665.5 5707.8 5883.2 -1453 -1533.2 -1399.3 [mm] 4770.6 4686.8 4878.7 -2150.7 -2122.1 -2037.2 -15.8 -17.9 -17.1 48.0 38.4 45.6 [mm] 5054.7 4905.3 5041.8 -2025.8 -1997.3 -1907.2 [mm] -10.8 5050.5 -14.1 5058.6 -14.3 5193.5 39.4 -1420.7 30.3 -1428.2 36.3 -1396.4 -10.9 -11.4 -11.7 -2.2 -6.8 -0.2 [mm] 5205.5 5063.5 5194.6 -703.18 -686.96 -689.7 -8.1 -11.3 -11.7 -51.6 -55.2 -50.7 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 37 Load set calculation DOWEC 6MW H. Efdé Structural pitch, 1 Hz equivalent values 24 m/s Ldcase 024 024-tt-5+5 024-tr+5-5 024-tt+5 024-tt+5-5 Change Change Change Change in % in % in % in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] 8327.1 8389.2 0.7 8278.1 -0.6 8401.7 0.9 7328.9 -12.0 Mxb[1]-p[02] 7763.9 7807.0 0.6 7700.1 -0.8 7828.8 0.8 6805.8 -12.3 Mxb[1]-p[03] 1586.5 1657.1 4.4 1650.3 4.0 1641.6 3.5 1371.1 -13.6 Mxb[2]-p[01] 8169.9 8414.3 3.0 8169.9 0.0 8253.8 1.0 7179.3 -12.1 Mxb[2]-p[02] 7616.7 7828.8 2.8 7585.9 -0.4 7721.3 1.4 6668.6 -12.4 Mxb[2]-p[03] 1501.0 1710.0 13.9 1611.5 7.4 1587.0 5.7 1297.7 -13.5 Mxb[3]-p[01] 7995.7 8217.6 2.8 8064.4 0.9 7984.3 -0.1 7197.6 -10.0 Mxb[3]-p[02] 7435.5 7647.8 2.9 7485.0 0.7 7445.3 0.1 6692.4 -10.0 Mxb[3]-p[03] 1500.2 1584.7 5.6 1519.6 1.3 1537.5 2.5 1286.7 -14.2 Myb[1]-p[01] 8426.9 8426.9 0.0 8452.2 0.3 8647.1 2.6 8414.3 -0.1 Myb[1]-p[02] 8007.0 8018.5 0.1 8052.9 0.6 8205.6 2.5 7973.0 -0.4 Myb[1]-p[03] 2206.3 2223.7 0.8 2227.3 1.0 2340.3 6.1 2250.4 2.0 Myb[2]-p[01] 8339.4 8439.5 1.2 8401.7 0.7 8529.1 2.3 8229.6 -1.3 Myb[2]-p[02] 7928.0 8052.9 1.6 8018.5 1.1 8041.4 1.4 7807.0 -1.5 Myb[2]-p[03] 2098.5 2207.2 5.2 2148.2 2.4 2208.0 5.2 2156.4 2.8 Myb[3]-p[01] 8823.5 8949.8 1.4 8851.2 0.3 8893.2 0.8 8782.1 -0.5 Myb[3]-p[02] 8414.3 8503.3 1.1 8439.5 0.3 8477.7 0.8 8376.7 -0.4 Myb[3]-p[03] 2303.0 2363.9 2.6 2360.9 2.5 2381.9 3.4 2254.0 -2.1 Mxb[1] 8837.3 8851.2 0.2 8837.3 0.0 8949.8 1.3 8029.9 -9.1 Mxb[2] 8660.4 8741.2 0.9 8529.1 -1.5 8660.4 0.0 7796.2 -10.0 Mxb[3] 8503.3 8782.1 3.3 8660.4 1.8 8529.1 0.3 7961.7 -6.4 Myb[1] 7894.7 7916.9 0.3 7807.0 -1.1 7950.5 0.7 7679.1 -2.7 Myb[2] 7872.6 7995.7 1.6 8052.9 2.3 8041.4 2.1 7928.0 0.7 Myb[3] 8426.9 8376.7 -0.6 8327.1 -1.2 8741.2 3.7 8217.6 -2.5 Material M10 K100 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 38 Load set calculation DOWEC 6MW H. Efdé Structural pitch, 1 Hz equivalent values 18 m/s Ldcase 018 018-tt-5+5 018-tr+5-5 018-tt+5 018-tt+5-5 Change Change Change Change in % in % in % in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] 7097.7 7455.2 5.0 7179.3 1.1 7206.9 1.5 6708.4 -5.5 Mxb[1]-p[02] 6567.4 6931.5 5.5 6660.7 1.4 6652.8 1.3 6232.6 -5.1 Mxb[1]-p[03] 1235.6 1404.0 13.6 1267.6 2.6 1315.9 6.5 1129.6 -8.6 Mxb[2]-p[01] 7018.0 7396.4 5.4 7151.9 1.9 7062.1 0.6 6676.5 -4.9 Mxb[2]-p[02] 6499.1 6855.5 5.5 6652.8 2.4 6521.7 0.3 6198.3 -4.6 Mxb[2]-p[03] 1237.8 1384.3 11.8 1315.0 6.2 1274.8 3.0 1098.9 -11.2 Mxb[3]-p[01] 6974.5 7348.1 5.4 7097.7 1.8 7071.0 1.4 6582.8 -5.6 Mxb[3]-p[02] 6424.9 6822.3 6.2 6590.5 2.6 6552.1 2.0 6084.3 -5.3 Mxb[3]-p[03] 1204.9 1321.2 9.7 1251.8 3.9 1254.3 4.1 1085.4 -9.9 Myb[1]-p[01] 7035.6 7357.7 4.6 7197.6 2.3 7000.6 -0.5 7044.4 0.1 Myb[1]-p[02] 6676.5 7009.3 5.0 6855.5 2.7 6668.6 -0.1 6629.3 -0.7 Myb[1]-p[03] 1735.3 1820.7 4.9 1787.1 3.0 1802.0 3.8 1752.6 1.0 Myb[2]-p[01] 6847.2 6830.5 -0.2 6855.5 0.1 6897.6 0.7 6789.3 -0.8 Myb[2]-p[02] 6499.1 6506.6 0.1 6499.1 0.0 6552.1 0.8 6388.4 -1.7 Myb[2]-p[03] 1740.7 1698.1 -2.4 1749.9 0.5 1773.6 1.9 1735.8 -0.3 Myb[3]-p[01] 7319.4 7504.9 2.5 7357.7 0.5 7328.9 0.1 7234.7 -1.2 Myb[3]-p[02] 6983.2 7161.0 2.5 7009.3 0.4 6983.2 0.0 6880.7 -1.5 Myb[3]-p[03] 1801.4 1877.2 4.2 1871.6 3.9 1883.5 4.6 1800.3 -0.1 Mxb[1] 7494.9 7839.7 4.6 7596.2 1.4 7585.9 1.2 7290.9 -2.7 Mxb[2] 7406.1 7721.3 4.3 7545.2 1.9 7465.1 0.8 7133.7 -3.7 Mxb[3] 7485.0 7817.9 4.4 7575.7 1.2 7637.4 2.0 7124.7 -4.8 Myb[1] 6476.6 6847.2 5.7 6575.0 1.5 6582.8 1.6 6446.9 -0.5 Myb[2] 6309.5 6439.6 2.1 6446.9 2.2 6316.6 0.1 6395.6 1.4 Myb[3] 6692.4 6740.5 0.7 6863.9 2.6 6732.4 0.6 6469.2 -3.3 Material M10 K100 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 39 Load set calculation DOWEC 6MW H. Efdé Structural pitch, 1 Hz equivalent values 12 m/s Ldcase 012 012-tt-5+5 012-tr+5-5 012-tt+5 012-tt+5-5 Change Change Change Change in % in % in % in % Variable [kNm] [kNm] [kNm] [kNm] [kNm] Mxb[1]-p[01] 6590.5 6740.5 2.3 6499.1 -1.4 6521.7 -1.0 6684.4 1.4 Mxb[1]-p[02] 6097.5 6239.5 2.3 6000.0 -1.6 6025.7 -1.2 6177.9 1.3 Mxb[1]-p[03] 1109.6 1119.1 0.9 1067.9 -3.8 1096.4 -1.2 1149.0 3.6 Mxb[2]-p[01] 6514.1 6708.4 3.0 6529.3 0.2 6514.1 0.0 6660.7 2.2 Mxb[2]-p[02] 6025.7 6198.3 2.9 6006.4 -0.3 6000.0 -0.4 6171.1 2.4 Mxb[2]-p[03] 1082.2 1114.2 3.0 1061.4 -1.9 1084.5 0.2 1121.1 3.6 Mxb[3]-p[01] 6559.7 6740.5 2.8 6491.6 -1.0 6575.0 0.2 6684.4 1.9 Mxb[3]-p[02] 6064.6 6218.9 2.5 5987.2 -1.3 6071.2 0.1 6184.7 2.0 Mxb[3]-p[03] 1109.6 1130.8 1.9 1069.7 -3.6 1099.4 -0.9 1165.4 5.0 Myb[1]-p[01] 7079.9 7445.3 5.2 7475.0 5.6 6914.5 -2.3 7071.0 -0.1 Myb[1]-p[02] 6748.6 7026.8 4.1 7124.7 5.6 6590.5 -2.3 6740.5 -0.1 Myb[1]-p[03] 1758.6 1852.4 5.3 1910.3 8.6 1809.5 2.9 1757.0 -0.1 Myb[2]-p[01] 7097.7 7253.3 2.2 7151.9 0.8 7124.7 0.4 6645.0 -6.4 Myb[2]-p[02] 6748.6 6880.7 2.0 6797.5 0.7 6797.5 0.7 6302.5 -6.6 Myb[2]-p[03] 1810.1 1839.7 1.6 1809.0 -0.1 1843.9 1.9 1743.4 -3.7 Myb[3]-p[01] 6637.1 7044.4 6.1 7197.6 8.4 6897.6 3.9 6830.5 2.9 Myb[3]-p[02] 6302.5 6700.4 6.3 6781.1 7.6 6575.0 4.3 6499.1 3.1 Myb[3]-p[03] 1692.0 1807.2 6.8 1831.3 8.2 1732.1 2.4 1708.9 1.0 Mxb[1] 6906.0 7088.8 2.6 6872.3 -0.5 6906.0 0.0 7044.4 2.0 Mxb[2] 6897.6 7079.9 2.6 6948.7 0.7 6872.3 -0.4 7018.0 1.7 Mxb[3] 6940.1 7097.7 2.3 6872.3 -1.0 6906.0 -0.5 7035.6 1.4 Myb[1] 6373.9 6708.4 5.2 6567.4 3.0 6446.9 1.1 6432.2 0.9 Myb[2] 6432.2 6506.6 1.2 6424.9 -0.1 6484.1 0.8 6090.9 -5.3 Myb[3] 6084.3 6281.4 3.2 6373.9 4.8 6191.5 1.8 6218.9 2.2 Material M10 K100 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 40 Load set calculation DOWEC 6MW Appendix E. H. Efdé Tables tower frequencies Tower frequencies, absolute extreme values 1B-5Vo Variable unit Fxn kN baseline 754.16 _150 715.38 % -5.14 _175 678.37 -10.05 682.74 -9.47 743.98 -1.35 740.90 -1.76 701.44 -6.99 692.38 -8.19 687.82 -8.80 Fyn kN 226.72 223.38 -1.47 188.32 -16.94 436.98 92.74 263.39 16.17 197.56 -12.86 211.77 -6.59 197.62 -12.84 217.80 -3.93 Fzn kN -972.67 -980.39 0.79 -959.43 -1.36 -973.42 0.08 -984.76 1.24 -973.42 0.08 -1006.50 3.48 -1038.10 6.73 -1034.30 6.34 Mxn kNm 7399.00 7138.90 -3.52 7427.00 0.38 7352.90 -0.62 7327.40 -0.97 7337.40 -0.83 7436.60 0.51 7343.40 -0.75 7312.60 -1.17 Mxn-r kNm 7411.90 7153.10 -3.49 7442.90 0.42 7367.60 -0.60 7341.70 -0.95 7349.90 -0.84 7449.70 0.51 7354.10 -0.78 7322.90 -1.20 Myn kNm -10044.00 -10407.00 3.61 -10337.00 2.92 -9656.60 -3.86 -10097.00 0.53 -10181.00 1.36 -10692.00 6.45 -11246.00 11.97 -10992.00 9.44 Myn-r kNm -10694.00 -10271.00 -3.96 -9869.70 -7.71 -10354.00 -3.18 -10862.00 1.57 -10779.00 0.79 -10607.00 -0.81 -10403.00 -2.72 -10458.00 -2.21 Mzn kNm -10830.00 11759.00 8.58 11422.00 5.47 11969.00 10.52 11242.00 3.80 -10831.00 0.01 11144.00 2.90 11036.00 1.90 11043.00 1.97 Mzn-r kNm -11132.00 -12245.00 10.00 -12469.00 12.01 -12945.00 16.29 -11609.00 4.28 -10953.00 -1.61 -10998.00 -1.20 -11128.00 -0.04 -11389.00 2.31 Mxb[1] kNm 8565.80 7775.00 -9.23 8209.50 -4.16 8186.30 -4.43 8518.60 -0.55 8459.90 -1.24 8136.10 -5.02 7340.30 -14.31 7388.20 -13.75 Mxb[1]-p[01] kNm -5831.90 -5508.60 -5.54 -5224.90 -10.41 -5251.50 -9.95 5776.40 -0.95 -5841.80 0.17 -5823.90 -0.14 -5653.20 -3.06 -5718.60 -1.94 Mxb[1]-p[02] kNm 1655.80 1342.00 -18.95 1470.50 -11.19 1505.30 -9.09 1692.30 2.20 1658.10 0.14 1645.60 -0.62 1543.60 -6.78 1594.50 -3.70 Mxb[2] kNm 9271.40 10001.00 7.87 9599.40 3.54 8864.00 -4.39 9077.10 -2.10 9206.70 -0.70 9385.10 1.23 9491.60 2.38 9423.10 1.64 Mxb[2]-p[01] kNm -5266.30 -5678.80 7.83 -5604.40 6.42 -5426.50 3.04 -5183.60 -1.57 -5312.40 0.88 -5607.90 6.49 -5574.30 5.85 -5565.80 5.69 Mxb[2]-p[02] kNm -1134.90 -1316.00 15.96 -1318.20 16.15 -1315.00 15.87 -1209.90 6.61 -1134.60 -0.03 -1234.10 8.74 -1289.60 13.63 -1264.60 11.43 Mxb[3] kNm 6321.20 5988.90 -5.26 6064.90 -4.05 6099.00 -3.52 6058.00 -4.16 6384.50 1.00 6444.80 1.96 6369.80 0.77 6412.20 1.44 Mxb[3]-p[01] kNm -6438.30 -5143.60 -20.11 -5088.60 -20.96 -5987.40 -7.00 -6442.90 0.07 -6459.50 0.33 -6622.50 2.86 -6185.40 -3.93 -6236.90 -3.13 Mxb[3]-p[02] kNm -1569.00 1181.00 -24.73 -1209.80 -22.89 -1449.90 -7.59 -1569.90 0.06 -1564.00 -0.32 -1597.50 1.82 -1582.00 0.83 -1585.30 1.04 Myb[1] kNm 7783.60 7472.70 -3.99 7132.60 -8.36 8002.60 2.81 7633.50 -1.93 7831.80 0.62 7700.80 -1.06 8174.40 5.02 8207.20 5.44 Myb[1]-p[01] kNm 9875.40 8747.30 -11.42 9107.00 -7.78 9146.90 -7.38 9784.00 -0.93 9808.80 -0.67 9495.90 -3.84 8918.50 -9.69 8839.90 -10.49 Myb[1]-p[02] kNm 1858.10 -1844.6 -0.73 -1806 -2.80 1792.20 -3.55 1897.90 2.14 1853.50 -0.25 1798.80 -3.19 1583.60 -14.77 1595.50 -14.13 Myb[2] kNm 13858.00 13011.00 -6.11 12895.00 -6.95 12989.00 -6.27 14015.00 1.13 13747.00 -0.80 13488.00 -2.67 13235.00 -4.50 13234.00 -4.50 Myb[2]-p[01] kNm 15152.00 14240.00 -6.02 14457.00 -4.59 14548.00 -3.99 15166.00 0.09 14994.00 -1.04 14865.00 -1.89 14752.00 -2.64 14711.00 -2.91 Myb[2]-p[02] kNm 4004.70 3772.20 -5.81 3764.60 -6.00 3950.70 -1.35 3997.80 -0.17 3990.70 -0.35 3905.30 -2.48 3995.60 -0.23 3970.80 -0.85 Myb[3] kNm 8487.10 8577.80 1.07 8948.90 5.44 8925.30 5.16 8496.30 0.11 8380.80 -1.25 8065.30 -4.97 7992.40 -5.83 8079.90 -4.80 Myb[3]-p[01] kNm 8286.80 8309.10 0.27 8394.20 1.30 8224.40 -0.75 8237.10 -0.60 8347.90 0.74 8245.20 -0.50 8324.50 0.45 8339.50 0.64 Myb[3]-p[02] kNm 2065.60 1909.20 -7.57 2003.50 -3.01 1997.90 -3.28 2092.50 1.30 2084.80 0.93 2007.80 -2.80 2014.10 -2.49 2020.60 -2.18 Mzb[1] kNm -200.46 -178.76 -10.83 -206.11 2.82 -193.68 -3.38 -198.13 -1.16 -199.48 -0.49 -198.99 -0.73 -203.78 1.66 -202.49 1.01 Mzb[1]-p[01] kNm -200.50 -178.80 -10.82 -206.16 2.82 -193.73 -3.38 -198.17 -1.16 -199.52 -0.49 -199.04 -0.73 -203.81 1.65 -202.53 1.01 Mzb[1]-p[02] kNm -122.62 -118.85 -3.07 -128.79 5.03 -124.19 1.28 -121.77 -0.69 -123.42 0.65 -123.65 0.84 -127.88 4.29 -126.74 3.36 Mzb[2] kNm 106.43 109.61 2.99 117.50 10.40 120.99 13.68 107.38 0.89 105.76 -0.63 103.69 -2.57 101.05 -5.05 99.66 -6.36 Mzb[2]-p[01] kNm 106.26 109.49 3.04 117.34 10.43 120.83 13.71 107.20 0.88 105.60 -0.62 103.52 -2.58 100.93 -5.02 99.51 -6.35 Mzb[2]-p[02] kNm -78.21 -74.74 -4.44 -79.65 1.84 -87.22 11.52 -77.38 -1.06 -75.76 -3.13 -74.64 -4.56 -72.32 -7.53 -71.43 -8.67 Mzb[3] kNm -193.56 -149.21 -22.91 -153.14 -20.88 -177.91 -8.09 -186.62 -3.59 -196.89 1.72 -200.48 3.58 -202.63 4.69 -197.86 2.22 Mzb[3]-p[01] kNm -193.60 -149.25 -22.91 -153.17 -20.88 -177.94 -8.09 -186.65 -3.59 -196.93 1.72 -200.51 3.57 -202.67 4.68 -197.91 2.23 Mzb[3]-p[02] kNm -126.19 -113.98 -9.68 -116.55 -7.64 -125.60 -0.47 -123.40 -2.21 -121.46 -3.75 -120.83 -4.25 -124.85 -1.06 -121.78 -3.49 Mxt[01] kNm 65292.00 67397.00 3.22 51518.00 73534.00 12.62 56468.00 -13.51 54254.00 -16.91 45858.00 -29.76 52650.00 -19.36 Mxt[02] kNm 7840.50 8070.60 2.93 7769.00 -0.91 9177.60 17.05 7696.60 -1.84 7550.70 -3.70 7440.50 -5.10 7604.10 -3.02 7673.00 -2.14 Myt[02] kNm -10690.00 -11453.00 7.14 -11188.00 4.66 -10710.00 0.19 -10970.00 2.62 -10985.00 2.76 -11473.00 7.32 -12573.00 17.61 -12207.00 14.19 Myt[01] kNm 132960.00 112660.01 -15.27 107310.01 -19.29 99828.01 -4.39 107120.01 -19.43 81547.00 -38.67 85959.01 -35.35 Mzt[01] kNm -12024.00 11476.00 -4.56 11000.00 -8.52 11943.00 -0.67 -12076.00 0.43 -12216.00 1.60 -11847.00 -1.47 -11456.00 -4.72 -11412.00 -5.09 Mzt[02] kNm -12024.00 11476.00 -4.56 11000.00 -8.52 11943.00 -0.67 -12076.00 0.43 -12216.00 1.60 -11847.00 -1.47 -11456.00 -4.72 -11412.00 -5.09 Tip displ. flap[1] mm -4645.10 -5139.10 10.63 -5059.70 8.93 -4525.30 -2.58 -4445.30 -4.30 -4596.10 -1.05 -4663.70 0.40 -4767.70 2.64 -4897.10 5.43 Tip disp. flap[2] mm 6194.50 5754.60 -7.10 5584.70 -9.84 5930.10 -4.27 6132.60 -1.00 6201.40 0.11 6018.90 -2.83 6078.20 -1.88 6030.10 -2.65 Tip disp. flap[3] mm -5266.10 -4530.00 -13.98 -4441.30 -15.66 -4996.90 -5.11 -5258.10 -0.15 -5184.30 -1.55 -5075.60 -3.62 -4935.30 -6.28 -4953.70 -5.93 Tip displ. lag[1] mm 2729.60 3390.20 24.20 3390.50 24.21 2974.70 8.98 2814.00 3.09 2680.50 -1.80 2399.00 -12.11 2537.30 -7.04 2490.30 -8.77 Tip displ. lag[2] mm -3111.70 -3229.80 3.80 -3191.00 2.55 -3162.40 1.63 -3102.30 -0.30 -3129.00 0.56 -3068.00 -1.40 -3080.20 -1.01 -3052.70 -1.90 Tip displ. lag[3] mm 2500.40 2536.20 1.43 1980.30 -20.80 2176.30 -12.96 2445.10 -2.21 2479.70 -0.83 2629.60 5.17 2692.70 7.69 2696.70 7.85 X-defl[01] mm 0.00 0.00 X-defl[02] mm 1288.40 Y-defl[01] mm 0.00 Y-defl[02] mm -722.62 2606.90 102.34 0.00 -1646.60 127.87 % _200 46.94 1380.80 _250 7.17 -2599.60 259.75 % -3.40 127120.01 0.00 0.00 36.36 % -24.92 128440.01 0.00 0.00 -985.35 _225 -21.10 178530.02 173.43 0.00 1893.20 % 1442.50 11.96 0.00 -900.77 24.65 _300 0.00 1148.10 _350 0.00 -10.89 0.00 -584.96 % 735.00 -347.12 _400 0.00 -42.95 0.00 -19.05 % 276.92 0.00 -78.51 0.00 -51.96 -210.68 % 321.29 -70.84 -256.03 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 -75.06 0.00 page 41 -64.57 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, absolute extreme values EcdVrb Variable unit Fxn kN baseline 1083.70 _150 1059.60 % -2.22 _175 1073.70 -0.92 1055.20 -2.63 1082.50 -0.11 1083.70 0.00 1082.40 -0.12 1078.50 -0.48 1078.70 -0.46 Fyn kN 345.01 316.22 -8.34 311.03 -9.85 330.86 -4.10 297.51 -13.77 318.21 -7.77 346.30 0.37 254.83 -26.14 261.81 -24.12 Fzn kN -972.91 -921.30 -5.30 -916.47 -5.80 -919.89 -5.45 -931.19 -4.29 -924.70 -4.96 -919.82 -5.46 -910.72 -6.39 -910.59 -6.41 Mxn kNm 6606.60 6608.30 0.03 6597.00 -0.15 6585.10 -0.33 6617.70 0.17 6598.40 -0.12 6647.90 0.63 6627.30 0.31 6631.90 0.38 Mxn-r kNm 6611.40 6612.80 0.02 6601.50 -0.15 6589.40 -0.33 6622.50 0.17 6603.00 -0.13 6653.00 0.63 6632.50 0.32 6636.90 0.39 Myn kNm -19807.00 -17094.00 -13.70 -16932.00 -14.52 -15711.00 -20.68 -15883.00 -19.81 -16133.00 -18.55 -16024.00 -19.10 -16268.00 -17.87 -16317.00 -17.62 Myn-r kNm 17780.00 16574.00 -6.78 17085.00 -3.91 15044.00 -15.39 15070.00 -15.24 15286.00 -14.03 15273.00 -14.10 15372.00 -13.54 15321.00 -13.83 Mzn kNm -11417.00 -12350.00 8.17 -12305.00 7.78 -12025.00 5.33 -12064.00 5.67 -12095.00 5.94 -11859.00 3.87 -11915.00 4.36 -11785.00 3.22 Mzn-r kNm -19443.00 -16518.00 -15.04 -16943.00 -12.86 -17637.00 -9.29 -17678.00 -9.08 -17746.00 -8.73 -17633.00 -9.31 -17758.00 -8.67 -17840.00 -8.24 Mxb[1] kNm 5973.50 7010.30 17.36 6252.10 4.66 5910.80 -1.05 6189.70 3.62 6045.10 1.20 5701.10 -4.56 6014.50 0.69 5996.20 0.38 Mxb[1]-p[01] kNm 8724.70 9795.80 12.28 9585.70 9.87 8957.60 2.67 9707.50 11.26 9317.00 6.79 8789.00 0.74 8976.50 2.89 8953.80 2.63 Mxb[1]-p[02] kNm 2316.70 2492.70 7.60 2461.90 6.27 2271.50 -1.95 2490.10 7.48 2365.10 2.09 2337.60 0.90 2374.80 2.51 2361.60 1.94 Mxb[2] kNm 7662.00 6491.30 -15.28 6569.40 -14.26 6554.30 -14.46 6630.60 -13.46 6634.80 -13.41 6639.30 -13.35 6615.10 -13.66 6617.00 -13.64 Mxb[2]-p[01] kNm 12371.00 9177.80 -25.81 9868.50 -20.23 9748.90 -21.20 9997.90 -19.18 10215.00 -17.43 10324.00 -16.55 10264.00 -17.03 10284.00 -16.87 Mxb[2]-p[02] kNm 3228.20 2496.80 -22.66 2676.40 -17.09 2592.90 -19.68 2635.60 -18.36 2640.80 -18.20 2832.80 -12.25 2760.80 -14.48 2755.50 -14.64 Mxb[3] kNm -6290.20 6588.50 4.74 6067.50 -3.54 6109.20 -2.88 6118.80 -2.72 6132.90 -2.50 6152.90 -2.18 6179.40 -1.76 6178.60 -1.77 Mxb[3]-p[01] kNm 8187.70 9547.10 16.60 9509.30 16.14 -6808.90 -16.84 8304.00 1.42 7843.90 -4.20 8004.20 -2.24 -6998.90 -14.52 -7049.70 -13.90 Mxb[3]-p[02] kNm 2209.80 2613.40 18.26 2519.80 14.03 1832.80 -17.06 2341.40 5.96 2192.30 -0.79 2166.20 -1.97 -1898.40 -14.09 -1893.50 -14.31 Myb[1] kNm -18723.00 -18136.00 -3.14 -18586.00 -0.73 -17702.00 -5.45 -18807.00 0.45 -18761.00 0.20 -18213.00 -2.72 -17498.00 -6.54 -17612.00 -5.93 Myb[1]-p[01] kNm -16048 14281.00 -11.01 -14890 -7.22 -14521 -9.52 -15171 -5.46 -15163 -5.51 -15063 -6.14 -14500 -9.65 -14609 -8.97 Myb[1]-p[02] kNm -5259.4 -4815.8 -8.43 -4994 -5.05 -4821.9 -8.32 -5057.2 -3.84 -5031.8 -4.33 -4917.3 -6.50 -4791.8 -8.89 -4829.5 -8.17 Myb[2] kNm -21537.00 -15329.00 -28.82 -16431.00 -23.71 -16012.00 -25.65 -16419.00 -23.76 -16722.00 -22.36 -16732.00 -22.31 -17087.00 -20.66 -17057.00 -20.80 Myb[2]-p[01] kNm -16598 14846.00 -10.56 15039.00 -9.39 14410.00 -13.18 15164.00 -8.64 15118.00 -8.92 15061.00 -9.26 14932.00 -10.04 14943.00 -9.97 Myb[2]-p[02] kNm -5599.8 4576.70 -18.27 4650.80 -16.95 4483.90 -19.93 4721.20 -15.69 4715.40 -15.79 4708.60 -15.91 4682.20 -16.39 4682.80 -16.38 Myb[3] kNm 15600.00 -16422.00 5.27 -15707.00 0.69 15123.00 -3.06 15564.00 -0.23 15609.00 0.06 15675.00 0.48 15665.00 0.42 15667.00 0.43 Myb[3]-p[01] kNm 15759.00 15502.00 -1.63 15569.00 -1.21 15324.00 -2.76 15719.00 -0.25 15766.00 0.04 15829.00 0.44 15829.00 0.44 15830.00 0.45 Myb[3]-p[02] kNm 4852.80 4778.30 -1.54 4794.60 -1.20 4710.80 -2.93 4842.80 -0.21 4855.00 0.05 4876.00 0.48 4881.80 0.60 4881.90 0.60 Mzb[1] kNm 490.22 435.10 -11.24 431.54 -11.97 386.89 -21.08 420.94 -14.13 422.82 -13.75 381.32 -22.21 387.35 -20.98 388.35 -20.78 Mzb[1]-p[01] kNm 489.89 434.76 -11.25 431.21 -11.98 386.64 -21.08 420.59 -14.15 422.54 -13.75 381.01 -22.23 387.11 -20.98 388.11 -20.78 Mzb[1]-p[02] kNm 170.65 -192.17 12.61 -183.71 7.65 -168.36 -1.34 -175.74 2.98 -173.92 1.92 -178.42 4.55 -171.88 0.72 -171.21 0.33 Mzb[2] kNm 735.27 346.50 -52.87 385.95 -47.51 408.11 -44.50 363.80 -50.52 407.02 -44.64 452.37 -38.48 419.84 -42.90 420.30 -42.84 Mzb[2]-p[01] kNm 734.82 346.26 -52.88 385.68 -47.51 407.86 -44.50 363.50 -50.53 406.73 -44.65 452.06 -38.48 419.52 -42.91 419.98 -42.85 Mzb[2]-p[02] kNm 264.44 -211.94 -19.85 -207.25 -21.63 -198.66 -24.88 -211.71 -19.94 -211.31 -20.09 -205.66 -22.23 -209.54 -20.76 -209.82 -20.65 Mzb[3] kNm -261.79 429.78 64.17 371.26 41.82 -253.01 -3.35 -258.23 -1.36 -234.51 -10.42 -241.04 -7.93 -247.23 -5.56 -247.82 -5.34 Mzb[3]-p[01] kNm -261.83 429.52 64.05 371.02 41.70 -253.05 -3.35 -258.25 -1.37 -234.54 -10.42 -241.08 -7.92 -247.28 -5.56 -247.87 -5.33 Mzb[3]-p[02] kNm -182.14 -175.49 -3.65 -186.67 2.49 -165.77 -8.99 -168.10 -7.71 -158.11 -13.19 -161.23 -11.48 -165.43 -9.17 -165.40 -9.19 Mxt[01] kNm -54353.00 -50924.00 -6.31 -50512.00 -7.07 -68351.00 25.75 -42791.00 -21.27 -49086.00 -9.69 -50864.00 -6.42 -52335.00 -3.71 -53593.00 -1.40 Mxt[02] kNm 6752.50 6725.00 -0.41 6693.50 -0.87 6633.50 -1.76 6761.00 0.13 6731.10 -0.32 6759.80 0.11 6693.40 -0.88 6710.10 -0.63 Myt[02] kNm -22697.00 -19706.00 -13.18 -19117.00 -15.77 -18663.00 -17.77 -18917.00 -16.65 -18974.00 -16.40 -18509.00 -18.45 -18380.00 -19.02 -18461.00 -18.66 Myt[01] kNm -184930.02 -198430.02 7.30 -175200.02 -5.26 -150490.00 -18.62 -153040.00 -17.24 -143860.00 -22.21 -127270.01 -35.41 119620.01 -35.32 Mzt[01] kNm -12445.00 -13768.00 10.63 -13488.00 8.38 -13198.00 6.05 -13192.00 6.00 -13082.00 5.12 -13050.00 4.86 -13068.00 5.01 -13116.00 5.39 Mzt[02] kNm -12445.00 -13768.00 10.63 -13488.00 8.38 -13198.00 6.05 -13192.00 6.00 -13082.00 5.12 -13050.00 4.86 -13068.00 5.01 -13116.00 5.39 Tip displ. flap[1] mm -11994.00 -12127.00 1.11 -12467.00 3.94 -12115.00 1.01 -12561.00 4.73 -12506.00 4.27 -12312.00 2.65 -11967.00 -0.23 -12049.00 0.46 Tip disp. flap[2] mm -13519.00 -10919.00 -19.23 -11560.00 -14.49 -11201.00 -17.15 -11339.00 -16.13 -11507.00 -14.88 -11625.00 -14.01 -11752.00 -13.07 -11734.00 -13.20 Tip disp. flap[3] mm 8701.10 -11364.00 30.60 -11154.00 28.19 -8892.90 2.20 -9974.00 14.63 -9548.60 9.74 -9339.50 7.34 -8857.60 1.80 -8816.80 1.33 Tip displ. lag[1] mm 7354.10 4435.70 -39.68 4636.60 -36.95 4428.20 -39.79 4655.30 -36.70 4686.90 -36.27 4566.30 -37.91 4498.00 -38.84 4527.90 -38.43 Tip displ. lag[2] mm 6087.10 4161.10 -31.64 4277.40 -29.73 3634.60 -40.29 3741.90 -38.53 3726.60 -38.78 3777.90 -37.94 3898.80 -35.95 3891.20 -36.07 Tip displ. lag[3] mm 5859.00 4097.20 -30.07 4055.50 -30.78 3140.40 -46.40 3840.90 -34.44 3695.60 -36.92 3331.10 -43.15 3181.10 -45.71 3179.30 -45.74 X-defl[01] mm 0.00 0.00 X-defl[02] mm -2049.80 Y-defl[01] mm 0.00 Y-defl[02] mm 546.94 -4880.60 138.10 0.00 1227.10 124.36 % _200 0.00 -3393.40 _225 0.00 65.55 0.00 887.04 % -2316.40 950.93 _250 0.00 13.01 0.00 62.18 % -1898.50 481.90 _300 0.00 -7.38 0.00 73.86 % -1508.50 425.37 _350 -26.41 -993.22 341.10 _400 0.00 -51.55 0.00 -22.23 % -31.18 119450.01 0.00 0.00 -11.89 % -466.19 0.00 -77.26 -516.17 0.00 -37.63 190.32 Stentec, 3-1-03 -74.82 0.00 -65.20 219.51 NOTE: gamma = 1 R45.04/01.03/03 % page 42 -59.87 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, absolute extreme values Eog50_12 Variable unit Fxn kN baseline 1260.50 _150 1170.40 % -7.15 1225.30 -2.79 1261.00 0.04 1265.90 0.43 1257.70 -0.22 1236.60 -1.90 -1231.30 -2.32 -1233.80 -2.12 Fyn kN 65.24 -32.56 -50.09 28.15 -56.85 80.02 22.65 63.18 -3.16 68.30 4.69 49.62 -23.94 81.73 25.28 80.41 23.25 Fzn kN -849.91 -847.23 -0.32 -822.85 -3.18 -853.82 0.46 -846.38 -0.42 -849.03 -0.10 -861.30 1.34 -842.18 -0.91 -841.91 -0.94 Mxn kNm 6788.90 6643.50 -2.14 6732.60 -0.83 6819.70 0.45 6813.10 0.36 6772.80 -0.24 6797.70 0.13 6803.50 0.22 6812.10 0.34 Mxn-r kNm 6796.80 6649.00 -2.17 6739.30 -0.85 6827.80 0.46 6821.20 0.36 6780.70 -0.24 6805.70 0.13 6811.70 0.22 6820.40 0.35 Myn kNm -5587.50 2548.80 -54.38 1950.60 -65.09 -5021.20 -10.14 -5275.50 -5.58 -5653.00 1.17 -5895.80 5.52 -4660.50 -16.59 -4929.70 -11.77 Myn-r kNm -4434.80 2404.70 -45.78 2296.20 -48.22 -4531.50 2.18 -4591.30 3.53 -4296.40 -3.12 4093.40 -7.70 -3750.00 -15.44 -3833.90 -13.55 Mzn kNm -4047.20 2376.10 -41.29 2397.40 -40.76 -4398.10 8.67 -4213.40 4.11 -3989.70 -1.42 3626.70 -10.39 -2584.80 -36.13 -2737.30 -32.37 Mzn-r kNm -6403.70 3255.00 -49.17 2683.70 -58.09 -6111.60 -4.56 -6085.90 -4.96 -6378.40 -0.40 -6237.50 -2.60 -4718.20 -26.32 -5013.30 -21.71 Mxb[1] kNm 6471.50 6085.30 -5.97 6204.20 -4.13 6327.20 -2.23 6435.90 -0.55 6486.70 0.23 6521.70 0.78 6479.40 0.12 6486.40 0.23 Mxb[1]-p[01] kNm 8743.80 -4754.50 -45.62 -4919.70 -43.73 9584.90 9.62 9225.70 5.51 8599.10 -1.65 9342.00 6.84 8422.80 -3.67 8620.50 -1.41 Mxb[1]-p[02] kNm 2395.20 944.01 -60.59 958.40 -59.99 2583.40 7.86 2491.80 4.03 2386.00 -0.38 2588.20 8.06 2391.10 -0.17 2450.30 2.30 Mxb[2] kNm 5695.30 5692.10 -0.06 5696.20 0.02 5688.90 -0.11 5681.50 -0.24 5704.40 0.16 5777.10 1.44 5806.00 1.94 5795.90 1.77 Mxb[2]-p[01] kNm 11520.00 5086.00 -55.85 -5284.80 -54.13 11257.00 -2.28 11109.00 -3.57 11754.00 2.03 11795.00 2.39 11597.00 0.67 11674.00 1.34 Mxb[2]-p[02] kNm 3036.60 1149.00 -62.16 1125.70 -62.93 3026.50 -0.33 2921.90 -3.78 3121.40 2.79 3099.00 2.05 3062.50 0.85 3039.10 0.08 Mxb[3] kNm 5347.60 5871.00 9.79 6045.30 13.05 5309.30 -0.72 5338.40 -0.17 5346.40 -0.02 5346.90 -0.01 5351.30 0.07 5349.40 0.03 Mxb[3]-p[01] kNm 6807.80 -4913.60 -27.82 -4777.30 -29.83 5240.30 -23.03 5819.70 -14.51 6912.00 1.53 6791.50 -0.24 7171.50 5.34 7177.80 5.43 Mxb[3]-p[02] kNm 2182.50 -760.58 -65.15 -820.19 -62.42 1663.30 -23.79 1956.40 -10.36 2148.70 -1.55 2156.60 -1.19 2163.50 -0.87 2173.10 -0.43 Myb[1] kNm 18110.00 16413.00 -9.37 17023.00 -6.00 17566.00 -3.00 18024.00 -0.47 18134.00 0.13 18094.00 -0.09 17919.00 -1.05 17930.00 -0.99 Myb[1]-p[01] kNm 18006.00 16416.00 -8.83 17010.00 -5.53 17521.00 -2.69 17925.00 -0.45 18027.00 0.12 17978.00 -0.16 17779.00 -1.26 17791.00 -1.19 Myb[1]-p[02] kNm 5508.70 4987.80 -9.46 5157.20 -6.38 5297.30 -3.84 5469.70 -0.71 5522.30 0.25 5546.50 0.69 5499.70 -0.16 5500.30 -0.15 Myb[2] kNm 15815.00 15097.00 -4.54 15283.00 -3.36 15556.00 -1.64 15783.00 -0.20 15837.00 0.14 -16037.00 1.40 -16126.00 1.97 -16141.00 2.06 Myb[2]-p[01] kNm 15647.00 15030.00 -3.94 15184.00 -2.96 15407.00 -1.53 15608.00 -0.25 15675.00 0.18 15745.00 0.63 15725.00 0.50 15725.00 0.50 Myb[2]-p[02] kNm 4775.80 4600.50 -3.67 4641.10 -2.82 4704.40 -1.50 4762.00 -0.29 4783.80 0.17 4818.70 0.90 4821.80 0.96 4820.70 0.94 Myb[3] kNm 16475.00 14529.00 -11.81 15467.00 -6.12 16051.00 -2.57 16441.00 -0.21 16455.00 -0.12 16257.00 -1.32 15997.00 -2.90 16011.00 -2.82 Myb[3]-p[01] kNm 15337.00 13700.00 -10.67 14547.00 -5.15 15073.00 -1.72 15337.00 0.00 15303.00 -0.22 15037.00 -1.96 14717.00 -4.04 14744.00 -3.87 Myb[3]-p[02] kNm 4833.20 4338.70 -10.23 4505.00 -6.79 4679.90 -3.17 4810.70 -0.47 4833.90 0.01 4797.50 -0.74 4718.60 -2.37 4722.60 -2.29 Mzb[1] kNm 339.46 139.77 -58.83 135.28 -60.15 364.76 7.45 351.67 3.60 332.80 -1.96 422.18 24.37 406.46 19.74 417.19 22.90 Mzb[1]-p[01] kNm 339.25 139.58 -58.86 135.14 -60.17 364.57 7.46 351.47 3.60 332.58 -1.97 421.95 24.38 406.22 19.74 416.94 22.90 Mzb[1]-p[02] kNm -131.22 -68.92 -47.48 -61.78 -52.92 -136.83 4.28 -132.67 1.11 -130.39 -0.63 160.42 22.25 155.76 18.70 160.07 21.99 Mzb[2] kNm 485.38 122.43 -74.78 134.14 -72.36 428.89 -11.64 411.77 -15.17 506.41 4.33 447.87 -7.73 446.82 -7.94 442.62 -8.81 Mzb[2]-p[01] kNm 485.14 122.28 -74.79 133.98 -72.38 428.66 -11.64 411.56 -15.17 506.17 4.33 447.65 -7.73 446.54 -7.96 442.35 -8.82 Mzb[2]-p[02] kNm 191.49 -64.68 -66.22 -62.18 -67.53 141.98 -25.86 162.79 -14.99 201.05 4.99 178.66 -6.70 173.72 -9.28 178.67 -6.69 Mzb[3] kNm 251.46 164.36 -34.64 170.98 -32.01 189.10 -24.80 239.12 -4.91 245.42 -2.40 296.28 17.82 292.60 16.36 290.62 15.57 Mzb[3]-p[01] kNm 251.25 164.19 -34.65 170.77 -32.03 188.92 -24.81 238.91 -4.91 245.20 -2.41 296.05 17.83 292.36 16.36 290.39 15.58 Mzb[3]-p[02] kNm -98.61 -67.75 -31.30 -69.79 -29.23 -93.74 -4.94 -97.14 -1.49 -99.02 0.42 -102.69 4.14 -101.18 2.61 -102.02 3.46 Mxt[01] kNm -53142.00 38587.00 -27.39 40820.00 -23.19 58505.00 10.09 -55207.00 3.89 -51975.00 -2.20 -45452.00 -14.47 44286.00 -16.66 42765.00 -19.53 Mxt[02] kNm 7484.70 7202.10 -3.78 7421.90 -0.84 7778.80 3.93 7526.50 0.56 7463.50 -0.28 7457.80 -0.36 7406.10 -1.05 7420.80 -0.85 Myt[02] kNm -8710.20 -3766.60 -56.76 -2750.10 -68.43 -8022.70 -7.89 -8222.70 -5.60 -8737.10 0.31 -8552.70 -1.81 -6574.60 -24.52 -6920.90 -20.54 Myt[01] kNm -21.30 178390.02 -30.33 -260830.02 1.87 -254090.02 -0.77 -254880.02 -0.46 -244400.02 -4.55 -201160.02 -21.44 -208590.02 -18.54 Mzt[01] kNm -4078.80 -2298.10 -43.66 -1838.70 -54.92 -4512.60 10.64 -4226.50 3.62 -4022.70 -1.38 3765.80 -7.67 -2618.70 -35.80 -2767.30 -32.15 Mzt[02] kNm -4078.80 -2298.10 -43.66 -1838.70 -54.92 -4512.60 10.64 -4226.50 3.62 -4022.70 -1.38 3765.80 -7.67 -2618.70 -35.80 -2767.30 -32.15 Tip displ. flap[1] mm 10095.00 8954.60 -11.30 9322.50 -7.65 9627.80 -4.63 10006.00 -0.88 10124.00 0.29 10182.00 0.86 10079.00 -0.16 10079.00 -0.16 Tip disp. flap[2] mm -9710.40 8182.20 -15.74 8273.70 -14.80 -9393.00 -3.27 -9564.30 -1.50 -9783.00 0.75 -9833.70 1.27 -10033.00 3.32 -10035.00 3.34 Tip disp. flap[3] mm -9231.10 7658.10 -17.04 7871.20 -14.73 -8761.10 -5.09 -9102.40 -1.39 -9273.00 0.45 -9405.60 1.89 -9393.70 1.76 -9406.70 1.90 Tip displ. lag[1] mm 4678.60 -2231.40 -52.31 -2268.50 -51.51 4423.50 -5.45 4536.30 -3.04 4726.60 1.03 4784.40 2.26 4850.60 3.68 4840.80 3.47 Tip displ. lag[2] mm 4297.30 -1819.30 -57.66 -1822.10 -57.60 4473.80 4.11 4403.90 2.48 4376.40 1.84 4526.30 5.33 4526.80 5.34 4531.10 5.44 Tip displ. lag[3] mm 5028.80 -1995.40 -60.32 -2112.60 -57.99 4937.40 -1.82 5047.40 0.37 5041.80 0.26 4822.90 -4.09 4711.30 -6.31 4732.70 -5.89 X-defl[01] mm 0.00 0.00 X-defl[02] mm -2663.00 4876.20 83.11 3318.10 24.60 -3827.80 43.74 -2994.40 12.44 -2516.00 -5.52 -1753.00 -34.17 -768.49 -71.14 -872.38 Y-defl[01] mm 0.00 0.00 Y-defl[02] mm 541.48 -981.64 -256050.02 201510.02 _175 % _200 0.00 -812.41 _225 0.00 0.00 81.29 % -910.28 _250 0.00 0.00 50.04 % 621.54 _300 0.00 0.00 68.11 % 503.49 _350 0.00 0.00 14.79 % 325.75 _400 0.00 0.00 -7.02 % 0.00 0.00 -39.84 -157.97 % -70.83 -169.25 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 -67.24 0.00 page 43 -68.74 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, absolute extreme values GrEog1Voc Variable unit Fxn kN baseline 1021.80 _150 789.80 % -22.71 _175 844.56 % -17.35 _200 905.23 -11.41 991.11 -3.00 1020.60 -0.12 1066.90 4.41 -1060.90 3.83 -1061.70 3.90 Fyn kN -169.41 -148.65 -12.25 -139.93 -17.40 -196.00 15.70 -175.49 3.59 -161.49 -4.68 -154.45 -8.83 -138.49 -18.25 -134.19 -20.79 Fzn kN -832.81 -829.03 -0.45 -834.32 0.18 -838.82 0.72 -837.41 0.55 -840.73 0.95 -844.75 1.43 -875.49 5.12 -875.62 5.14 Mxn kNm 7125.50 6892.80 -3.27 7015.80 -1.54 6971.10 -2.17 6969.90 -2.18 6991.60 -1.88 7033.10 -1.30 6919.80 -2.89 6910.80 -3.01 Mxn-r kNm 7132.30 6904.50 -3.19 7021.80 -1.55 6983.20 -2.09 6982.50 -2.10 7005.40 -1.78 7048.40 -1.18 6934.90 -2.77 6925.80 -2.90 Myn kNm 8918.30 7672.40 -13.97 8194.20 -8.12 8473.70 -4.99 8768.60 -1.68 9148.20 2.58 8899.20 -0.21 8882.90 -0.40 8968.00 0.56 Myn-r kNm -7610.50 -6604.40 -13.22 -6794.30 -10.72 -7243.00 -4.83 -7725.00 1.50 -7300.30 -4.08 -7063.40 -7.19 7035.20 -7.56 6838.80 -10.14 Mzn kNm -6638.60 -7891.10 18.87 -7933.40 19.50 -7378.80 11.15 -6753.80 1.74 -6709.10 1.06 -5664.10 -14.68 -4770.90 -28.13 -5099.00 -23.19 Mzn-r kNm -8863.60 -7735.50 -12.73 -8203.40 -7.45 -8446.80 -4.70 -8706.30 -1.77 -9089.70 2.55 -8995.90 1.49 -8886.10 0.25 -8969.30 1.19 Mxb[1] kNm -6555.60 -6048.90 -7.73 -6404.70 -2.30 -6826.70 4.14 -6606.00 0.77 -6574.00 0.28 -6445.00 -1.69 -6989.20 6.61 -7087.00 8.11 Mxb[1]-p[01] kNm 5917.30 7316.50 23.65 6889.30 16.43 6020.10 1.74 6045.30 2.16 5748.30 -2.86 5799.00 -2.00 8390.30 41.79 8325.60 40.70 Mxb[1]-p[02] kNm 1860.60 2468.90 32.69 2370.10 27.38 2146.80 15.38 1921.50 3.27 1890.80 1.62 2013.60 8.22 2637.00 41.73 2595.80 39.51 Mxb[2] kNm 5374.40 5581.50 3.85 5567.10 3.59 5539.40 3.07 5354.40 -0.37 5383.20 0.16 5459.70 1.59 5510.00 2.52 5559.60 3.45 Mxb[2]-p[01] kNm 9879.60 6784.40 -31.33 7324.90 -25.86 7816.00 -20.89 9230.20 -6.57 9992.30 1.14 11345.00 14.83 9723.20 -1.58 9768.80 -1.12 Mxb[2]-p[02] kNm 2653.60 1843.70 -30.52 1938.20 -26.96 2034.30 -23.34 2456.70 -7.42 2702.80 1.85 3077.30 15.97 2794.60 5.31 2775.40 4.59 Mxb[3] kNm 5821.50 6000.80 3.08 5861.30 0.68 5791.60 -0.51 5784.40 -0.64 5821.40 0.00 5895.30 1.27 5910.90 1.54 5881.40 1.03 Mxb[3]-p[01] kNm 11389.00 9248.80 -18.79 9812.10 -13.85 10246.00 -10.04 10975.00 -3.64 11549.00 1.40 11849.00 4.04 11594.00 1.80 11691.00 2.65 Mxb[3]-p[02] kNm 3196.60 2687.80 -15.92 2829.30 -11.49 2908.70 -9.01 3111.60 -2.66 3253.30 1.77 3227.50 0.97 3096.90 -3.12 3136.40 -1.88 Myb[1] kNm -12621.00 -13427.00 6.39 -13108.00 3.86 -12677.00 0.44 -12390.00 -1.83 -12853.00 1.84 -13288.00 5.28 -16133.00 27.83 -16089.00 27.48 Myb[1]-p[01] kNm -12395 11460.00 -7.54 11581.00 -6.57 -11806 -4.75 -12066 -2.65 -12511 0.94 -12691 2.39 -13853 11.76 -13952 12.56 Myb[1]-p[02] kNm -4493.2 -4302.8 -4.24 -4334.9 -3.52 -4379.8 -2.52 -4413 -1.78 -4546.1 1.18 -4517 0.53 -4824.5 7.37 -4838.7 7.69 Myb[2] kNm -10652.00 7816.30 -26.62 -7921.90 -25.63 -8684.80 -18.47 -10110.00 -5.09 -10806.00 1.45 -12064.00 13.26 -11088.00 4.09 -11031.00 3.56 Myb[2]-p[01] kNm 7048.90 8063.30 14.39 7894.10 11.99 7474.90 6.04 7087.10 0.54 7056.10 0.10 7082.30 0.47 8429.30 19.58 8410.00 19.31 Myb[2]-p[02] kNm -2139.5 -2776.5 29.77 -2527 18.11 -2206.9 3.15 -2123.8 -0.73 -2114.3 -1.18 -2228 4.14 -2856.5 33.51 -2788.9 30.35 Myb[3] kNm -15365.00 -11368.00 -26.01 -12371.00 -19.49 -13328.00 -13.26 -14850.00 -3.35 -15346.00 -0.12 -16146.00 5.08 -14159.00 -7.85 -14381.00 -6.40 Myb[3]-p[01] kNm 11051.00 8669.30 -21.55 9155.80 -17.15 9562.40 -13.47 10702.00 -3.16 10977.00 -0.67 11899.00 7.67 10984.00 -0.61 11118.00 0.61 Myb[3]-p[02] kNm -3818.1 -2874.1 -24.72 -3092.6 -19.00 -3315.9 -13.15 -3730 -2.31 -3782.3 -0.94 -4074.5 6.72 -3341 -12.50 -3378.5 -11.51 Mzb[1] kNm -222.96 324.63 45.60 301.18 35.08 267.58 20.01 -221.45 -0.68 -216.69 -2.81 270.55 21.34 404.81 81.56 409.27 83.56 Mzb[1]-p[01] kNm -223.00 324.38 45.46 300.93 34.95 267.33 19.88 -221.50 -0.67 -216.73 -2.81 270.27 21.20 404.46 81.37 408.93 83.38 Mzb[1]-p[02] kNm -165.80 -154.96 -6.54 -157.47 -5.02 -159.82 -3.61 -163.70 -1.27 -165.74 -0.04 -174.40 5.19 -161.75 -2.44 -163.47 -1.41 Mzb[2] kNm 209.39 -198.28 -5.31 -199.40 -4.77 -200.74 -4.13 -192.61 -8.01 216.92 3.60 264.40 26.27 280.26 33.85 269.82 28.86 Mzb[2]-p[01] kNm 209.33 -198.36 -5.24 -199.48 -4.71 -200.82 -4.07 -192.70 -7.94 216.86 3.60 264.33 26.27 280.13 33.82 269.71 28.84 Mzb[2]-p[02] kNm -148.62 -154.98 4.28 -153.63 3.37 -151.83 2.16 -146.17 -1.65 -151.72 2.09 -149.80 0.79 -176.87 19.01 -173.86 16.98 Mzb[3] kNm 442.32 242.20 -45.24 290.48 -34.33 336.35 -23.96 420.33 -4.97 432.45 -2.23 431.23 -2.51 369.91 -16.37 378.02 -14.54 Mzb[3]-p[01] kNm 442.08 242.09 -45.24 290.33 -34.33 336.18 -23.95 420.12 -4.97 432.21 -2.23 430.98 -2.51 369.74 -16.36 377.85 -14.53 Mzb[3]-p[02] kNm 154.28 -108.25 -29.84 -112.54 -27.05 -115.68 -25.02 149.87 -2.86 150.59 -2.39 157.97 2.39 135.38 -12.25 136.80 -11.33 Mxt[01] kNm 68493.00 43959.00 -35.82 49844.00 -27.23 53874.00 -21.34 66530.00 -2.87 67780.00 -1.04 67823.00 -0.98 52802.00 -22.91 46492.00 -32.12 Mxt[02] kNm 6400.40 6231.00 -2.65 6078.40 -5.03 6115.40 -4.45 6344.10 -0.88 6203.20 -3.08 6345.10 -0.86 5983.70 -6.51 5846.60 -8.65 Myt[02] kNm 9533.90 8005.30 -16.03 8673.50 -9.02 9091.50 -4.64 9423.30 -1.16 9611.80 0.82 9585.70 0.54 8406.80 -11.82 8409.90 -11.79 Myt[01] kNm -281560.00 220980.02 -21.52 -246800.02 -12.35 -269420.00 -4.31 -279810.00 -0.62 -278360.00 -1.14 -262150.00 -6.89 -201310.02 -28.50 -212210.02 -24.63 Mzt[01] kNm -6251.20 -7472.90 19.54 -7583.30 21.31 -6980.40 11.66 -6327.40 1.22 -6366.30 1.84 -5360.90 -14.24 -4800.60 -23.21 -5142.30 -17.74 Mzt[02] kNm -6251.20 -7472.90 19.54 -7583.30 21.31 -6980.40 11.66 -6327.40 1.22 -6366.30 1.84 -5360.90 -14.24 -4800.60 -23.21 -5142.30 -17.74 Tip displ. flap[1] mm -9901.80 -9731.00 -1.72 -9770.20 -1.33 -9839.30 -0.63 -9819.30 -0.83 -9973.40 0.72 -10046.00 1.46 -10673.00 7.79 -10727.00 8.33 Tip disp. flap[2] mm -5518.60 -6843.20 24.00 -6368.10 15.39 -5803.30 5.16 -5307.10 -3.83 -5536.80 0.33 -6192.70 12.22 -7135.00 29.29 -7021.00 27.22 Tip disp. flap[3] mm -9006.10 -7203.80 -20.01 -7607.80 -15.53 -8028.60 -10.85 -8849.90 -1.73 -8890.50 -1.28 -9387.20 4.23 -8311.10 -7.72 -8402.20 -6.71 Tip displ. lag[1] mm 7315.10 7103.60 -2.89 7140.20 -2.39 7217.20 -1.34 7234.20 -1.11 7391.90 1.05 7166.30 -2.03 7740.60 5.82 7747.60 5.91 Tip displ. lag[2] mm 4735.30 4841.20 2.24 4589.90 -3.07 4437.50 -6.29 4767.20 0.67 4687.40 -1.01 4460.30 -5.81 4963.40 4.82 4868.10 2.80 Tip displ. lag[3] mm 6469.00 5356.50 -17.20 5631.30 -12.95 5898.80 -8.81 6350.60 -1.83 6421.40 -0.74 6627.70 2.45 5516.40 -14.73 5583.80 -13.68 X-defl[01] mm 0.00 0.00 X-defl[02] mm -2923.00 5312.70 81.76 -4547.70 55.58 -3957.70 -3315.50 13.43 -2730.90 -6.57 -1835.40 -37.21 -764.02 -73.86 -878.92 Y-defl[01] mm 0.00 0.00 Y-defl[02] mm -701.86 -1062.10 0.00 -908.41 _225 0.00 0.00 51.33 % -784.73 _250 0.00 35.40 0.00 29.43 % 0.00 11.81 -776.17 10.59 % _300 0.00 _350 0.00 0.00 -657.53 % -475.09 _400 0.00 0.00 -6.32 % 0.00 0.00 -32.31 -175.60 % -74.98 -169.34 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 -69.93 0.00 page 44 -75.87 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, absolute extreme values E50025 Variable unit Fxn kN baseline 219.25 _150 199.86 % -8.84 224.53 2.41 219.59 0.16 207.02 -5.58 222.47 1.47 230.93 5.33 236.47 7.85 300.88 37.23 Fyn kN -754.32 -689.80 -8.55 -659.58 -12.56 -795.34 5.44 -694.17 -7.97 -682.97 -9.46 -745.07 -1.23 -775.37 2.79 -800.89 6.17 Fzn kN -1061.40 -1029.50 -3.01 -1025.20 -3.41 -1053.80 -0.72 -1054.90 -0.61 -1057.50 -0.37 -1033.50 -2.63 -1079.10 1.67 -1066.30 0.46 Mxn kNm -1811.20 1458.90 -19.45 -1450.30 -19.93 1424.70 -21.34 -1354.80 -25.20 1473.10 -18.67 -1682.00 -7.13 -1507.60 -16.76 -1491.30 -17.66 Mxn-r kNm -1832.90 1476.40 -19.45 -1467.70 -19.92 1441.80 -21.34 -1371.10 -25.20 1490.80 -18.66 -1702.20 -7.13 -1525.60 -16.77 -1509.20 -17.66 Myn kNm -5803.00 -5522.60 -4.83 -5281.80 -8.98 -5506.80 -5.10 -5608.70 -3.35 -7020.50 20.98 -6220.00 7.19 -5304.70 -8.59 -6437.70 10.94 Myn-r kNm -7841.90 -6650.70 -15.19 -6031.50 -23.09 6096.60 -22.26 -6393.60 -18.47 6973.20 -11.08 7987.60 1.86 -6822.90 -12.99 6793.00 -13.38 Mzn kNm -6118.30 6511.10 6.42 6248.00 2.12 -6393.10 4.49 -6024.00 -1.54 -6677.70 9.14 6697.30 9.46 -6855.10 12.04 6480.70 5.92 Mzn-r kNm 6751.50 5799.10 -14.11 -5382.30 -20.28 5745.50 -14.90 6214.10 -7.96 -7359.20 9.00 -6189.60 -8.32 5978.20 -11.45 6258.70 -7.30 Mxb[1] kNm 13230.00 11690.00 -11.64 -12254.00 -7.38 12077.00 -8.72 12189.00 -7.87 12820.00 -3.10 13334.00 0.79 13729.00 3.77 12411.00 -6.19 Mxb[1]-p[01] kNm 6088.80 4696.80 -22.86 4937.10 -18.92 6325.70 3.89 6532.10 7.28 7236.20 18.84 6982.90 14.68 5819.30 -4.43 5941.40 -2.42 Mxb[1]-p[02] kNm 1848.00 1337.10 -27.65 1434.70 -22.36 1926.50 4.25 2019.20 9.26 2295.70 24.23 2035.10 10.12 1542.90 -16.51 1752.90 -5.15 Mxb[2] kNm 13596.00 14369.00 5.69 13649.00 0.39 13894.00 2.19 13957.00 2.66 14063.00 3.43 14596.00 7.36 14756.00 8.53 15360.00 12.97 Mxb[2]-p[01] kNm 5961.90 5724.40 -3.98 5693.30 -4.51 5709.90 -4.23 5386.10 -9.66 5757.70 -3.43 5415.20 -9.17 6053.30 1.53 5650.00 -5.23 Mxb[2]-p[02] kNm 1642.20 1478.60 -9.96 1453.30 -11.50 1548.60 -5.70 1507.70 -8.19 1579.10 -3.84 1530.60 -6.80 1629.10 -0.80 1576.40 -4.01 Mxb[3] kNm 14612.00 14880.00 1.83 14401.00 -1.44 13419.00 -8.16 13999.00 -4.20 13625.00 -6.75 14325.00 -1.96 14546.00 -0.45 14893.00 1.92 Mxb[3]-p[01] kNm 4560.10 3899.20 -14.49 3989.10 -12.52 -4315.30 -5.37 -4389.20 -3.75 -5241.40 14.94 -4699.90 3.07 4461.10 -2.17 4455.70 -2.29 Mxb[3]-p[02] kNm 1405.30 1107.90 -21.16 1180.50 -16.00 1230.30 -12.45 1220.30 -13.16 1389.80 -1.10 1353.80 -3.66 1358.00 -3.37 1487.00 5.81 Myb[1] kNm -5097.40 -4078.90 -19.98 -3904.70 -23.40 -5375.80 5.46 -5692.30 11.67 -6354.90 24.67 -5864.30 15.04 -4585.10 -10.05 -4903.70 -3.80 Myb[1]-p[01] kNm 12488.00 11184.00 -10.44 10988.00 -12.01 11745.00 -5.95 11359.00 -9.04 12272.00 -1.73 12815.00 2.62 12977.00 3.92 12003.00 -3.88 Myb[1]-p[02] kNm 3305.00 3007.70 -9.00 2965.50 -10.27 2994.70 -9.39 3066.40 -7.22 3240.50 -1.95 3213.50 -2.77 3200.90 -3.15 3329.30 0.74 Myb[2] kNm -5093.10 -4951.20 -2.79 -4589.20 -9.89 -5887.20 15.59 -5820.80 14.29 -5356.90 5.18 -5974.60 17.31 -5391.00 5.85 -4996.20 -1.90 Myb[2]-p[01] kNm 12820.00 13579.00 5.92 13168.00 2.71 13294.00 3.70 13126.00 2.39 13467.00 5.05 13664.00 6.58 14231.00 11.01 14426.00 12.53 Myb[2]-p[02] kNm 4009.50 3689.70 -7.98 4041.80 0.81 3711.00 -7.44 3784.10 -5.62 3764.60 -6.11 3878.60 -3.26 4114.50 2.62 4045.10 0.89 Myb[3] kNm -5115.30 -3945.60 -22.87 -4348.90 -14.98 -4508.10 -11.87 -4877.70 -4.64 -4306.40 -15.81 -4818.60 -5.80 -5233.50 2.31 -5831.50 14.00 Myb[3]-p[01] kNm 14260.00 14109.00 -1.06 13892.00 -2.58 12662.00 -11.21 13388.00 -6.12 13061.00 -8.41 13883.00 -2.64 14013.00 -1.73 13913.00 -2.43 Myb[3]-p[02] kNm 4107.50 3970.90 -3.33 4046.00 -1.50 3414.00 -16.88 3552.20 -13.52 3391.60 -17.43 3678.60 -10.44 4035.10 -1.76 3658.90 -10.92 Mzb[1] kNm 239.20 188.75 -21.09 185.59 -22.41 275.68 15.25 254.11 6.23 277.66 16.08 243.84 1.94 250.80 4.85 289.15 20.88 Mzb[1]-p[01] kNm 239.09 188.66 -21.09 185.50 -22.41 275.57 15.26 254.01 6.24 277.52 16.07 243.72 1.94 250.71 4.86 289.05 20.90 Mzb[1]-p[02] kNm 99.40 -88.54 -10.93 -84.67 -14.82 104.63 5.26 95.09 -4.34 -106.33 6.97 99.40 0.00 94.15 -5.28 119.97 20.69 Mzb[2] kNm -202.11 -189.28 -6.35 -187.03 -7.46 238.05 17.78 224.40 11.03 201.62 -0.24 -180.66 -10.61 -199.14 -1.47 -182.63 -9.64 Mzb[2]-p[01] kNm -202.11 -189.28 -6.35 -187.04 -7.46 237.96 17.74 224.32 10.99 201.54 -0.28 -180.66 -10.61 -199.14 -1.47 -182.64 -9.63 Mzb[2]-p[02] kNm -92.81 -88.09 -5.09 -87.87 -5.32 92.76 -0.05 88.64 -4.49 -83.48 -10.05 -77.24 -16.78 -94.24 1.54 -80.66 -13.09 Mzb[3] kNm -166.83 -166.22 -0.37 -167.00 0.10 -175.53 5.21 177.41 6.34 -206.52 23.79 -204.64 22.66 -179.51 7.60 -190.85 14.40 Mzb[3]-p[01] kNm -166.79 -166.19 -0.36 -166.94 0.09 -175.48 5.21 177.37 6.34 -206.45 23.78 -204.58 22.66 -179.47 7.60 -190.81 14.40 Mzb[3]-p[02] kNm -82.80 -79.13 -4.43 -86.37 4.31 -81.13 -2.02 -81.90 -1.09 -93.89 13.39 -95.78 15.68 -86.46 4.42 -81.61 -1.44 Mxt[01] kNm Mxt[02] kNm Myt[02] kNm -6882.50 -6838.10 Myt[01] kNm 73903.00 61585.00 Mzt[01] kNm 9314.30 10254.00 Mzt[02] kNm 9314.30 Tip displ. flap[1] mm Tip disp. flap[2] 164060.00 136730.00 3774.50 3055.30 _175 % -16.66 151610.00 -19.05 _200 % -7.59 172780.02 3037.30 -19.53 -0.65 -6300.30 -8.46 -6493.60 -16.67 75732.00 2.47 66338.00 10.09 9767.40 4.86 8976.90 10254.00 10.09 9767.40 4.86 -1030.60 -1033.10 0.24 -987.95 mm -1113.80 -1251.70 12.38 Tip disp. flap[3] mm -1340.20 -1051.40 Tip displ. lag[1] mm 8234.50 Tip displ. lag[2] mm 8537.20 Tip displ. lag[3] mm X-defl[01] mm X-defl[02] Y-defl[01] Y-defl[02] % 5.32 136170.00 -5.65 -6321.80 -10.24 70771.00 -3.62 8976.90 -4.14 -1078.20 -21.55 -1084.40 8266.80 0.39 7788.50 -8.77 7464.10 7570.80 1.43 0.00 0.00 mm 677.65 1327.90 mm 0.00 0.00 mm -1655.90 -3313.80 100.12 % -17.00 159330.00 -28.22 95.96 _300 -20.44 -8.15 -7190.20 -4.24 78329.00 9004.70 -3.32 -3.62 9004.70 -1095.10 6.26 -3.20 -1258.80 -19.09 -1088.80 8134.70 -1.21 7522.00 -11.89 7305.60 -2.12 89.32 -2784.50 4.47 -6869.10 5.99 69692.00 9721.70 4.37 -3.32 9721.70 -1162.70 12.82 13.02 -1252.80 -18.76 -1181.70 8689.70 5.53 8001.90 -6.27 7399.50 -0.87 883.88 -2513.80 % -4.75 165820.02 1.07 -10.81 3473.10 -7.99 -0.19 -6183.40 -10.16 -8030.60 16.68 -5.70 79876.00 8.08 108190.01 46.39 9461.00 1.57 10031.00 7.69 9464.40 1.61 4.37 9461.00 1.57 10031.00 7.69 9464.40 1.61 -1318.80 27.96 -1155.30 12.10 -1017.80 -1.24 -1086.40 5.41 12.48 -1310.20 17.63 -1323.40 18.82 -1288.00 15.64 -1175.90 5.58 -11.83 -1126.80 -15.92 -1197.10 -10.68 -1182.20 -11.79 -1335.60 -0.34 8599.00 4.43 8636.10 4.88 8562.20 3.98 8579.50 4.19 8508.50 3.33 7980.30 -6.52 7556.70 -11.49 7694.30 -9.87 8067.90 -5.50 8273.80 -3.09 7650.30 2.49 7701.50 3.18 7749.50 3.82 7932.60 6.28 7779.90 4.23 754.45 0.00 11.33 0.00 51.81 _400 3366.50 0.00 30.43 % -7.07 156260.00 -15.00 0.00 68.16 _350 3208.50 0.00 0.00 % -2.88 152460.00 3003.10 1282.90 -8.21 _250 2709.50 0.00 3464.50 _225 -1596.40 678.05 0.00 0.06 0.00 -3.59 -1514.60 419.42 0.00 -38.11 0.00 -8.53 -1034.40 -282.23 0.00 -58.35 0.00 -37.53 -553.52 403.63 -40.44 0.00 -66.57 -655.69 -60.40 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 45 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, absolute extreme values E50335 Variable unit Fxn kN baseline 208.05 _150 188.58 % -9.36 _175 192.77 -7.34 196.69 -5.46 212.74 2.25 202.26 -2.78 200.56 -3.60 213.50 2.62 210.56 Fyn kN 700.90 689.11 -1.68 762.42 8.78 711.61 1.53 721.88 2.99 711.31 1.49 687.57 -1.90 678.08 -3.26 712.39 1.64 Fzn kN -969.49 -943.83 -2.65 -954.16 -1.58 -969.47 0.00 -946.52 -2.37 -964.40 -0.53 -964.99 -0.46 -954.16 -1.58 -947.35 -2.28 Mxn kNm 1411.40 -1505.50 6.67 1544.50 9.43 -1494.10 5.86 1482.00 5.00 1423.30 0.84 1528.20 8.28 1474.50 4.47 1412.90 0.11 Mxn-r kNm 1428.30 -1523.50 6.67 1563.00 9.43 -1512.00 5.86 1499.80 5.01 1440.40 0.85 1546.50 8.28 1492.10 4.47 1429.80 0.11 Myn kNm 4403.20 4305.00 -2.23 4478.10 1.70 4813.80 9.33 5163.00 17.26 4779.20 8.54 5246.80 19.16 6075.30 37.97 5976.40 35.73 Myn-r kNm 5077.70 -4313.50 -15.05 4729.80 -6.85 -4816.70 -5.14 -5028.30 -0.97 5390.80 6.17 5202.00 2.45 5909.60 16.38 5949.50 17.17 Mzn kNm -5639.70 -5952.00 5.54 -5682.30 0.76 -5523.90 -2.05 -5486.10 -2.72 -5663.30 0.42 -6475.20 14.81 -5826.20 3.31 -6417.80 13.80 Mzn-r kNm 5612.50 5009.00 -10.75 4980.40 -11.26 5775.30 2.90 5894.30 5.02 5677.70 1.16 5701.20 1.58 5282.90 -5.87 5485.30 -2.27 Mxb[1] kNm -12138.00 -12032.00 -0.87 -11576.00 -4.63 -11747.00 -3.22 -12090.00 -0.40 -12272.00 1.10 -12079.00 -0.49 -11395.00 -6.12 -12141.00 0.02 Mxb[1]-p[01] kNm 4783.40 3967.00 -17.07 4420.20 -7.59 4681.40 -2.13 4898.20 2.40 4826.50 0.90 4349.80 -9.06 4586.60 -4.11 5553.90 16.11 Mxb[1]-p[02] kNm 1443.70 1215.90 -15.78 1260.50 -12.69 1402.70 -2.84 1423.50 -1.40 1412.20 -2.18 1289.40 -10.69 -1154.20 -20.05 1519.70 5.26 Mxb[2] kNm 13234.00 13130.00 -0.79 12994.00 -1.81 13452.00 1.65 13637.00 3.05 13109.00 -0.94 12715.00 -3.92 12843.00 -2.95 13118.00 -0.88 Mxb[2]-p[01] kNm 4617.90 4541.70 -1.65 4477.50 -3.04 4648.30 0.66 4615.70 -0.05 4726.10 2.34 4813.50 4.24 4931.20 6.78 4850.90 5.05 Mxb[2]-p[02] kNm 1437.80 1301.30 -9.49 1369.30 -4.76 1351.60 -6.00 1405.60 -2.24 1490.40 3.66 1685.40 17.22 1433.20 -0.32 1522.70 5.90 Mxb[3] kNm 12028.00 12294.00 2.21 12948.00 7.65 12234.00 1.71 12050.00 0.18 12111.00 0.69 12581.00 4.60 12939.00 7.57 13523.00 12.43 Mxb[3]-p[01] kNm -3822.50 5635.80 47.44 5704.50 49.23 5168.30 35.21 5566.00 45.61 -4174.10 9.20 5313.90 39.02 4147.10 8.49 3835.00 0.33 Mxb[3]-p[02] kNm 1173.40 1510.70 28.75 1574.30 34.17 1523.40 29.83 1699.60 44.84 1291.50 10.06 1449.40 23.52 1204.90 2.68 1186.00 1.07 Myb[1] kNm -3928.40 -3552.20 -9.58 -3768.70 -4.07 -3832.80 -2.43 -4088.60 4.08 -4076.40 3.77 -3586.70 -8.70 4059.10 3.33 -4123.50 4.97 Myb[1]-p[01] kNm -10783 -11139 3.30 -10858 0.70 -11106 3.00 -11275 4.56 -11325 5.03 -11082 2.77 -10386 -3.68 -10688 -0.88 Myb[1]-p[02] kNm -2745.7 -2848.6 3.75 -2818.3 2.64 -2805 2.16 -2878.3 4.83 -2860.6 4.18 -2948.3 7.38 -2766.3 0.75 -2933.9 6.85 Myb[2] kNm -4269.60 -4120.70 -3.49 -4092.30 -4.15 -4146.70 -2.88 -4445.50 4.12 -4358.80 2.09 -5203.10 21.86 -4519.20 5.85 -4498.60 5.36 Myb[2]-p[01] kNm 12662.00 12315.00 -2.74 12270.00 -3.10 12752.00 0.71 12988.00 2.57 12332.00 -2.61 11948.00 -5.64 12034.00 -4.96 12741.00 0.62 Myb[2]-p[02] kNm 3483.80 3199.20 -8.17 3020.70 -13.29 3314.60 -4.86 3385.10 -2.83 3414.30 -1.99 2959.20 -15.06 3008.60 -13.64 3443.00 -1.17 Myb[3] kNm -4631.40 -4574.80 -1.22 -4691.10 1.29 -4819.60 4.06 -5173.30 11.70 -5033.70 8.69 -4235.40 -8.55 -4425.30 -4.45 -4318.10 -6.76 Myb[3]-p[01] kNm 11504.00 11726.00 1.93 12358.00 7.42 11610.00 0.92 11337.00 -1.45 11571.00 0.58 11906.00 3.49 12082.00 5.02 12941.00 12.49 Myb[3]-p[02] kNm 3195.70 3098.70 -3.04 3319.40 3.87 3311.20 3.61 3190.10 -0.18 3201.10 0.17 3233.60 1.19 3228.50 1.03 3393.20 6.18 Mzb[1] kNm 200.06 161.33 -19.36 174.23 -12.91 179.43 -10.31 164.74 -17.65 189.45 -5.30 170.76 -14.65 165.14 -17.45 227.85 13.89 Mzb[1]-p[01] kNm 200.00 161.24 -19.38 174.14 -12.93 179.34 -10.33 164.63 -17.69 189.36 -5.32 170.72 -14.64 165.09 -17.46 227.74 13.87 Mzb[1]-p[02] kNm 85.34 -71.27 -16.49 -75.59 -11.42 -75.29 -11.78 -77.07 -9.69 -79.16 -7.24 -78.32 -8.23 -74.65 -12.53 87.67 2.73 Mzb[2] kNm -180.79 -181.52 0.40 -176.99 -2.10 -176.84 -2.18 183.95 1.75 -187.63 3.78 -175.00 -3.20 -168.18 -6.97 -169.96 -5.99 Mzb[2]-p[01] kNm -180.75 -181.48 0.40 -176.94 -2.11 -176.79 -2.19 183.86 1.72 -187.58 3.78 -174.95 -3.21 -168.12 -6.99 -169.91 -6.00 Mzb[2]-p[02] kNm -78.89 -80.26 1.74 -80.43 1.95 -77.29 -2.03 -80.18 1.64 -82.56 4.65 -77.60 -1.64 -89.50 13.45 -85.26 8.07 Mzb[3] kNm -129.73 190.87 47.13 163.02 25.66 184.63 42.32 225.84 74.08 140.77 8.51 191.41 47.54 148.14 14.19 123.98 -4.43 Mzb[3]-p[01] kNm -129.70 190.78 47.09 162.94 25.63 184.55 42.29 225.77 74.07 140.68 8.47 191.31 47.50 148.06 14.16 123.89 -4.48 Mzb[3]-p[02] kNm -68.69 -87.54 27.44 -82.33 19.86 -83.01 20.85 89.38 30.12 -79.70 16.03 -79.72 16.06 -66.85 -2.68 -56.11 -18.31 Mxt[01] kNm -150320.00 -146620.00 -2.46 -148740.00 -1.05 -141320.00 -5.99 -152870.00 1.70 -149830.00 -0.33 -156570.00 4.16 -133530.00 -11.17 -169550.02 12.79 Mxt[02] kNm -3213.00 -3187.80 -0.78 -2808.60 -12.59 -3179.80 -1.03 -3173.60 -1.23 -3337.70 3.88 -2962.20 -7.81 -3139.30 -2.29 -3733.60 16.20 Myt[02] kNm 4799.60 -4780.50 -0.40 5111.30 6.49 5748.40 19.77 -5162.80 7.57 5181.10 7.95 5198.00 8.30 -6021.10 25.45 -5973.30 24.45 Myt[01] kNm 61869.00 59467.00 -3.88 49309.00 -20.30 70198.00 13.46 78489.00 26.86 60153.00 -2.77 58354.00 -5.68 66664.00 7.75 62974.00 1.79 Mzt[01] kNm -8397.10 -8285.50 -1.33 -8109.20 -3.43 -8263.20 -1.59 -8269.60 -1.52 -8372.70 -0.29 -9072.00 8.04 -8581.70 2.20 -8856.80 5.47 Mzt[02] kNm -8397.10 -8285.50 -1.33 -8109.20 -3.43 -8263.20 -1.59 -8269.60 -1.52 -8372.70 -0.29 -9072.00 8.04 -8581.70 2.20 -8856.80 5.47 Tip displ. flap[1] mm -805.24 -839.33 4.23 -851.13 5.70 -811.37 0.76 -834.87 3.68 -805.72 0.06 -809.29 0.50 -700.59 -13.00 -870.78 8.14 Tip disp. flap[2] mm -977.70 -1044.20 6.80 -1076.90 10.15 -1011.80 3.49 -1036.20 5.98 -972.84 -0.50 -1237.80 26.60 -877.56 -10.24 -1119.10 14.46 Tip disp. flap[3] mm -1057.80 -1054.10 -0.35 -1068.30 0.99 -1128.50 6.68 -1193.30 12.81 -1134.20 7.22 -1037.60 -1.91 -1104.30 4.40 -1086.70 2.73 Tip displ. lag[1] mm 8292.80 8477.00 2.22 8427.70 1.63 8375.90 1.00 8561.70 3.24 8528.70 2.84 8771.80 5.78 8316.90 0.29 8738.10 5.37 Tip displ. lag[2] mm 8024.70 7873.40 -1.89 8208.60 2.29 8342.70 3.96 8375.90 4.38 8099.20 0.93 8053.30 0.36 8018.50 -0.08 8129.20 1.30 Tip displ. lag[3] mm 7565.20 7506.10 -0.78 7679.90 1.52 7750.40 2.45 7767.20 2.67 7627.50 0.82 7612.90 0.63 7769.80 2.70 7708.10 1.89 X-defl[01] mm 0.00 0.00 X-defl[02] mm 539.15 Y-defl[01] mm 0.00 Y-defl[02] mm 1542.20 1350.80 150.54 0.00 3563.20 131.05 % _200 0.00 858.92 _225 0.00 59.31 0.00 2740.40 % 943.57 2062.00 _250 0.00 75.01 0.00 77.69 % 871.29 1760.20 _300 0.00 61.60 0.00 33.71 % 530.43 1429.50 _350 0.00 -1.62 0.00 14.14 % 373.99 1068.20 _400 % 0.00 -30.63 0.00 -7.31 % 205.21 0.00 -61.94 195.00 0.00 -30.74 474.11 Stentec, 3-1-03 -63.83 0.00 -69.26 661.89 NOTE: gamma = 1 R45.04/01.03/03 1.21 page 46 -57.08 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, 1Hz equivalent values 24 m/s Variable unit mat. curve Fxn kN M5 260.89 269.67 3.37 260.03 -0.33 264.60 1.42 262.89 0.77 254.55 -2.43 254.43 Fyn kN M5 189.97 178.22 -6.19 179.78 -5.36 226.78 19.38 181.75 -4.33 185.57 -2.32 Fzn kN M5 151.90 139.73 -8.01 142.73 -6.04 145.68 -4.09 147.13 -3.14 151.21 -0.45 Mxn kNm M5 2057.89 2201.05 6.96 2111.45 2.60 2140.01 3.99 2090.52 1.59 2080.90 Mxn-r kNm M5 2068.66 2211.82 6.92 2119.94 2.48 2148.73 3.87 2098.84 1.46 Myn kNm M5 6259.18 6020.96 -3.81 6197.87 -0.98 6090.50 -2.69 6185.75 Myn-r kNm M5 7007.78 6946.24 -0.88 7150.31 2.03 6915.88 -1.31 Mzn kNm M5 6055.53 6067.14 0.19 6009.52 -0.76 6078.80 Mzn-r kNm M5 6767.94 6739.11 -0.43 6739.11 -0.43 6855.94 Mxb[1] kNm M10 8241.70 8193.68 -0.58 8122.68 -1.44 Mxb[1]-p[01] kNm M10 6529.26 6388.37 -2.16 6323.73 Mxb[1]-p[02] kNm M10 1607.36 1600.50 -0.43 Mxb[2] kNm M10 8290.28 8007.05 Mxb[2]-p[01] kNm M10 6772.97 Mxb[2]-p[02] kNm M10 Mxb[3] kNm M10 Mxb[3]-p[01] kNm Mxb[3]-p[02] bline 024-150 % 024-175 % 024-200 % 024-225 % 024-250 % 024-300 % 024-350 % 024-400 % -2.48 249.77 -4.26 251.10 -3.75 190.37 0.21 183.33 -3.50 189.01 -0.51 148.27 -2.39 147.05 -3.19 147.35 -3.00 1.12 2176.82 5.78 2157.52 4.84 2207.19 7.25 2086.39 0.86 2190.38 5.88 2167.87 4.80 2221.14 7.37 -1.17 6210.04 -0.79 6173.69 -1.37 6321.70 1.00 6259.18 0.00 6976.88 -0.44 6976.88 -0.44 6931.03 -1.10 6992.30 -0.22 6976.88 -0.44 0.38 6090.50 0.58 6043.96 -0.19 6185.75 2.15 6173.69 1.95 6259.18 3.36 1.30 6767.94 0.00 6696.33 -1.06 6782.45 0.21 6811.66 0.65 6797.02 0.43 8087.64 -1.87 8134.43 -1.30 8278.08 0.44 8302.52 0.74 8327.10 1.04 8290.28 0.59 -3.15 6544.45 0.23 6484.10 -0.69 6605.94 1.17 6582.75 0.82 6621.49 1.41 6567.38 0.58 1557.51 -3.10 1622.19 0.92 1609.66 0.14 1619.39 0.75 1633.50 1.63 1663.45 3.49 1634.44 1.68 -3.42 8007.05 -3.42 8169.87 -1.45 8205.63 -1.02 8351.83 0.74 8278.08 -0.15 8290.28 0.00 8302.52 0.15 6359.48 -6.11 6484.10 -4.27 6536.84 -3.49 6700.37 -1.07 6748.60 -0.36 6764.83 -0.12 6772.97 0.00 6708.36 -0.95 1698.10 1587.85 -6.49 1602.78 -5.61 1633.97 -3.78 1700.66 0.15 1701.18 0.18 1688.92 -0.54 1681.85 -0.96 1668.87 -1.72 8110.97 7928.05 -2.26 8099.29 -0.14 8241.70 1.61 8041.40 -0.86 8099.29 -0.14 8007.05 -1.28 8076.03 -0.43 8029.91 -1.00 M10 6410.21 6137.43 -4.26 6184.67 -3.52 6446.94 0.57 6359.48 -0.79 6484.10 1.15 6274.35 -2.12 6359.48 -0.79 6417.52 0.11 kNm M10 1618.92 1507.83 -6.86 1480.83 -8.53 1616.60 -0.14 1563.57 -3.42 1582.04 -2.28 1529.56 -5.52 1579.37 -2.44 1589.19 -1.84 Myb[1] kNm M10 7700.14 8146.21 5.79 7828.75 1.67 8052.91 4.58 7575.70 -1.62 7525.02 -2.27 7817.87 1.53 7796.20 1.25 7606.43 -1.22 Myb[1]-p[01] kNm M10 8339.45 8542.08 2.43 8452.23 1.35 8795.87 5.47 8364.25 0.30 8490.50 1.81 8782.13 5.31 8620.62 3.37 8529.12 2.27 Myb[1]-p[02] kNm M10 2418.81 2428.21 0.39 2445.10 1.09 2441.91 0.96 2391.05 -1.15 2425.07 0.26 2408.45 -0.43 2479.59 2.51 2491.67 3.01 Myb[2] kNm M10 7828.75 7710.70 -1.51 7637.41 -2.44 7894.67 0.84 7839.66 0.14 7774.64 -0.69 8064.45 3.01 7916.90 1.13 7807.02 -0.28 Myb[2]-p[01] kNm M10 8464.95 8660.44 2.31 8452.23 -0.15 8452.23 -0.15 8302.52 -1.92 8265.92 -2.35 8503.34 0.45 8229.64 -2.78 8217.62 -2.92 Myb[2]-p[02] kNm M10 2442.97 2418.81 -0.99 2445.10 0.09 2534.33 3.74 2405.36 -1.54 2393.09 -2.04 2398.19 -1.83 2371.89 -2.91 2381.94 -2.50 Myb[3] kNm M10 8278.08 8018.47 -3.14 8087.64 -2.30 7796.20 -5.82 8122.68 -1.88 8278.08 0.00 7774.64 -6.08 7961.72 -3.82 8290.28 0.15 Myb[3]-p[01] kNm M10 8935.60 8673.80 -2.93 8823.46 -1.25 8700.63 -2.63 8741.19 -2.18 8879.17 -0.63 8529.12 -4.55 8687.19 -2.78 8700.63 -2.63 Myb[3]-p[02] kNm M10 2593.93 2499.42 -3.64 2570.23 -0.91 2490.57 -3.98 2640.20 1.78 2631.55 1.45 2526.36 -2.60 2518.44 -2.91 2642.68 1.88 Mzb[1] kNm M10 119.37 128.18 7.38 125.86 5.44 129.83 8.76 120.72 1.13 124.25 4.09 132.95 11.38 128.40 7.56 125.73 5.33 Mzb[1]-p[01] kNm M10 119.31 128.11 7.38 125.80 5.44 129.76 8.76 120.61 1.09 124.18 4.08 132.88 11.37 128.21 7.46 125.68 5.34 Mzb[1]-p[02] kNm M10 75.22 74.34 -1.17 71.90 -4.41 76.60 1.83 75.01 -0.28 76.38 1.54 78.89 4.88 76.49 1.69 77.39 2.88 Mzb[2] kNm M10 134.46 130.97 -2.60 138.29 2.85 124.76 -7.21 132.71 -1.30 134.25 -0.16 126.08 -6.23 132.41 -1.52 134.15 -0.23 Mzb[2]-p[01] kNm M10 134.42 130.93 -2.60 138.25 2.85 124.69 -7.24 132.67 -1.30 134.18 -0.18 126.04 -6.23 132.37 -1.53 134.11 -0.23 Mzb[2]-p[02] kNm M10 80.20 79.93 -0.34 82.37 2.71 77.75 -3.05 81.29 1.36 81.89 2.11 76.25 -4.93 82.36 2.69 83.06 3.57 Mzb[3] kNm M10 135.20 130.55 -3.44 122.15 -9.65 118.06 -12.68 133.07 -1.58 133.70 -1.11 122.07 -9.71 127.43 -5.75 127.56 -5.65 Mzb[3]-p[01] kNm M10 135.16 130.51 -3.44 122.11 -9.66 118.02 -12.68 132.99 -1.61 133.55 -1.19 122.03 -9.71 127.38 -5.76 127.52 -5.65 Mzb[3]-p[02] kNm M10 76.16 82.67 8.55 75.52 -0.84 70.95 -6.84 73.93 -2.93 77.26 1.44 72.60 -4.67 73.49 -3.51 73.37 -3.66 Mxt[01] kNm M5 34205.57 31799.15 -7.04 30277.67 -11.48 60266.96 76.19 28376.83 -17.04 33131.05 -3.14 Mxt[02] kNm M5 2184.33 2330.76 6.70 2251.16 3.06 2427.32 11.12 2219.58 1.61 2233.68 2.26 2341.11 7.18 2365.61 8.30 Myt[02] kNm M5 6424.40 6197.87 -3.53 6385.50 -0.61 6185.75 -3.71 6372.64 -0.81 6347.07 -1.20 6424.40 0.00 6296.54 -1.99 Myt[01] kNm M5 39798.94 43641.59 9.66 41359.68 3.92 42470.00 6.71 40305.93 1.27 39304.54 -1.24 39798.94 0.00 Mzt[01] kNm M5 6931.03 6885.78 -0.65 6931.03 0.00 6976.88 0.66 6885.78 -0.65 6900.80 -0.44 7007.78 1.11 7007.78 1.11 7086.26 2.24 Mzt[02] kNm M5 6931.03 6885.78 -0.65 6931.03 0.00 6976.88 0.66 6885.78 -0.65 6900.80 -0.44 7007.78 1.11 7007.78 1.11 7086.26 2.24 38351.70 12.12 38822.27 13.50 49827.01 25.20 39798.94 16.35 2451.77 12.24 6259.18 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 -2.57 45525.40 14.39 page 47 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, 1Hz equivalent values 18 m/s Variable unit matl curve Fxn kN M5 223.39 241.83 8.25 235.88 Fyn kN M5 132.44 131.00 -1.09 Fzn kN M5 98.11 95.69 -2.47 Mxn kNm M5 1447.73 1608.13 Mxn-r kNm M5 1455.05 Myn kNm M5 Myn-r kNm Mzn bline 018-150 % 018-175 % 018-200 % 018-225 5.59 239.16 7.06 226.38 132.97 0.40 229.05 72.95 96.66 -1.48 100.08 2.01 11.08 1546.81 6.84 1572.96 1612.23 10.80 1555.18 6.88 4804.88 4841.64 0.77 4812.19 M5 5165.74 5208.25 0.82 kNm M5 4834.25 4834.25 Mzn-r kNm M5 5251.48 Mxb[1] kNm M10 Mxb[1]-p[01] kNm M10 Mxb[1]-p[02] kNm Mxb[2] kNm Mxb[2]-p[01] % 018-250 1.34 222.51 132.89 0.34 97.60 -0.52 8.65 1494.22 1577.66 8.43 0.15 4768.67 5132.22 -0.65 0.00 4775.87 5295.42 0.84 7290.93 7179.27 5930.37 6019.21 M10 1334.03 M10 7272.08 kNm M10 Mxb[2]-p[02] kNm Mxb[3] % 018-300 % 018-350 % 018-400 % -0.39 217.30 -2.73 210.01 -5.99 210.87 133.19 0.57 131.40 -0.79 131.20 -0.94 146.41 10.55 97.68 -0.44 97.63 -0.49 97.74 -0.38 99.61 1.53 3.21 1427.48 -1.40 1534.06 5.96 1511.35 4.39 1531.09 5.76 1502.73 3.28 1433.30 -1.49 1539.29 5.79 1516.42 4.22 1534.81 5.48 -0.75 4841.64 0.77 4790.33 -0.30 4761.50 -0.90 4834.25 0.61 4841.64 0.77 5140.56 -0.49 5182.66 0.33 5107.37 -1.13 5123.91 -0.81 5174.18 0.16 5182.66 0.33 -1.21 4932.21 2.03 4834.25 0.00 4704.85 -2.68 4733.00 -2.09 4856.50 0.46 4849.06 0.31 5268.96 0.33 5385.56 2.55 5295.42 0.84 5268.96 0.33 5295.42 0.84 5242.77 -0.17 5242.77 -0.17 -1.53 7225.38 -0.90 7225.38 -0.90 7272.08 -0.26 7243.99 -0.64 7272.08 -0.26 7281.50 -0.13 7309.88 0.26 1.50 6064.64 2.26 6025.66 1.61 5936.63 0.11 5899.27 -0.52 5868.50 -1.04 5886.92 -0.73 5880.77 -0.84 1358.52 1.84 1360.16 1.96 1344.87 0.81 1329.30 -0.35 1320.87 -0.99 1322.43 -0.87 1313.78 -1.52 1308.89 -1.88 7225.38 -0.64 7319.40 0.65 7216.11 -0.77 7272.08 0.00 7300.40 0.39 7225.38 -0.64 7253.33 -0.26 7262.69 -0.13 5917.89 5874.63 -0.73 5930.37 0.21 5850.19 -1.14 5917.89 0.00 5917.89 0.00 5974.46 0.96 5917.89 0.00 5961.80 0.74 M10 1331.19 1318.40 -0.96 1324.29 -0.52 1298.91 -2.42 1334.98 0.28 1341.03 0.74 1369.43 2.87 1353.61 1.68 1365.11 2.55 kNm M10 7309.88 7160.99 -2.04 7234.67 -1.03 7348.08 0.52 7243.99 -0.90 7281.50 -0.39 7319.40 0.13 7225.38 -1.16 7253.33 -0.77 Mxb[3]-p[01] kNm M10 5838.04 5831.99 -0.10 5831.99 -0.10 5917.89 1.37 5850.19 0.21 5819.92 -0.31 5862.38 0.42 5807.90 -0.52 5862.38 0.42 Mxb[3]-p[02] kNm M10 1313.16 1311.02 -0.16 1301.01 -0.93 1348.74 2.71 1313.16 0.00 1292.94 -1.54 1319.94 0.52 1310.11 -0.23 1323.36 0.78 Myb[1] kNm M10 6991.87 6756.70 -3.36 6724.40 -3.83 6983.19 -0.12 6889.11 -1.47 6797.53 -2.78 6764.83 -3.25 6469.19 -7.48 6544.45 -6.40 Myb[1]-p[01] kNm M10 7575.70 7700.14 1.64 7319.40 -3.38 7647.80 0.95 7596.16 0.27 7262.69 -4.13 7272.08 -4.01 7525.02 -0.67 7616.73 0.54 Myb[1]-p[02] kNm M10 2107.90 2076.01 -1.51 2095.34 -0.60 2120.62 0.60 2153.09 2.14 2078.31 -1.40 2079.85 -1.33 2099.25 -0.41 2076.77 -1.48 Myb[2] kNm M10 6267.36 6484.10 3.46 6253.43 -0.22 6323.73 0.90 6352.30 1.36 6171.10 -1.54 6090.91 -2.82 6295.42 0.45 6302.47 0.56 Myb[2]-p[01] kNm M10 7142.80 7475.02 4.65 7188.44 0.64 7243.99 1.42 7206.86 0.90 7216.11 1.03 7044.41 -1.38 7106.70 -0.51 7225.38 1.16 Myb[2]-p[02] kNm M10 1926.68 2032.50 5.49 1923.39 -0.17 1945.34 0.97 1931.31 0.24 1914.22 -0.65 1903.86 -1.18 1905.79 -1.08 2004.26 4.03 Myb[3] kNm M10 6692.39 6906.02 3.19 6567.38 -1.87 6575.05 -1.75 6637.12 -0.83 6847.18 2.31 6637.12 -0.83 6150.85 -8.09 6454.34 -3.56 Myb[3]-p[01] kNm M10 7455.21 7142.80 -4.19 7062.10 -5.27 7170.12 -3.82 7445.34 -0.13 7504.94 0.67 7627.06 2.31 7044.41 -5.51 7070.97 -5.15 Myb[3]-p[02] kNm M10 2020.82 1907.73 -5.60 1891.06 -6.42 1912.92 -5.34 1935.96 -4.20 2021.54 0.04 2020.09 -0.04 1870.93 -7.42 1887.88 -6.58 Mzb[1] kNm M10 112.81 112.49 -0.28 111.38 -1.27 117.76 4.39 113.68 0.77 109.89 -2.59 110.50 -2.05 112.42 -0.35 112.23 -0.51 Mzb[1]-p[01] kNm M10 112.35 112.37 0.02 111.32 -0.92 118.11 5.13 113.60 1.11 109.84 -2.23 111.55 -0.71 112.36 0.01 112.23 -0.11 Mzb[1]-p[02] kNm M10 63.08 63.39 0.49 63.28 0.32 63.95 1.38 63.92 1.33 62.17 -1.44 62.07 -1.60 62.95 -0.21 62.87 -0.33 Mzb[2] kNm M10 107.82 107.61 -0.19 107.02 -0.74 110.41 2.40 106.15 -1.55 107.80 -0.02 109.14 1.22 106.21 -1.49 107.25 -0.53 Mzb[2]-p[01] kNm M10 107.79 107.70 -0.08 106.99 -0.74 110.38 2.40 106.12 -1.55 107.77 -0.02 109.17 1.28 106.18 -1.49 107.22 -0.53 Mzb[2]-p[02] kNm M10 62.35 62.46 0.18 59.36 -4.80 63.65 2.09 60.95 -2.25 58.17 -6.70 60.86 -2.39 61.89 -0.74 62.52 0.27 Mzb[3] kNm M10 116.58 114.38 -1.89 115.96 -0.53 115.18 -1.20 114.80 -1.53 114.58 -1.72 115.07 -1.30 111.95 -3.97 115.58 -0.86 Mzb[3]-p[01] kNm M10 116.54 114.34 -1.89 115.92 -0.53 115.10 -1.24 114.83 -1.47 114.54 -1.72 115.00 -1.32 111.92 -3.96 115.54 -0.86 Mzb[3]-p[02] kNm M10 61.92 64.96 4.91 62.60 1.10 61.89 -0.05 62.29 0.60 64.14 3.59 62.65 1.18 61.46 -0.74 64.45 4.09 Mxt[01] kNm M5 19713.50 14349.28 -27.21 19470.87 -1.23 74447.44 277.65 17149.14 -13.01 19234.14 -2.43 19117.93 -3.02 Mxt[02] kNm M5 1534.06 1736.08 13.17 1663.08 8.41 2074.08 35.20 1572.96 2.54 1468.56 -4.27 1605.69 4.67 1631.35 6.34 Myt[02] kNm M5 4894.07 4947.64 1.09 4916.88 0.47 4863.97 -0.62 4878.97 -0.31 4863.97 -0.62 4841.64 -1.07 4797.59 -1.97 Myt[01] kNm M5 30868.45 35751.58 15.82 33131.05 7.33 36160.17 17.14 30570.20 -0.97 30868.45 0.00 29709.08 -3.76 Mzt[01] kNm M5 5459.90 5413.20 -0.86 5358.20 -1.86 5507.42 0.87 5441.12 -0.34 5394.74 -1.19 5358.20 -1.86 5469.34 0.17 5450.50 -0.17 Mzt[02] kNm M5 5459.90 5413.20 -0.86 5358.20 -1.86 5507.42 0.87 5441.12 -0.34 5394.74 -1.19 5358.20 -1.86 5469.34 0.17 5450.50 -0.17 25011.98 26.88 41359.68 33.99 34579.41 75.41 1703.37 11.04 4797.59 Stentec, 3-1-03 -1.97 37443.97 21.30 NOTE: gamma = 1 R45.04/01.03/03 -5.60 page 48 Load set calculation DOWEC 6MW H. Efdé Tower frequencies, 1Hz equivalent values 12 m/s Variable unit matl curve Fxn kN M5 225.83 Fyn kN M5 Fzn kN M5 Mxn kNm M5 Mxn-r kNm Myn bline 012-150 % 012-175 % 012-200 % 012-225 % 258.04 14.26 246.14 8.99 256.45 13.56 237.58 97.53 105.23 7.90 103.01 5.62 176.43 80.90 101.97 70.93 74.28 4.72 71.85 1.30 68.9 -2.86 68.6 996.69 1133.44 13.72 1079.31 8.29 1118.61 12.23 1043.02 M5 1000.47 1138.33 13.78 1081.16 8.07 1122.19 12.17 kNm M5 4033.16 4017.791 -0.38 4144.088 2.75 3982.39 Myn-r kNm M5 4536.22 4503.93 -0.71 4497.53 -0.85 Mzn kNm M5 4043.47 4106.439 1.56 4043.47 Mzn-r kNm M5 4440.72 4459.498 0.42 4478.43 Mxb[1] kNm M10 6889.11 6822.259 -0.97 Mxb[1]-p[01] kNm M10 5862.38 5850.188 -0.21 Mxb[1]-p[02] kNm M10 1250.12 1238.02 Mxb[2] kNm M10 6847.18 6855.52 Mxb[2]-p[01] kNm M10 5813.91 Mxb[2]-p[02] kNm M10 Mxb[3] kNm Mxb[3]-p[01] kNm Mxb[3]-p[02] 012-250 % 012-300 % 224.62 -0.54 216.98 -3.92 4.55 99.1 1.61 99.29 1.80 -3.28 72.02 1.54 72.01 1.52 4.65 1003.65 0.70 1053.79 5.73 1048.2 4.77 1006.84 0.64 1059.43 -1.26 4117.129 2.08 4111.779 1.95 4446.959 -1.97 4491.149 -0.99 4516.789 0.00 4002.551 -1.01 4064.24 0.51 0.85 4459.498 0.42 4440.72 0.00 6847.178 -0.61 6940.1 0.74 6889.11 5838.039 -0.42 5917.889 0.95 -0.97 1235.84 -1.14 1271.03 0.12 6872.278 0.37 6830.549 5825.95 0.21 5813.911 0.00 5868.5 1241.85 1239.66 -0.18 1225.61 -1.31 M10 6889.11 6838.85 -0.73 6805.75 M10 5789.97 5844.11 0.94 5844.11 kNm M10 1244.32 1254.87 0.85 Myb[1] kNm M10 6598.19 6965.889 Myb[1]-p[01] kNm M10 7053.24 7585.911 Myb[1]-p[02] kNm M10 2086.02 Myb[2] kNm M10 Myb[2]-p[01] kNm Myb[2]-p[02] 012-350 % % 212.2 -6.04 99.8 2.33 97.35 -0.18 70.86 -0.10 72.71 2.51 1027.11 3.05 1042.68 4.61 5.89 1031.12 3.06 1046.47 4.60 4017.791 -0.38 4085.23 1.29 4059.03 0.64 -0.43 4497.53 -0.85 4510.349 -0.57 4503.93 -0.71 4048.641 0.13 3987.41 -1.39 4101.12 1.43 4043.47 0.00 4453.22 0.28 4472.1 0.71 4484.779 0.99 4484.779 0.99 0.00 6880.679 -0.12 6863.889 -0.37 6863.889 -0.37 6897.559 0.12 5813.911 -0.83 5856.278 -0.10 5844.11 -0.31 5844.11 -0.31 5850.188 -0.21 1.67 1228.82 -1.70 1261.05 0.87 1235.84 -1.14 1231.78 -1.47 1230.97 -1.53 -0.24 6847.178 0.00 6847.178 0.00 6838.85 -0.12 6847.178 0.00 6838.85 -0.12 0.94 5825.95 0.21 5819.92 0.10 5807.901 -0.10 5813.911 0.00 5813.911 0.00 1228.82 -1.05 1238.29 -0.29 1245.7 0.31 1226.68 -1.22 1226.95 -1.20 1229.09 -1.03 -1.21 6855.52 -0.49 6830.549 -0.85 6863.889 -0.37 6897.559 0.12 6838.85 -0.73 6838.85 -0.73 0.94 5778.078 -0.21 5772.149 -0.31 5819.92 0.52 5819.92 0.52 5825.95 0.62 5831.989 0.73 1237.2 -0.57 1235.3 -0.72 1227.21 -1.38 1249.29 0.40 1243.77 -0.04 1243.49 -0.07 1238.56 -0.46 5.57 6940.1 5.18 6863.889 4.03 6756.701 2.40 6575.049 -0.35 6330.85 -4.05 6410.21 -2.85 6484.1 -1.73 7.55 7710.701 9.32 7415.889 5.14 7357.688 4.32 7253.33 2.84 6838.85 -3.04 6889.11 -2.33 6897.559 -2.21 2149.801 3.06 2239.681 7.37 2127.04 1.97 2089.891 0.19 2112.651 1.28 2021.54 -3.09 2045.81 -1.93 2038.39 -2.28 6373.89 6439.559 1.03 6388.369 0.23 7179.269 12.64 6410.21 0.57 6506.601 2.08 6211.989 -2.54 6366.669 -0.11 6260.388 -1.78 M10 6855.52 6914.51 0.86 7097.74 3.53 7606.43 10.95 7133.74 4.06 6983.188 1.86 6660.698 -2.84 6948.679 1.36 6822.259 -0.49 kNm M10 2012.14 2051.781 1.97 2060.801 2.42 2275 13.06 2093 4.02 2031.77 0.98 2024.45 0.61 2072.951 3.02 2037.65 1.27 Myb[3] kNm M10 6330.85 6830.549 7.89 6830.549 7.89 6552.078 3.49 6295.42 -0.56 6388.369 0.91 6316.63 -0.22 6097.51 -3.69 5936.63 -6.23 Myb[3]-p[01] kNm M10 6983.19 7106.701 1.77 7300.4 4.54 6974.53 -0.12 6676.5 -4.39 6814 -2.42 6872.278 -1.59 6491.579 -7.04 6506.601 -6.82 Myb[3]-p[02] kNm M10 1974.70 2094.561 6.07 2139.981 8.37 2037.65 3.19 1935.3 -2.00 1957.52 -0.87 1920.1 -2.76 1864.11 -5.60 1834.32 -7.11 Mzb[1] kNm M10 127.88 133.84 4.66 131.2 2.60 134.05 4.82 128.52 0.50 129.23 1.06 127.13 -0.59 127.49 -0.30 127.58 -0.23 Mzb[1]-p[01] kNm M10 127.65 133.96 4.94 130.95 2.59 133.93 4.92 127.49 -0.13 129.18 1.20 126.89 -0.60 127.43 -0.17 127.5 -0.12 Mzb[1]-p[02] kNm M10 65.13 66.92 2.75 66.44 2.01 67.32 3.36 65.63 0.77 65.31 0.28 63.91 -1.87 63.87 -1.93 64.51 -0.95 Mzb[2] kNm M10 123.86 130.27 5.18 126.62 2.23 126.7 2.29 126.15 1.85 123.62 -0.19 123.15 -0.57 124.21 0.28 124 0.11 Mzb[2]-p[01] kNm M10 123.79 130.23 5.20 126.58 2.25 126.66 2.32 126.11 1.87 123.38 -0.33 123.11 -0.55 124 0.17 123.93 0.11 Mzb[2]-p[02] kNm M10 64.47 66.51 3.16 65.22 1.16 65.22 1.16 63.68 -1.23 64.52 0.08 62.63 -2.85 63.38 -1.69 62.44 -3.15 Mzb[3] kNm M10 130.19 138.57 6.44 136.48 4.83 131.05 0.66 133.31 2.40 130.87 0.52 133.04 2.19 132.2 1.54 132.19 1.54 Mzb[3]-p[01] kNm M10 130.16 138.52 6.42 136.43 4.82 130.95 0.61 133.06 2.23 130.83 0.51 133 2.18 132.16 1.54 132.17 1.54 Mzb[3]-p[02] kNm M10 64.83 68.15 5.12 66.93 3.24 64.5 -0.51 65.44 0.94 64.65 -0.28 64.48 -0.54 63.11 -2.65 64.65 -0.28 Mxt[01] kNm M5 8081.77 12287.428 52.04 Mxt[02] kNm M5 1122.98 1283.83 14.32 Myt[02] kNm M5 4017.79 Myt[01] kNm M5 28633.63 Mzt[01] kNm M5 4453.22 4582.21 2.90 4497.53 1.00 Mzt[02] kNm M5 4453.22 4582.21 2.90 4497.53 1.00 4349.159 4012.701 -0.13 37006.023 29.24 61437.203 660.19 10743.676 32.94 10671.209 32.04 13786.557 70.59 216.54 012-400 -4.11 14750.646 82.52 5.20 15030.945 85.99 12383.617 53.23 1227.55 9.31 1499.17 33.50 1135.07 1.08 1116.25 -0.60 1175.99 4.72 1156.64 3.00 1146.17 2.07 4133.259 2.87 4028.02 0.25 4095.811 1.94 4069.47 1.29 3977.39 -1.01 3918.28 -2.48 3923.14 -2.36 34961.5 22.10 29990.676 4.74 28895.129 0.91 28124.586 -1.78 4349.159 -2.34 4497.53 1.00 4459.498 0.14 4491.149 0.85 4453.22 0.00 4472.1 0.42 -2.34 4497.53 1.00 4459.498 0.14 4491.149 0.85 4453.22 0.00 4472.1 0.42 34205.566 19.46 33481.645 16.93 31799.148 11.06 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 49 Load set calculation DOWEC 6MW Appendix F. H. Efdé Tables pitch control. Pitch control, absolute extreme values 1B-5Vo Variable Unit baseline Fxn Fyn kN kN Fzn kN -972.67 -976.24 Mxn kNm 7399.00 6562.80 Mxn-r kNm 7411.90 6571.00 Myn Myn-r kNm kNm -10044.00 -10694.00 Mzn kNm Mzn-r kNm Mxb[1] 754.16 226.72 1B-5VoHTS 742.10 -277.43 % -1.60 22.37 1B-5VoLTS % 660.90 201.27 -12.37 -11.23 0.37 -969.69 -11.30 7014.70 -11.35 -10535.00 -11879.00 -10830.00 -11132.00 kNm Mxb[1]-p[01] Mxb[1]-p[02] kNm kNm Mxb[2] kNm Mxb[2]-p[01] kNm Mxb[2]-p[02] kNm Mxb[3] Mxb[3]-p[01] 1b5vo_PS % 753.58 224.89 -0.08 -0.81 -0.31 -967.03 -0.58 -5.19 7010.30 -5.25 7026.40 -5.20 7022.20 -5.26 4.89 11.08 -9333.80 -10147.00 -7.07 -5.12 -10082.00 -10642.00 0.38 -0.49 -11818.00 9.12 -9917.40 -8.43 10763.00 -0.62 -11954.00 7.38 -9305.30 -16.41 -11141.00 0.08 8565.80 6957.00 -18.78 7422.50 -13.35 8531.40 -0.40 -5831.90 1655.80 -5692.80 -1422.30 -2.39 -14.10 5387.10 1447.20 -7.63 -12.60 -5863.70 1651.50 0.55 -0.26 9271.40 8826.80 -4.80 9017.50 -2.74 9205.70 -0.71 -5266.30 -5332.90 1.26 -4815.30 -8.56 -5176.20 -1.71 -1134.90 -1223.70 7.82 -1090.90 -3.88 -1129.00 -0.52 kNm kNm 6321.20 -6438.30 5627.70 -6062.40 -10.97 -5.84 6054.90 -4498.40 -4.21 -30.13 6358.30 -6502.00 0.59 0.99 Mxb[3]-p[02] kNm -1569.00 -1495.30 -4.70 1022.90 -34.81 1580.50 0.73 Myb[1] kNm 7783.60 8248.70 5.98 7169.00 -7.90 7773.60 -0.13 Myb[1]-p[01] kNm 9875.40 9954.90 0.81 8440.60 -14.53 9866.60 -0.09 Myb[1]-p[02] Myb[2] kNm kNm 1858.10 13858.00 1869.90 14711.00 0.64 6.16 1677.80 11256.00 -9.70 -18.78 1858.30 13831.00 0.01 -0.19 Myb[2]-p[01] kNm 15152.00 16015.00 5.70 13110.00 -13.48 15077.00 -0.49 Myb[2]-p[02] kNm 4004.70 4145.20 3.51 3318.10 -17.14 3997.20 -0.19 Myb[3] Myb[3]-p[01] kNm kNm 8487.10 8286.80 8453.90 6869.70 -0.39 -17.10 7603.90 8115.60 -10.41 -2.07 8438.00 8291.70 -0.58 0.06 Myb[3]-p[02] kNm 2065.60 1665.00 -19.39 1823.90 -11.70 2035.10 -1.48 Mzb[1] kNm -200.46 -186.11 -7.16 -122.30 -38.99 -200.72 0.13 Mzb[1]-p[01] kNm -200.50 -186.17 -7.15 -122.34 -38.98 -200.76 0.13 Mzb[1]-p[02] Mzb[2] kNm kNm -122.62 106.43 -135.57 108.32 10.56 1.78 -93.55 84.59 -23.71 -20.52 -122.37 105.49 -0.20 -0.88 Mzb[2]-p[01] kNm 106.26 108.16 1.79 84.47 -20.51 105.33 -0.88 Mzb[2]-p[02] kNm -78.21 -80.53 2.97 -67.14 -14.15 -83.31 6.52 Mzb[3] kNm -193.56 -196.47 1.50 -150.14 -22.43 -194.17 0.32 Mzb[3]-p[01] Mzb[3]-p[02] kNm kNm -193.60 -126.19 -196.52 -135.91 1.51 7.70 -150.18 -105.71 -22.43 -16.23 -194.21 -124.07 0.32 -1.68 Mxt[01] kNm 65292.00 68094.00 4.29 44767.00 -31.44 63662.00 -2.50 Mxt[02] kNm 7840.50 7896.00 0.71 8152.90 3.98 7888.10 0.61 Myt[02] kNm -10690.00 -11312.00 5.82 -10228.00 -4.32 -10744.00 0.51 Myt[01] Mzt[01] kNm kNm 132960.00 -12024.00 91754.01 -13114.00 -30.99 9.07 84133.01 -11170.00 -36.72 -7.10 132330.00 -12024.00 -0.47 0.00 Mzt[02] kNm -12024.00 -13114.00 9.07 -11170.00 -7.10 -12024.00 0.00 Tip displ. flap[1] mm -4645.10 -4712.10 1.44 -4250.10 -8.50 -4643.60 -0.03 Tip disp. flap[2] mm 6194.50 6441.60 3.99 4675.10 -24.53 6210.00 0.25 Tip disp. flap[3] Tip displ. lag[1] mm mm -5266.10 2729.60 -5119.50 2205.40 -2.78 -19.20 -5427.90 2420.60 3.07 -11.32 -5258.60 2789.10 -0.14 2.18 Tip displ. lag[2] mm -3111.70 -3210.60 3.18 -2613.50 -16.01 -3131.70 0.64 Tip displ. lag[3] mm 2500.40 2592.50 3.68 3298.10 31.90 2633.90 5.34 X-defl[01] mm 0.00 0.00 X-defl[02] Y-defl[01] mm mm 1288.40 0.00 873.95 0.00 -32.17 817.70 0.00 -36.53 1276.20 0.00 -0.95 Y-defl[02] mm -722.62 -673.13 -6.85 -512.08 -29.14 -711.56 -1.53 0.00 0.00 NOTE: gamma = 1 NOTE: 1B-5VoLTS brake_overspeed on 14.0 rpm to prevent early shut down R45.04/01.03/03 Stentec, 3-1-03 page 50 Load set calculation DOWEC 6MW H. Efdé Pitch control, absolute extreme values E50025 Variable Unit baseline E50025HTS % Fxn Fyn kN kN 219.25 -754.32 275.63 -828.58 25.71 9.84 E50025LTS % E50025_PS % 219.24 -754.44 0.00 0.02 219.25 0.00 -754.32 0.00 Fzn kN -1061.40 -1044.80 -1.56 -1061.40 0.00 -1061.40 0.00 Mxn kNm -1811.20 1356.00 -25.13 -1811.20 0.00 -1811.20 0.00 Mxn-r kNm -1832.90 1372.20 -25.14 -1832.90 0.00 -1832.90 0.00 Myn Myn-r kNm kNm -5803.00 -7841.90 -6007.30 3.52 6502.10 -17.09 -5794.60 -0.14 -7836.40 -0.07 -5803.00 0.00 -7841.90 0.00 Mzn kNm -6118.30 -6006.60 -1.83 -6113.20 -0.08 -6118.30 0.00 Mzn-r kNm 6751.50 -6389.70 -5.36 6748.20 -0.05 6751.50 0.00 Mxb[1] Mxb[1]-p[01] kNm kNm 13230.00 6088.80 12258.00 6951.30 -7.35 14.17 13231.00 0.01 6085.50 -0.05 13230.00 0.00 6088.80 0.00 Mxb[1]-p[02] kNm 1848.00 2184.30 18.20 Mxb[2] kNm 13596.00 15138.00 11.34 Mxb[2]-p[01] kNm 5961.90 5457.70 Mxb[2]-p[02] Mxb[3] kNm kNm 1642.20 14612.00 Mxb[3]-p[01] kNm 4560.10 Mxb[3]-p[02] kNm 1405.30 Myb[1] kNm -5097.40 -5867.80 Myb[1]-p[01] Myb[1]-p[02] kNm kNm 12488.00 3305.00 11453.00 3317.10 Myb[2] kNm -5093.10 -5149.60 1.11 Myb[2]-p[01] kNm 12820.00 14450.00 12.71 Myb[2]-p[02] kNm 4009.50 3811.40 -4.94 4009.00 -0.01 4009.50 0.00 Myb[3] Myb[3]-p[01] kNm kNm -5115.30 14260.00 -4874.60 14314.00 -4.71 0.38 -5113.20 -0.04 14258.00 -0.01 -5115.30 0.00 14260.00 0.00 Myb[3]-p[02] kNm 4107.50 0.02 4107.50 0.00 Mzb[1] kNm 239.20 300.03 25.43 239.15 -0.02 239.20 0.00 Mzb[1]-p[01] kNm 239.09 299.91 25.44 239.04 -0.02 239.09 0.00 Mzb[1]-p[02] Mzb[2] kNm kNm 99.40 -202.11 112.76 13.44 -170.68 -15.55 99.36 -0.04 -202.05 -0.03 99.40 0.00 -202.11 0.00 Mzb[2]-p[01] kNm -202.11 -170.69 -15.55 -202.05 -0.03 -202.11 0.00 Mzb[2]-p[02] kNm -92.81 -81.00 -12.72 -92.78 -0.03 Mzb[3] kNm -166.83 -191.71 14.91 -166.88 0.03 -166.83 0.00 Mzb[3]-p[01] Mzb[3]-p[02] kNm kNm -166.79 -82.80 -191.66 -80.45 14.91 -2.84 -166.83 -82.82 0.02 0.02 -166.79 0.00 -82.80 0.00 Mxt[01] kNm 164060.00 194350.02 18.46 164110.00 0.03 164060.00 0.00 Mxt[02] kNm 3774.50 3595.70 -4.74 3775.00 0.01 3774.50 0.00 Myt[02] Myt[01] kNm kNm -6882.50 73903.00 -7122.60 102270.01 3.49 38.38 -6890.30 73907.00 0.11 0.01 -6882.50 0.00 73903.00 0.00 Mzt[01] kNm 9314.30 9228.40 -0.92 9317.80 0.04 9314.30 0.00 Mzt[02] kNm 9314.30 9228.40 -0.92 9317.80 0.04 9314.30 0.00 Tip displ. flap[1] mm -1030.60 -1207.20 17.14 -1029.20 -0.14 -1030.60 0.00 Tip disp. flap[2] mm Tip disp. flap[3] mm -1113.80 -1340.20 -1241.90 11.50 -1102.00 -17.77 -1111.10 -0.24 -1339.50 -0.05 -1113.80 0.00 -1340.20 0.00 Tip displ. lag[1] mm 8234.50 8888.50 7.94 8233.40 -0.01 8234.50 0.00 Tip displ. lag[2] mm 8537.20 7952.70 -6.85 8538.00 0.01 8537.20 0.00 Tip displ. lag[3] mm 7464.10 7866.40 5.39 7464.40 0.00 7464.10 0.00 0.00 677.65 0.00 865.69 27.75 0.00 678.04 0.06 0.00 677.65 0.00 8.31 -1656.40 0.03 -1655.90 0.00 1846.00 -0.11 1848.00 0.00 0.00 13596.00 0.00 -8.46 5961.40 -0.01 5961.90 0.00 1477.90 -10.00 15018.00 2.78 1641.60 -0.04 14609.00 -0.02 1642.20 0.00 14612.00 0.00 2.68 4558.60 -0.03 4560.10 0.00 1198.60 -14.71 1403.00 -0.16 1405.30 0.00 15.11 -5092.60 -0.09 -5097.40 0.00 -8.29 0.37 12488.00 3305.00 12488.00 0.00 3305.00 0.00 -4682.30 3580.70 -12.83 X-defl[01] X-defl[02] mm mm Y-defl[01] mm 0.00 0.00 Y-defl[02] mm -1655.90 -1793.50 13596.00 0.00 0.00 -5078.50 -0.29 -5093.10 0.00 12820.00 12820.00 0.00 4108.30 0.00 0.00 -92.81 0.00 0.00 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 51 Load set calculation DOWEC 6MW H. Efdé Pitch control, absolute extreme values E50335 Variable Unit baseline Fxn kN 208.05 E50335HTS 230.82 10.94 % E50335LTS % E50335_PS % 207.83 -0.11 Fyn kN 700.90 824.24 17.60 702.00 Fzn kN -969.49 -970.23 0.08 Mxn Mxn-r kNm kNm 1411.40 1428.30 1339.60 1355.70 -5.09 -5.08 Myn kNm 4403.20 4675.70 Myn-r kNm 5077.70 5330.90 Mzn kNm -5639.70 -6007.50 Mzn-r Mxb[1] kNm kNm 5612.50 -12138.00 Mxb[1]-p[01] kNm Mxb[1]-p[02] kNm Mxb[2] Mxb[2]-p[01] kNm kNm Mxb[2]-p[02] kNm Mxb[3] kNm Mxb[3]-p[01] kNm Mxb[3]-p[02] Myb[1] kNm kNm Myb[1]-p[01] kNm Myb[1]-p[02] kNm Myb[2] kNm -4269.60 -4308.10 0.90 -4266.20 -0.08 -4269.60 0.00 Myb[2]-p[01] Myb[2]-p[02] kNm kNm 12662.00 3483.80 12631.00 3151.40 -0.24 -9.54 12668.00 0.05 3482.50 -0.04 12662.00 0.00 3483.80 0.00 Myb[3] kNm -4631.40 -4698.90 1.46 -4626.60 -0.10 -4631.40 0.00 Myb[3]-p[01] kNm 11504.00 11631.00 1.10 11502.00 -0.02 11504.00 0.00 Myb[3]-p[02] kNm 3195.70 3213.20 0.55 3195.20 -0.02 3195.70 0.00 Mzb[1] Mzb[1]-p[01] kNm kNm 200.06 200.00 Mzb[1]-p[02] kNm 85.34 -81.09 -4.98 Mzb[2] kNm -180.79 -183.75 1.64 -180.93 0.08 -180.79 0.00 Mzb[2]-p[01] kNm -180.75 -183.70 1.63 -180.88 0.07 -180.75 0.00 Mzb[2]-p[02] Mzb[3] kNm kNm -78.89 -129.73 87.79 176.44 11.28 36.01 -78.94 -129.79 0.06 0.05 -78.89 0.00 -129.73 0.00 Mzb[3]-p[01] kNm -129.70 176.35 35.97 -129.77 0.05 -129.70 0.00 Mzb[3]-p[02] kNm -68.69 74.23 8.07 -68.71 0.03 -68.69 0.00 Mxt[01] Mxt[02] kNm kNm -150320.00 -3213.00 -159940.00 -3609.30 6.40 12.33 -150670.00 -3213.70 0.23 0.02 -150320.00 0.00 -3213.00 0.00 Myt[02] kNm 4799.60 5477.60 14.13 4789.10 -0.22 4799.60 0.00 Myt[01] kNm 61869.00 79146.00 27.93 61748.00 -0.20 61869.00 0.00 Mzt[01] kNm -8397.10 -8401.70 0.05 -8407.20 0.12 -8397.10 0.00 Mzt[02] kNm Tip displ. flap[1] mm -8397.10 -805.24 -8401.70 -831.82 0.05 3.30 -8407.20 0.12 -805.16 -0.01 -8397.10 0.00 -805.24 0.00 Tip disp. flap[2] mm -977.70 -1057.50 8.16 -976.73 -0.10 -977.70 0.00 Tip disp. flap[3] mm -1057.80 -1073.30 1.47 -1057.70 -0.01 -1057.80 0.00 Tip displ. lag[1] mm 8292.80 8976.60 8.25 8293.00 0.00 8292.80 0.00 Tip displ. lag[2] mm Tip displ. lag[3] mm 8024.70 7565.20 8137.40 7927.00 1.40 4.78 8038.10 7565.00 0.17 0.00 8024.70 0.00 7565.20 0.00 538.09 -0.20 539.15 0.00 208.05 0.00 0.16 700.90 0.00 -969.18 -0.03 -969.49 0.00 1412.00 1428.90 0.04 0.04 1411.40 0.00 1428.30 0.00 6.19 4393.50 -0.22 4403.20 0.00 4.99 5080.70 0.06 5077.70 0.00 6.52 -5628.40 -0.20 -5639.70 0.00 5840.50 -13362.00 4.06 10.08 5611.00 -0.03 -12140.00 0.02 5612.50 0.00 -12138.00 0.00 4783.40 4636.30 -3.08 4774.80 -0.18 4783.40 0.00 1443.70 1432.10 -0.80 1440.80 -0.20 13234.00 4617.90 13277.00 4829.60 0.32 4.58 1437.80 1455.40 1.22 1436.60 -0.08 1437.80 0.00 12028.00 12212.00 1.53 12027.00 -0.01 12028.00 0.00 -3822.50 4912.70 28.52 -3824.60 0.05 -3822.50 0.00 1173.40 -3928.40 1291.60 -3927.10 10.07 -0.03 1173.50 -3928.30 0.01 0.00 1173.40 0.00 -3928.40 0.00 -10783 -12201 13.15 -10785 0.02 -10783 0.00 -2745.7 -3057.7 11.36 -2745 -0.03 -2745.7 0.00 173.73 -13.16 173.64 -13.18 X-defl[01] mm 0.00 0.00 X-defl[02] mm 539.15 671.28 Y-defl[01] mm 0.00 0.00 Y-defl[02] mm 1542.20 1463.40 13235.00 4618.00 200.06 200.00 0.01 0.00 0.00 0.00 85.32 -0.02 0.00 24.51 1546.40 200.06 0.00 200.00 0.00 85.34 0.00 0.00 0.00 -5.11 1443.70 0.00 13234.00 0.00 4617.90 0.00 0.00 0.27 1542.20 0.00 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 52 Load set calculation DOWEC 6MW H. Efdé Pitch control, absolute extreme values EcdVrb Variable Unit baseline EcdVrbHTS Fxn kN 1083.70 1168.00 7.78 1093.70 0.92 Fyn kN 345.01 343.95 -0.31 336.96 -2.33 337.96 -2.04 Fzn Mxn kN kNm -972.91 6606.60 -966.62 5986.70 -0.65 -9.38 -945.73 6884.80 -2.79 4.21 -980.85 6244.00 0.82 -5.49 Mxn-r kNm 6611.40 5991.90 -9.37 6889.90 4.21 6249.50 -5.47 Myn kNm -19807.00 -19316.00 -2.48 -19439.00 -1.86 -19908.00 0.51 Myn-r kNm 17780.00 18508.00 4.09 18609.00 4.66 18047.00 1.50 Mzn Mzn-r kNm kNm -11417.00 -19443.00 -9913.60 17089.00 -13.17 -12.11 -9999.30 -12.42 15895.00 -18.25 -11236.00 -19489.00 -1.59 0.24 Mxb[1] kNm 5973.50 -6343.30 6.19 -6393.60 7.03 6132.70 2.67 Mxb[1]-p[01] kNm 8724.70 8824.10 1.14 -7066.90 -19.00 9024.60 3.44 Mxb[1]-p[02] kNm 2316.70 2441.80 5.40 -1866.00 -19.45 2388.10 3.08 Mxb[2] Mxb[2]-p[01] kNm kNm 7662.00 12371.00 5921.50 9228.60 -22.72 -25.40 6035.80 -21.22 8581.40 -30.63 8108.90 12652.00 5.83 2.27 Mxb[2]-p[02] kNm 3228.20 2442.10 -24.35 2273.30 -29.58 3261.00 1.02 Mxb[3] kNm -6290.20 7774.00 23.59 7929.20 26.06 6164.50 -2.00 Mxb[3]-p[01] Mxb[3]-p[02] kNm kNm 8187.70 2209.80 11649.00 2956.90 42.27 33.81 11213.00 2934.10 36.95 32.78 8018.40 2132.40 -2.07 -3.50 Myb[1] kNm -18723.00 16627.00 -11.19 12862.00 -31.30 -19045.00 1.72 Myb[1]-p[01] kNm -16048 16677.00 3.92 13177.00 -17.89 -16215 1.04 Myb[1]-p[02] kNm -5259.4 5170.30 -1.69 4093.90 -22.16 -5285.9 0.50 Myb[2] Myb[2]-p[01] kNm kNm -21537.00 -16598 -18884.00 -15747 -12.32 -5.13 -18062.00 -16.14 -15431 -7.03 -21946.00 -16803 1.90 1.24 Myb[2]-p[02] kNm -5599.8 -5173.5 -7.61 -5045.9 -9.89 -5685.2 1.53 Myb[3] kNm 15600.00 -20595.00 32.02 -19027.00 21.97 15742.00 0.91 Myb[3]-p[01] kNm 15759.00 15958.00 1.26 15574.00 -1.17 15896.00 0.87 Myb[3]-p[02] Mzb[1] kNm kNm 4852.80 490.22 -5367.6 279.88 10.61 -42.91 -5066.4 4.40 -230.27 -53.03 4894.60 460.35 0.86 -6.09 Mzb[1]-p[01] kNm 489.89 279.67 -42.91 -230.30 -52.99 460.02 -6.10 Mzb[1]-p[02] kNm 170.65 -184.86 8.33 -155.21 153.33 -10.15 Mzb[2] kNm 735.27 464.44 -36.83 437.08 -40.56 738.61 0.45 Mzb[2]-p[01] Mzb[2]-p[02] kNm kNm 734.82 264.44 464.12 151.82 -36.84 -42.59 436.78 -40.56 143.45 -45.75 738.15 262.80 0.45 -0.62 Mzb[3] kNm -261.79 631.35 141.17 572.95 118.86 -274.89 5.00 Mzb[3]-p[01] kNm -261.83 630.97 140.98 572.58 118.68 -274.93 5.00 Mzb[3]-p[02] kNm -182.14 232.07 27.41 200.51 10.09 -186.42 2.35 Mxt[01] Mxt[02] kNm kNm -54353.00 6752.50 -54851.00 6159.40 0.92 -8.78 -56518.00 7198.70 3.98 6.61 -57951.00 6399.60 6.62 -5.23 Myt[02] kNm -22697.00 -21954.00 -3.27 -22017.00 -3.00 -22749.00 0.23 Myt[01] kNm -184930.02 -158710.00 -14.18 -158660.00 -14.21 -187630.02 1.46 Mzt[01] kNm -12445.00 -11343.00 -8.85 -11041.00 -11.28 -12335.00 -0.88 Mzt[02] kNm Tip displ. flap[1] mm -12445.00 -11994.00 -11343.00 9443.20 -8.85 -21.27 -11041.00 -11.28 -7486.90 -37.58 -12335.00 -11985.00 -0.88 -0.08 Tip disp. flap[2] mm -13519.00 -11834.00 -12.46 -11475.00 -15.12 Tip disp. flap[3] mm 8701.10 -13115.00 50.73 Tip displ. lag[1] mm Tip displ. lag[2] mm 7354.10 6087.10 6006.10 7327.10 -18.33 20.37 Tip displ. lag[3] mm -5.06 5859.00 5562.60 X-defl[01] mm 0.00 0.00 X-defl[02] mm -2049.80 -1630.10 Y-defl[01] Y-defl[02] mm mm 0.00 546.94 0.00 489.39 % EcdVrbLTS % 964.94 -10.96 -9.05 -10.52 % -13645.00 0.93 43.11 -8813.30 1.29 5752.10 -21.78 7263.70 19.33 7380.90 6132.60 0.36 0.75 5426.00 5869.00 0.17 -12452.00 -7.39 0.00 -20.48 EcdVrb_PS 0.00 -1773.20 -13.49 0.00 558.73 2.16 -2083.30 1.63 0.00 574.29 5.00 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 53 Load set calculation DOWEC 6MW H. Efdé Pitch control, absolute extreme values Eog50_12 Variable Unit baseline Fxn kN 1260.50 Fyn kN 65.24 Fzn Mxn kN kNm Mxn-r kNm 6796.80 Myn kNm -5587.50 Myn-r kNm -4434.80 Mzn Mzn-r kNm kNm Mxb[1] Mxb[1]-p[01] -849.91 6788.90 Eog50_12HTS 1346.40 % Eog50_12LTS % 6.81 1026.80 -18.54 58.05 -11.02 35.77 -45.17 -857.22 6351.00 0.86 -6.45 -810.47 7096.20 -4.64 4.53 6360.40 -6.42 7101.60 4.48 -4867.80 -12.88 5654.50 2024.60 -63.77 Eog50_12_PS % 1218.60 -3.32 60.34 -7.51 -850.17 0.03 6484.50 -4.48 6491.00 -4.50 -5650.20 1.12 27.50 -2687.60 -39.40 -4346.10 -2.00 -4047.20 -6403.70 -4354.40 7.59 -4938.70 -22.88 1995.60 -50.69 -2054.40 -67.92 -3966.00 -2.01 -6246.70 -2.45 kNm 6471.50 5347.10 -17.37 5731.40 -11.44 6218.40 -3.91 kNm 8743.80 5206.00 -40.46 -4304.70 -50.77 8624.70 -1.36 Mxb[1]-p[02] kNm 2395.20 1778.90 -25.73 903.97 -62.26 2368.10 -1.13 Mxb[2] Mxb[2]-p[01] kNm kNm 5695.30 11520.00 6132.40 11151.00 7.67 -3.20 6509.40 14.29 -4157.00 -63.91 5624.60 -1.24 11201.00 -2.77 Mxb[2]-p[02] kNm 3036.60 2956.40 -2.64 -799.37 -73.68 2910.30 -4.16 Mxb[3] kNm 5347.60 5589.40 4.52 5907.00 10.46 5313.30 -0.64 Mxb[3]-p[01] Mxb[3]-p[02] kNm kNm 6807.80 2182.50 11190.00 2879.20 64.37 31.92 -4535.20 -33.38 950.19 -56.46 6740.90 -0.98 2152.70 -1.37 Myb[1] kNm 18110.00 17462.00 -3.58 13247.00 -26.85 17200.00 -5.02 Myb[1]-p[01] kNm 18006.00 16307.00 -9.44 12449.00 -30.86 17162.00 -4.69 Myb[1]-p[02] kNm 5508.70 5066.80 -8.02 4145.00 -24.76 Myb[2] Myb[2]-p[01] kNm kNm 15815.00 15647.00 18510.00 18393.00 17.04 17.55 Myb[2]-p[02] kNm 4775.80 5577.90 16.80 Myb[3] kNm 16475.00 16575.00 0.61 Myb[3]-p[01] kNm 15337.00 16135.00 Myb[3]-p[02] Mzb[1] kNm kNm 4833.20 339.46 Mzb[1]-p[01] kNm Mzb[1]-p[02] kNm Mzb[2] kNm 485.38 484.58 Mzb[2]-p[01] Mzb[2]-p[02] kNm kNm 485.14 191.49 484.31 175.27 Mzb[3] kNm 251.46 Mzb[3]-p[01] kNm 251.25 Mzb[3]-p[02] kNm Mxt[01] Mxt[02] kNm kNm Myt[02] kNm Myt[01] kNm Mzt[01] 5208.20 -5.46 15005.00 15075.00 -5.12 -3.66 15097.00 -4.54 14953.00 -4.44 4875.20 2.08 4525.80 -5.23 13613.00 -17.37 15877.00 -3.63 5.20 13719.00 -10.55 14724.00 -4.00 4954.20 2.50 224.39 -33.90 4294.80 -11.14 132.76 -60.89 4624.80 -4.31 341.63 0.64 339.25 224.01 -33.97 132.60 -60.91 -131.22 -110.73 -15.61 49.39 -62.36 -122.91 -6.33 -0.16 114.66 -76.38 459.80 -5.27 -0.17 -8.47 114.55 -76.39 -58.11 -69.65 459.59 -5.27 182.18 -4.86 477.98 90.08 105.30 -58.12 264.69 5.26 477.72 90.14 105.16 -58.15 264.47 5.26 -98.61 179.46 81.99 -43.58 -55.81 -95.84 -2.81 -53142.00 7484.70 -57218.00 6981.60 7.67 -6.72 32217.00 -39.38 7632.50 1.97 -52623.00 -0.98 7144.70 -4.54 -8710.20 -7962.50 -8.58 -2339.10 -73.15 -8629.40 -0.93 -256050.02 -272180.00 6.30 127870.01 -50.06 -250910.02 -2.01 341.42 0.64 kNm -4078.80 -4528.70 11.03 1288.60 -68.41 -3943.50 -3.32 Mzt[02] kNm Tip displ. flap[1] mm -4078.80 10095.00 -4528.70 -9467.70 11.03 -6.21 1288.60 -68.41 7136.20 -29.31 -3943.50 -3.32 9404.90 -6.84 Tip disp. flap[2] mm -9710.40 10268.00 5.74 8740.30 -9.99 -9576.10 -1.38 Tip disp. flap[3] mm -9231.10 -10145.00 9.90 7560.90 -18.09 -9194.60 -0.40 Tip displ. lag[1] mm Tip displ. lag[2] mm 4678.60 4297.30 5007.10 4903.70 7.02 14.11 -1822.80 -61.04 -2239.90 -47.88 4637.30 -0.88 4288.90 -0.20 Tip displ. lag[3] mm 5028.80 4485.20 -10.81 -1610.40 -67.98 5045.50 X-defl[01] mm 0.00 0.00 X-defl[02] mm -2663.00 -2554.90 Y-defl[01] Y-defl[02] mm mm 0.00 541.48 0.00 533.34 0.00 0.33 0.00 -4.06 1333.10 -49.94 -2610.00 -1.99 -1.50 0.00 -389.73 -28.03 0.00 532.27 -1.70 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 54 Load set calculation DOWEC 6MW H. Efdé Pitch control, absolute extreme values GrEog1Voc Variable Unit baseline GrEog1VocHTS Fxn kN 1021.8 1062.20 3.95 900.47 -11.87 1019.10 -0.26 Fyn kN -169.41 -168.47 -0.55 -180.93 6.80 -165.57 -2.27 Fzn Mxn kN kNm -832.81 7125.5 -881.72 6646.00 5.87 -6.73 -860.47 6867.20 3.32 -3.63 -833.17 0.04 6970.70 -2.17 Mxn-r kNm 7132.3 6661.30 -6.60 6879.40 -3.55 6977.30 -2.17 Myn kNm 8918.3 10324.00 15.76 9465.00 6.13 Myn-r kNm -7610.5 9773.20 28.42 9103.30 19.62 Mzn Mzn-r kNm kNm -6638.6 -8863.6 -8273.20 24.62 7624.70 -13.98 -7624.60 -7048.50 14.85 -20.48 -6863.00 -9081.60 3.38 2.46 Mxb[1] kNm -6555.6 5833.30 -11.02 5879.50 -10.31 -6616.30 0.93 Mxb[1]-p[01] kNm 5917.3 12066.00 103.91 10015.00 69.25 5815.90 -1.71 Mxb[1]-p[02] kNm 1860.6 76.44 2803.80 50.69 1937.80 Mxb[2] Mxb[2]-p[01] kNm kNm 5374.4 9879.6 -7194.90 33.87 8810.90 -10.82 -6322.90 7657.00 17.65 -22.50 5389.60 0.28 9749.50 -1.32 Mxb[2]-p[02] kNm 2653.6 2586.90 -2.51 2320.20 -12.56 2610.80 -1.61 Mxb[3] kNm 5821.5 6046.90 3.87 6074.40 4.34 5822.20 0.01 Mxb[3]-p[01] Mxb[3]-p[02] kNm kNm 11389 3196.6 8335.80 -26.81 2256.30 -29.42 6637.10 -1841.70 -41.72 -42.39 11448.00 3210.70 0.52 0.44 Myb[1] kNm -12621 16.77 -11525.00 -8.68 -12914.00 2.32 Myb[1]-p[01] kNm -12395 8617.40 -30.48 7961.10 -35.77 -12518 0.99 Myb[1]-p[02] kNm -4493.2 -3404 -24.24 -2641.3 -41.22 -4544.2 1.14 Myb[2] Myb[2]-p[01] kNm kNm -10652 7048.9 -16909.00 58.74 -14377 103.96 -14056.00 -12050 31.96 70.95 Myb[2]-p[02] kNm -2139.5 -5069.6 136.95 Myb[3] kNm -15365 11255.00 -26.75 8287.70 -46.06 -15252.00 -0.74 Myb[3]-p[01] kNm 11051 11195.00 1.30 7864.20 -28.84 10915.00 -1.23 Myb[3]-p[02] Mzb[1] kNm kNm -3818.1 -222.96 -2660.2 -30.33 375.85 68.57 -2154.3 244.95 -43.58 9.86 -3739.7 -2.05 -219.38 -1.61 Mzb[1]-p[01] kNm -223 68.46 244.86 9.80 -219.41 -1.61 Mzb[1]-p[02] kNm -165.8 -130.85 -21.08 -97.85 -40.98 -164.82 -0.59 Mzb[2] kNm 209.39 422.73 101.89 335.87 60.40 206.28 -1.49 Mzb[2]-p[01] Mzb[2]-p[02] kNm kNm 209.33 -148.62 422.36 101.77 -169.51 14.06 335.60 -135.65 60.32 -8.73 206.22 -1.49 -151.37 1.85 Mzb[3] kNm 442.32 -225.72 -48.97 -169.84 -61.60 428.95 -3.02 Mzb[3]-p[01] kNm 442.08 -225.82 -48.92 -169.91 -61.57 428.71 -3.02 Mzb[3]-p[02] kNm 154.28 -171.80 11.36 -128.93 -16.43 149.36 -3.19 Mxt[01] Mxt[02] kNm kNm 68493 6400.4 65642.00 6214.30 -4.16 -2.91 54625.00 6468.60 -20.25 1.07 66738.00 -2.56 6197.30 -3.17 Myt[02] kNm 9533.9 10256.00 7.57 9462.30 -0.75 Myt[01] kNm -281560 -295470.00 4.94 -230930.02 -17.98 Mzt[01] 3282.80 -14738.00 375.67 % GrEog1VocLTS % -4447.5 107.88 GrEog1Voc_PS % 9095.60 1.99 -7433.20 -2.33 4.15 -10600.00 -0.49 7112.10 0.90 -2120.2 -0.90 9627.40 0.98 -281050.00 -0.18 kNm -6251.2 -8380.30 34.06 -7612.00 21.77 -6509.50 4.13 Mzt[02] kNm Tip displ. flap[1] mm -6251.2 -9901.8 -8380.30 34.06 -8181.00 -17.38 -7612.00 -6609.80 21.77 -33.25 -6509.50 -9989.40 4.13 0.88 Tip disp. flap[2] mm -5518.6 98.73 -9514.10 72.40 -5451.90 -1.21 Tip disp. flap[3] mm -9006.1 -6839.40 -24.06 -5694.00 -36.78 -8864.10 -1.58 Tip displ. lag[1] mm Tip displ. lag[2] mm 7315.1 4735.3 5841.20 -20.15 8012.10 69.20 5144.60 7615.30 -29.67 60.82 7382.50 0.92 4710.10 -0.53 Tip displ. lag[3] mm 6469 4557.50 -29.55 4222.60 -34.73 6397.70 -1.10 -10967.00 X-defl[01] mm 0 0.00 X-defl[02] mm -2923 -2720.40 Y-defl[01] Y-defl[02] mm mm 0 -701.86 0.00 0.00 -6.93 -2382.70 -18.48 -2916.80 -0.21 0.00 -592.68 -15.56 0.00 -561.16 -20.05 0.00 -683.87 -2.56 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 55 Load set calculation DOWEC 6MW H. Efdé Pitch control, 24 m/s 1Hz equivalent values Variable Fxn Fyn Fzn Mxn Mxn-r Myn Myn-r Mzn Mzn-r Mxb[1] Mxb[1]-p[01] Mxb[1]-p[02] Mxb[2] Mxb[2]-p[01] Mxb[2]-p[02] Mxb[3] Mxb[3]-p[01] Mxb[3]-p[02] Myb[1] Myb[1]-p[01] Myb[1]-p[02] Myb[2] Myb[2]-p[01] Myb[2]-p[02] Myb[3] Myb[3]-p[01] Myb[3]-p[02] Mzb[1] Mzb[1]-p[01] Mzb[1]-p[02] Mzb[2] Mzb[2]-p[01] Mzb[2]-p[02] Mzb[3] Mzb[3]-p[01] Mzb[3]-p[02] Mxt[01] Mxt[02] Myt[02] Myt[01] Mzt[01] Mzt[02] unit kN kN kN kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm mat.curve baseline 024HTS M5 262.38 279.17 M5 192.75 192.56 M5 152.25 152.95 M5 2053.88 2030.16 M5 2064.61 2036.70 M5 6246.82 6543.98 M5 7054.66 7054.66 M5 6043.96 6321.70 M5 6724.79 7349.63 M10 8217.62 8278.08 M10 6536.84 6789.33 M10 1601.41 1677.33 M10 8339.45 8339.45 M10 6740.51 6781.14 M10 1698.61 1694.52 M10 8181.75 8327.10 M10 6432.20 6582.75 M10 1600.50 1626.41 M10 7679.12 8401.73 M10 8376.71 8907.30 M10 2409.49 2549.26 M10 8052.91 7995.67 M10 8439.55 8477.70 M10 2455.77 2379.92 M10 8146.21 8253.79 M10 8949.81 8978.38 M10 2640.20 2632.79 M10 123.53 133.60 M10 123.48 133.56 M10 76.04 85.84 M10 137.27 141.50 M10 137.22 141.44 M10 79.77 82.48 M10 135.58 139.02 M10 135.53 138.96 M10 78.00 77.50 M5 34205.57 31799.15 M5 2160.47 2169.36 M5 6372.64 6682.19 M5 39798.94 43047.84 M5 6946.24 7349.63 M5 6946.24 7349.63 % 024LTS 6.40 225.83 -0.10 163.49 0.46 132.48 -1.15 2334.20 -1.35 2344.58 4.76 5634.93 0.00 6197.87 4.60 5394.74 9.29 6296.54 0.74 7861.57 3.86 5893.09 4.74 1430.01 0.00 7950.47 0.60 6171.10 -0.24 1516.77 1.78 7995.67 2.34 5886.92 1.62 1458.56 9.41 7689.62 6.33 8401.73 5.80 2358.96 -0.71 7465.10 0.45 8278.08 -3.09 2382.95 1.32 6940.10 0.32 8029.91 -0.28 2380.93 8.15 114.40 8.16 114.35 12.89 68.10 3.08 107.70 3.08 107.66 3.40 67.65 2.54 116.84 2.53 117.03 -0.64 70.39 -7.04 28895.13 0.41 2431.05 4.86 5747.53 8.16 34961.50 5.81 6222.25 5.81 6222.25 % 024PS % -13.93 261.02 -0.52 -15.18 189.68 -1.59 -12.99 150.55 -1.12 13.65 2060.57 0.33 13.56 2065.95 0.06 -9.80 6210.04 -0.59 -12.15 7038.96 -0.22 -10.74 6020.96 -0.38 -6.37 6739.11 0.21 -4.33 8193.68 -0.29 -9.85 6567.38 0.47 -10.70 1604.61 0.20 -4.66 8290.28 -0.59 -8.45 6708.36 -0.48 -10.71 1685.88 -0.75 -2.27 8146.21 -0.43 -8.48 6439.56 0.11 -8.87 1614.27 0.86 0.14 7905.77 2.95 0.30 8351.83 -0.30 -2.10 2478.50 2.86 -7.30 8099.29 0.58 -1.91 8452.23 0.15 -2.97 2440.85 -0.61 -14.81 8134.43 -0.14 -10.28 8921.42 -0.32 -9.82 2656.41 0.61 -7.39 121.20 -1.89 -7.39 121.15 -1.89 -10.44 74.83 -1.59 -21.54 132.69 -3.34 -21.54 132.64 -3.34 -15.19 79.49 -0.35 -13.82 141.34 4.25 -13.65 141.28 4.24 -9.76 78.00 0.00 -15.53 33839.73 -1.07 12.52 2194.94 1.60 -9.81 6359.83 -0.20 -12.15 39798.94 0.00 -10.42 6885.78 -0.87 -10.42 6885.78 -0.87 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 56 Load set calculation DOWEC 6MW H. Efdé Pitch control, 18 m/s 1Hz equivalent values Variable Fxn Fyn Fzn Mxn Mxn-r Myn Myn-r Mzn Mzn-r Mxb[1] Mxb[1]-p[01] Mxb[1]-p[02] Mxb[2] Mxb[2]-p[01] Mxb[2]-p[02] Mxb[3] Mxb[3]-p[01] Mxb[3]-p[02] Myb[1] Myb[1]-p[01] Myb[1]-p[02] Myb[2] Myb[2]-p[01] Myb[2]-p[02] Myb[3] Myb[3]-p[01] Myb[3]-p[02] Mzb[1] Mzb[1]-p[01] Mzb[1]-p[02] Mzb[2] Mzb[2]-p[01] Mzb[2]-p[02] Mzb[3] Mzb[3]-p[01] Mzb[3]-p[02] Mxt[01] Mxt[02] Myt[02] Myt[01] Mzt[01] Mzt[02] unit kN kN kN kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm mat.curve baseline 018HTS % 018LTS % 018PS M5 225.70 232.34 2.94 203.27 -9.94 225.20 M5 134.10 143.45 6.97 114.76 -14.42 140.16 M5 98.38 102.33 4.02 89.31 -9.22 96.70 M5 1430.71 1478.85 3.36 1619.66 13.21 1442.45 M5 1438.51 1485.10 3.24 1615.52 12.31 1449.72 M5 4863.97 5099.14 4.83 4497.53 -7.53 4841.64 M5 5182.66 5497.85 6.08 4761.50 -8.13 5099.14 M5 4826.87 4932.21 2.18 4367.17 -9.52 4718.89 M5 5216.84 5349.14 2.54 4826.87 -7.48 5331.11 M10 7262.69 7319.40 0.78 7053.24 -2.88 7272.08 M10 5880.77 5999.95 2.03 5605.34 -4.68 5942.90 M10 1338.47 1349.72 0.84 1262.75 -5.66 1333.71 M10 7357.69 7406.13 0.66 7053.24 -4.14 7253.33 M10 5936.63 6130.74 3.27 5561.00 -6.33 5949.19 M10 1357.53 1370.43 0.95 1227.48 -9.58 1326.48 M10 7319.40 7338.49 0.26 7160.99 -2.16 7281.50 M10 5874.63 5993.56 2.02 5511.96 -6.17 5795.93 M10 1307.06 1347.77 3.11 1228.55 -6.01 1293.24 M10 7035.60 6469.19 -8.05 5993.56 -14.81 6814.00 M10 7700.14 7565.51 -1.75 6454.34 -16.18 7585.91 M10 2187.42 2060.80 -5.79 1900.00 -13.14 2137.54 M10 6239.55 6948.68 11.37 5795.93 -7.11 6461.75 M10 7079.87 7170.12 1.27 6847.18 -3.29 7367.33 M10 1909.67 1877.80 -1.67 1914.87 0.27 2088.34 M10 6652.82 7097.74 6.69 6246.48 -6.11 6402.91 M10 7455.21 7627.06 2.31 6764.83 -9.26 7000.57 M10 2014.30 2148.98 6.69 1999.27 -0.75 1875.92 M10 112.49 115.25 2.45 99.73 -11.34 112.19 M10 112.50 115.21 2.41 99.70 -11.38 112.36 M10 63.80 63.67 -0.20 56.66 -11.19 64.22 M10 111.63 115.23 3.22 103.99 -6.84 114.54 M10 111.54 115.18 3.26 103.46 -7.24 114.49 M10 61.75 67.06 8.60 60.11 -2.66 62.57 M10 119.40 119.15 -0.21 101.78 -14.76 115.59 M10 118.64 119.10 0.39 101.74 -14.24 115.55 M10 63.97 66.73 4.31 56.26 -12.05 63.53 M5 20612.49 17529.18 -14.96 19003.10 -7.81 26700.56 M5 1567.50 1566.73 -0.05 1677.18 7.00 1542.29 M5 4901.65 5260.20 7.31 4440.72 -9.40 4894.07 M5 30868.45 32121.98 4.06 28124.59 -8.89 31482.75 M5 5497.85 5565.55 1.23 4901.65 -10.84 5268.96 M5 5497.85 5565.55 1.23 4901.65 -10.84 5268.96 % -0.22 4.52 -1.71 0.82 0.78 -0.46 -1.61 -2.24 2.19 0.13 1.06 -0.36 -1.42 0.21 -2.29 -0.52 -1.34 -1.06 -3.15 -1.48 -2.28 3.56 4.06 9.36 -3.76 -6.10 -6.87 -0.27 -0.12 0.66 2.61 2.64 1.33 -3.19 -2.60 -0.69 29.54 -1.61 -0.15 1.99 -4.16 -4.16 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 57 Load set calculation DOWEC 6MW H. Efdé Pitch control, 12 m/s 1Hz equivalent values Variable Fxn Fyn Fzn Mxn Mxn-r Myn Myn-r Mzn Mzn-r Mxb[1] Mxb[1]-p[01] Mxb[1]-p[02] Mxb[2] Mxb[2]-p[01] Mxb[2]-p[02] Mxb[3] Mxb[3]-p[01] Mxb[3]-p[02] Myb[1] Myb[1]-p[01] Myb[1]-p[02] Myb[2] Myb[2]-p[01] Myb[2]-p[02] Myb[3] Myb[3]-p[01] Myb[3]-p[02] Mzb[1] Mzb[1]-p[01] Mzb[1]-p[02] Mzb[2] Mzb[2]-p[01] Mzb[2]-p[02] Mzb[3] Mzb[3]-p[01] Mzb[3]-p[02] Mxt[01] Mxt[02] Myt[02] Myt[01] Mzt[01] Mzt[02] unit kN kN kN kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm kNm mat.curve baseline 012HTS M5 226.47 244.46 M5 101.86 110.42 M5 71.95 80.79 M5 993.87 1052.39 M5 997.32 1057.66 M5 4095.81 4278.58 M5 4510.35 4649.54 M5 4048.64 4165.91 M5 4497.53 4704.85 M10 6923.02 7062.10 M10 5886.92 6012.78 M10 1252.63 1280.58 M10 6863.89 6983.19 M10 5807.90 5949.19 M10 1247.35 1252.63 M10 6889.11 6948.68 M10 5825.95 5999.95 M10 1247.63 1287.32 M10 6567.38 6582.75 M10 7035.60 6940.10 M10 2097.69 1999.98 M10 6267.36 6724.40 M10 6732.44 7328.93 M10 2004.97 2170.54 M10 6295.42 6469.19 M10 6814.00 6668.59 M10 2007.83 1971.24 M10 128.47 140.94 M10 128.35 140.88 M10 64.47 69.73 M10 125.66 137.34 M10 126.90 137.12 M10 64.84 66.76 M10 132.38 144.60 M10 132.31 144.55 M10 65.72 69.01 M5 8494.00 10390.86 M5 1141.62 1159.19 M5 4111.78 4272.80 M5 29709.08 30868.45 M5 4453.22 4608.90 M5 4453.22 4608.90 % 012LTS 7.94 239.19 8.40 88.13 12.29 63.06 5.89 1512.79 6.05 1518.60 4.46 3422.40 3.09 3903.78 2.90 3441.01 4.61 3846.82 2.01 6855.52 2.14 5801.91 2.23 1279.41 1.74 6923.02 2.43 5784.02 0.42 1257.39 0.86 6830.55 2.99 5742.68 3.18 1268.16 0.23 6772.97 -1.36 7179.27 -4.66 2125.43 7.29 6772.97 8.86 7000.57 8.26 2208.03 2.76 6872.28 -2.13 7700.14 -1.82 2383.96 9.71 126.43 9.76 126.33 8.16 62.67 9.29 117.41 8.05 117.15 2.96 60.39 9.23 119.49 9.25 119.40 5.01 61.66 22.33 7726.53 1.54 1570.62 3.92 3545.11 3.90 30570.20 3.50 3846.82 3.50 3846.82 % 012PS % 5.62 209.11 -7.67 -13.48 101.25 -0.60 -12.36 68.65 -4.59 52.21 1042.33 4.88 52.27 1025.77 2.85 -16.44 4095.81 0.00 -13.45 4453.22 -1.27 -15.01 4053.83 0.13 -14.47 4491.15 -0.14 -0.98 6906.02 -0.25 -1.44 5795.93 -1.55 2.14 1235.57 -1.36 0.86 6872.28 0.12 -0.41 5813.91 0.10 0.80 1218.18 -2.34 -0.85 6822.26 -0.97 -1.43 5778.08 -0.82 1.65 1209.01 -3.10 3.13 6012.78 -8.44 2.04 6521.69 -7.30 1.32 1825.98 -12.95 8.07 5772.15 -7.90 3.98 6316.63 -6.18 10.13 1771.91 -11.62 9.16 5880.77 -6.59 13.00 6559.72 -3.73 18.73 1778.08 -11.44 -1.59 124.23 -3.30 -1.57 124.16 -3.26 -2.79 62.77 -2.64 -6.57 118.28 -5.87 -7.68 118.21 -6.85 -6.86 60.48 -6.72 -9.74 125.81 -4.96 -9.76 125.51 -5.14 -6.18 61.89 -5.83 -9.04 10743.68 26.49 37.58 1188.80 4.13 -13.78 4085.23 -0.65 2.90 25011.98 -15.81 -13.62 4459.50 0.14 -13.62 4459.50 0.14 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 58 Load set calculation DOWEC 6MW Appendix G. H. Efdé Tables tapered blade. Tapered blade, absolute extreme values 1B-5Vo Variable Unit baseline 1B-5VoB Fxn kN 754.16 749.52 % -0.62 Fyn kN 226.72 253.45 11.79 Fzn kN -972.67 -975.28 0.27 Mxn Mxn-r kNm kNm 7399.00 7411.90 7319.90 7332.10 -1.07 -1.08 Myn kNm -10044.00 -9405.00 -6.36 Myn-r kNm -10694.00 -10383.00 -2.91 Mzn kNm -10830.00 -10507.00 -2.98 Mzn-r Mxb[1] kNm kNm -11132.00 8565.80 -10539.00 8601.60 -5.33 0.42 Mxb[1]-p[01] kNm -5831.90 5791.20 -0.70 Mxb[1]-p[02] kNm 1655.80 1620.90 -2.11 Mxb[2] kNm 9271.40 9031.20 -2.59 Mxb[2]-p[01] Mxb[2]-p[02] kNm kNm -5266.30 -1134.90 -5261.60 -1119.10 -0.09 -1.39 Mxb[3] kNm 6321.20 6212.70 -1.72 Mxb[3]-p[01] kNm -6438.30 -6055.90 -5.94 Mxb[3]-p[02] kNm -1569.00 -1452.50 -7.43 Myb[1] Myb[1]-p[01] kNm kNm 7783.60 -9875.40 7790.70 -10059.00 0.09 1.86 Myb[1]-p[02] kNm -1858.10 -1798.90 -3.19 Myb[2] kNm 13858.00 13317.00 -3.90 Myb[2]-p[01] Myb[2]-p[02] kNm kNm -15152.00 -4004.70 -14577.00 -3691.90 -3.79 -7.81 Myb[3] kNm 8487.10 8148.00 -4.00 Myb[3]-p[01] kNm -8286.80 -8247.00 -0.48 Myb[3]-p[02] kNm -2065.60 -1961.50 -5.04 Mzb[1] Mzb[1]-p[01] kNm kNm -200.46 -200.50 -179.97 -10.22 -180.01 -10.22 Mzb[1]-p[02] kNm -122.62 -114.01 -7.02 Mzb[2] kNm 106.43 103.69 -2.57 Mzb[2]-p[01] kNm 106.26 103.53 -2.57 Mzb[2]-p[02] Mzb[3] kNm kNm -78.21 -193.56 -68.76 -12.08 -188.15 -2.79 Mzb[3]-p[01] kNm -193.60 -188.19 -2.79 Mzb[3]-p[02] kNm -126.19 -114.82 -9.01 Mxt[01] kNm 65292.00 63571.00 -2.64 Mxt[02] Myt[02] kNm kNm 7840.50 -10690.00 7701.50 -10091.00 -1.77 -5.60 Myt[01] kNm 132960.00 128250.01 -3.54 Mzt[01] kNm -12024.00 -11630.00 -3.28 Mzt[02] kNm -12024.00 -11630.00 -3.28 Tip displ. flap[1] mm Tip disp. flap[2] mm -4645.10 6194.50 -4658.00 0.28 5482.40 -11.50 Tip disp. flap[3] mm -5266.10 -5124.50 Tip displ. lag[1] mm 2729.60 2752.90 0.85 Tip displ. lag[2] mm -3111.70 -2841.00 -8.70 Tip displ. lag[3] mm X-defl[01] mm 2500.40 0.00 2431.10 0.00 -2.77 X-defl[02] mm 1288.40 1259.60 -2.24 Y-defl[01] mm 0.00 0.00 Y-defl[02] mm -722.62 -708.81 -2.69 -1.91 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 59 Load set calculation DOWEC 6MW H. Efdé Tapered blade, absolute extreme values E50025 Variable Unit baseline E50025B % Fxn kN 219.25 -4.47 Fyn kN -754.32 -664.51 -11.91 Fzn Mxn kN kNm -1061.40 -1811.20 -1002.60 -5.54 1429.80 -21.06 Mxn-r kNm -1832.90 1447.00 -21.05 Myn kNm -5803.00 -5131.30 -11.58 Myn-r kNm -7841.90 -5275.00 -32.73 Mzn Mzn-r kNm kNm -6118.30 6751.50 6513.90 6.47 5215.20 -22.75 Mxb[1] kNm 13230.00 Mxb[1]-p[01] kNm 6088.80 Mxb[1]-p[02] kNm 1848.00 1309.30 -29.15 Mxb[2] Mxb[2]-p[01] kNm kNm 13596.00 5961.90 14632.00 7.62 4667.70 -21.71 Mxb[2]-p[02] kNm 1642.20 1350.40 -17.77 Mxb[3] kNm 14612.00 12269.00 -16.03 Mxb[3]-p[01] Mxb[3]-p[02] kNm kNm 4560.10 1405.30 Myb[1] kNm -5097.40 Myb[1]-p[01] kNm -12488.00 -12755.00 2.14 Myb[1]-p[02] kNm -3305.00 -3493.40 5.70 Myb[2] Myb[2]-p[01] kNm kNm -5093.10 -12820.00 Myb[2]-p[02] kNm -4009.50 -3751.00 Myb[3] kNm -5115.30 -4552.00 -11.01 Myb[3]-p[01] kNm -14260.00 -11435.00 -19.81 Myb[3]-p[02] Mzb[1] kNm kNm -4107.50 239.20 -3138.00 -23.60 178.34 -25.44 Mzb[1]-p[01] kNm 239.09 178.23 -25.45 Mzb[1]-p[02] kNm 99.40 Mzb[2] kNm -202.11 -224.25 10.95 Mzb[2]-p[01] Mzb[2]-p[02] kNm kNm -202.11 -92.81 -224.20 -99.59 10.93 7.31 Mzb[3] kNm -166.83 159.99 -4.10 Mzb[3]-p[01] kNm -166.79 159.94 -4.11 Mzb[3]-p[02] kNm -82.80 -81.69 -1.34 Mxt[01] Mxt[02] kNm kNm Myt[02] kNm -6882.50 -6351.60 Myt[01] kNm 73903.00 63379.00 -14.24 Mzt[01] kNm 9314.30 9715.00 4.30 Mzt[02] Tip displ. flap[1] kNm mm 9314.30 -1030.60 9715.00 -933.28 4.30 -9.44 Tip disp. flap[2] mm -1113.80 -981.78 -11.85 Tip disp. flap[3] mm -1340.20 -1066.70 -20.41 Tip displ. lag[1] Tip displ. lag[2] mm mm 8234.50 8537.20 7772.00 8051.80 -5.62 -5.69 Tip displ. lag[3] mm 7464.10 7761.70 3.99 X-defl[01] mm 0.00 0.00 X-defl[02] mm 677.65 584.34 -13.77 Y-defl[01] Y-defl[02] mm mm 0.00 -1655.90 0.00 -1352.90 -18.30 209.45 13375.00 1.10 4706.20 -22.71 4625.00 1306.50 1.42 -7.03 4221.00 -17.19 4049.70 -20.49 -13944.00 8.77 -6.45 -80.12 -19.40 164060.00 131830.00 -19.65 3774.50 2539.50 -32.72 -7.71 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 60 Load set calculation DOWEC 6MW H. Efdé Tapered blade, absolute extreme values E50335 Variable Unit baseline Fxn kN Fyn kN Fzn Mxn kN kNm -969.49 1411.40 -956.65 -1477.30 Mxn-r kNm 1428.30 -1494.90 4.66 Myn kNm 4403.20 4227.00 -4.00 Myn-r kNm 5077.70 -5315.10 4.68 Mzn Mzn-r kNm kNm -5639.70 5612.50 -5504.60 -5799.80 -2.40 3.34 Mxb[1] kNm -12138.00 -11512.00 -5.16 Mxb[1]-p[01] kNm 4783.40 4431.20 -7.36 Mxb[1]-p[02] kNm 1443.70 1414.10 -2.05 Mxb[2] Mxb[2]-p[01] kNm kNm 13234.00 4617.90 12897.00 4373.50 -2.55 -5.29 Mxb[2]-p[02] kNm 1437.80 Mxb[3] kNm 12028.00 11102.00 -7.70 Mxb[3]-p[01] Mxb[3]-p[02] kNm kNm -3822.50 1173.40 4786.60 1390.50 25.22 18.50 Myb[1] kNm -3928.40 -4090.90 4.14 Myb[1]-p[01] kNm -10783.00 -10540.00 -2.25 Myb[1]-p[02] kNm -2745.70 2812.30 2.43 Myb[2] Myb[2]-p[01] kNm kNm 4269.60 12662.00 Myb[2]-p[02] kNm 3483.80 3210.10 -7.86 Myb[3] kNm -4631.40 -4248.50 -8.27 Myb[3]-p[01] kNm 11504.00 10622.00 -7.67 Myb[3]-p[02] Mzb[1] kNm kNm 3195.70 200.06 2804.90 -12.23 174.67 -12.69 Mzb[1]-p[01] kNm 200.00 174.59 -12.71 Mzb[1]-p[02] kNm 85.34 -81.08 -4.99 Mzb[2] kNm -180.79 180.68 -0.06 Mzb[2]-p[01] Mzb[2]-p[02] kNm kNm -180.75 -78.89 180.60 -86.66 -0.08 9.85 Mzb[3] kNm -129.73 187.28 44.36 Mzb[3]-p[01] kNm -129.70 187.21 44.34 Mzb[3]-p[02] kNm -68.69 -105.48 53.56 Mxt[01] Mxt[02] kNm kNm Myt[02] kNm 4799.60 -4574.30 -4.69 Myt[01] kNm 61869.00 57091.00 -7.72 Mzt[01] kNm -8397.10 -8353.00 -0.53 Mzt[02] Tip displ. flap[1] kNm mm -8397.10 -805.24 -8353.00 -951.43 -0.53 18.15 Tip disp. flap[2] mm -977.70 -880.65 -9.93 Tip disp. flap[3] mm -1057.80 -969.88 -8.31 Tip displ. lag[1] Tip displ. lag[2] mm mm 8292.80 8024.70 7941.70 7651.90 -4.23 -4.65 Tip displ. lag[3] mm 7565.20 7827.00 3.46 X-defl[01] mm 0.00 0.00 X-defl[02] mm 539.15 479.43 -11.08 Y-defl[01] Y-defl[02] mm mm 0.00 1542.20 0.00 1310.60 -15.02 208.05 700.90 E50335B % 183.71 -11.70 606.16 -13.52 -1.32 4.67 1197.70 -16.70 3610.50 -15.44 12282.00 -3.00 -150320.00 -130520.01 -13.17 -3213.00 -2997.20 -6.72 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 61 Load set calculation DOWEC 6MW H. Efdé Tapered blade, absolute extreme values EcdVrb Variable Unit baseline Fxn kN 1083.70 EcdVrbB 1080.50 % -0.30 Fyn kN 345.01 341.06 -1.14 Fzn Mxn kN kNm -972.91 6606.60 -983.29 6603.30 1.07 -0.05 Mxn-r kNm 6611.40 6608.00 -0.05 Myn kNm -19807.00 -20074.00 1.35 Myn-r kNm 17780.00 17288.00 -2.77 Mzn Mzn-r kNm kNm -11417.00 -19443.00 -11479.00 -19625.00 0.54 0.94 Mxb[1] kNm 5973.50 5611.20 -6.07 Mxb[1]-p[01] kNm 8724.70 8563.90 -1.84 Mxb[1]-p[02] kNm 2316.70 2123.20 -8.35 Mxb[2] Mxb[2]-p[01] kNm kNm 7662.00 12371.00 8126.90 12032.00 6.07 -2.74 Mxb[2]-p[02] kNm 3228.20 2961.00 -8.28 Mxb[3] kNm -6290.20 -6278.40 -0.19 Mxb[3]-p[01] Mxb[3]-p[02] kNm kNm 8187.70 2209.80 7457.20 1996.40 -8.92 -9.66 Myb[1] kNm -18723.00 -18870.00 0.79 Myb[1]-p[01] kNm -16048 -16333 1.78 Myb[1]-p[02] kNm -5259.4 -5267.7 0.16 Myb[2] Myb[2]-p[01] kNm kNm -21537.00 -16598 -20875.00 -15944 -3.07 -3.94 Myb[2]-p[02] kNm -5599.8 -5435 -2.94 Myb[3] kNm 15600.00 15303.00 -1.90 Myb[3]-p[01] kNm 15759.00 15437.00 -2.04 Myb[3]-p[02] Mzb[1] kNm kNm 4852.80 490.22 4630.10 494.51 -4.59 0.88 Mzb[1]-p[01] kNm 489.89 494.17 0.87 Mzb[1]-p[02] kNm 170.65 164.97 -3.33 Mzb[2] kNm 735.27 671.90 -8.62 Mzb[2]-p[01] Mzb[2]-p[02] kNm kNm 734.82 264.44 671.49 -8.62 229.40 -13.25 Mzb[3] kNm -261.79 -232.40 -11.23 Mzb[3]-p[01] kNm -261.83 -232.44 -11.22 Mzb[3]-p[02] kNm -182.14 -164.13 -9.89 Mxt[01] Mxt[02] kNm kNm -54353.00 6752.50 -51429.00 6783.10 -5.38 0.45 Myt[02] kNm -22697.00 -23145.00 1.97 Myt[01] kNm -184930.02 -177690.02 -3.91 Mzt[01] kNm -12445.00 -12497.00 0.42 Mzt[02] Tip displ. flap[1] kNm mm -12445.00 -11994.00 -12497.00 -12066.00 0.42 0.60 Tip disp. flap[2] mm -13519.00 -13101.00 -3.09 Tip disp. flap[3] mm 8701.10 8202.90 -5.73 Tip displ. lag[1] Tip displ. lag[2] mm mm 7354.10 6087.10 7042.80 5642.80 -4.23 -7.30 Tip displ. lag[3] mm 5859.00 5845.50 -0.23 X-defl[01] mm 0.00 0.00 X-defl[02] mm -2049.80 -1969.50 -3.92 Y-defl[01] Y-defl[02] mm mm 0.00 546.94 0.00 513.06 -6.19 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 62 Load set calculation DOWEC 6MW H. Efdé Tapered blade, absolute extreme values Eog50_12 Variable Unit baseline Fxn kN 1260.50 Eog50_12B Fyn kN 65.24 Fzn kN -849.91 -821.69 -3.32 Mxn Mxn-r kNm kNm 6788.90 6796.80 6741.90 6749.10 -0.69 -0.70 Myn kNm -5587.50 2046.30 -63.38 Myn-r kNm -4434.80 2566.50 -42.13 Mzn kNm -4047.20 2478.40 -38.76 Mzn-r Mxb[1] kNm kNm -6403.70 6471.50 3121.10 -51.26 6493.90 0.35 Mxb[1]-p[01] kNm 8743.80 -4584.50 -47.57 Mxb[1]-p[02] kNm 2395.20 841.50 -64.87 Mxb[2] Mxb[2]-p[01] kNm kNm 5695.30 11520.00 5697.50 0.04 5341.00 -53.64 Mxb[2]-p[02] kNm 3036.60 1192.00 -60.75 Mxb[3] kNm 5347.60 Mxb[3]-p[01] kNm 6807.80 -4483.00 -34.15 Mxb[3]-p[02] Myb[1] kNm kNm 2182.50 18110.00 728.90 -66.60 17622.00 -2.69 Myb[1]-p[01] kNm 18006.00 17521.00 -2.69 Myb[1]-p[02] kNm 5508.70 5250.40 -4.69 Myb[2] kNm 15815.00 15321.00 -3.12 Myb[2]-p[01] Myb[2]-p[02] kNm kNm 15647.00 4775.80 15222.00 4528.30 -2.72 -5.18 Myb[3] kNm 16475.00 16067.00 -2.48 Myb[3]-p[01] kNm 15337.00 15119.00 -1.42 Myb[3]-p[02] kNm 4833.20 4663.30 -3.52 Mzb[1] Mzb[1]-p[01] kNm kNm 339.46 339.25 Mzb[1]-p[02] kNm -131.22 -62.54 -52.34 Mzb[2] kNm 485.38 132.21 -72.76 Mzb[2]-p[01] kNm 485.14 132.05 -72.78 Mzb[2]-p[02] Mzb[3] kNm kNm 191.49 251.46 -61.86 -67.70 170.42 -32.23 Mzb[3]-p[01] kNm 251.25 170.11 -32.29 Mzb[3]-p[02] kNm -98.61 -63.89 -35.21 Mxt[01] Mxt[02] kNm kNm -53142.00 7484.70 35405.00 -33.38 7472.70 -0.16 Myt[02] kNm -8710.20 2424.20 -72.17 Myt[01] kNm -256050.02 154620.00 -39.61 Mzt[01] kNm -4078.80 1702.50 -58.26 Mzt[02] Tip displ. flap[1] kNm mm -4078.80 10095.00 1702.50 -58.26 9527.90 -5.62 Tip disp. flap[2] mm -9710.40 8024.20 -17.36 Tip disp. flap[3] mm -9231.10 8171.10 -11.48 Tip displ. lag[1] mm 4678.60 -2157.40 -53.89 Tip displ. lag[2] Tip displ. lag[3] mm mm 4297.30 5028.80 -1658.50 -61.41 -1965.90 -60.91 X-defl[01] mm 0.00 X-defl[02] mm -2663.00 Y-defl[01] mm 0.00 Y-defl[02] mm 541.48 1223.20 % -2.96 -32.15 -50.72 6071.70 13.54 129.97 -61.71 129.83 -61.73 0.00 1614.50 -39.37 0.00 -418.09 -22.79 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 63 Load set calculation DOWEC 6MW H. Efdé Tapered blade, absolute extreme values GrEog1Voc Variable Unit baseline Fxn kN 1021.80 GrEog1VocB 996.64 % -2.46 Fyn kN -169.41 -166.65 -1.63 Fzn Mxn kN kNm -832.81 7125.50 -837.24 6970.00 0.53 -2.18 Mxn-r kNm 7132.30 6982.60 -2.10 Myn kNm 8918.30 9285.50 4.12 Myn-r kNm -7610.50 -6561.80 -13.78 Mzn Mzn-r kNm kNm -6638.60 -8863.60 -8216.70 -9266.00 23.77 4.54 Mxb[1] kNm -6555.60 -6732.30 2.70 Mxb[1]-p[01] kNm 5917.30 6401.70 8.19 Mxb[1]-p[02] kNm 1860.60 2063.90 10.93 Mxb[2] Mxb[2]-p[01] kNm kNm 5374.40 9879.60 5491.50 9127.30 2.18 -7.61 Mxb[2]-p[02] kNm 2653.60 2378.10 -10.38 Mxb[3] kNm 5821.50 5787.80 -0.58 Mxb[3]-p[01] Mxb[3]-p[02] kNm kNm 11389.00 3196.60 11476.00 3165.40 0.76 -0.98 Myb[1] kNm -12621.00 -13668.00 8.30 Myb[1]-p[01] kNm -12395 -12640 1.98 Myb[1]-p[02] kNm -4493.2 -4581.3 1.96 Myb[2] Myb[2]-p[01] kNm kNm -10652.00 7048.90 -10381.00 7927.10 -2.54 12.46 Myb[2]-p[02] kNm -2139.5 -2153.7 0.66 Myb[3] kNm -15365.00 -14646.00 -4.68 Myb[3]-p[01] kNm 11051.00 10055.00 -9.01 Myb[3]-p[02] Mzb[1] kNm kNm -3818.1 -222.96 -3481.7 252.36 -8.81 13.19 Mzb[1]-p[01] kNm -223.00 252.10 13.05 Mzb[1]-p[02] kNm -165.80 -150.63 -9.15 Mzb[2] kNm 209.39 197.05 -5.89 Mzb[2]-p[01] Mzb[2]-p[02] kNm kNm 209.33 -148.62 196.98 -146.09 -5.90 -1.70 Mzb[3] kNm 442.32 391.77 -11.43 Mzb[3]-p[01] kNm 442.08 391.58 -11.42 Mzb[3]-p[02] kNm 154.28 Mxt[01] Mxt[02] kNm kNm 68493.00 6400.40 Myt[02] kNm Myt[01] kNm Mzt[01] kNm Mzt[02] Tip displ. flap[1] 129.95 -15.77 70826.00 6130.30 3.41 -4.22 9533.90 9525.10 -0.09 -281560.00 -275330.00 -2.21 -6251.20 -8173.80 30.76 kNm mm -6251.20 -9901.80 -8173.80 -10010.00 30.76 1.09 Tip disp. flap[2] mm -5518.60 -5792.80 4.97 Tip disp. flap[3] mm -9006.10 -8318.70 -7.63 Tip displ. lag[1] Tip displ. lag[2] mm mm 7315.10 4735.30 7285.40 4579.60 -0.41 -3.29 Tip displ. lag[3] mm 6469.00 5845.00 -9.65 X-defl[01] mm 0.00 0.00 X-defl[02] mm -2923.00 -2862.90 -2.06 Y-defl[01] Y-defl[02] mm mm 0.00 -701.86 0.00 -726.11 3.46 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 64 Load set calculation DOWEC 6MW H. Efdé Tapered blade, 24 m/s 1Hz equivalent values Variable unit mat.curve baseline 024B Fxn kN M5 262.38 258.74 Fyn kN M5 192.75 185.36 Fzn kN M5 152.25 147.12 Mxn kNm M5 2053.88 2017.22 Mxn-r kNm M5 2064.61 2019.79 Myn kNm M5 6246.82 6102.24 Myn-r kNm M5 7054.66 6885.78 Mzn kNm M5 6043.96 5908.52 Mzn-r kNm M5 6724.79 6626.21 Mxb[1] kNm M10 8217.62 8278.08 Mxb[1]-p[01] kNm M10 6536.84 6514.14 Mxb[1]-p[02] kNm M10 1601.41 1607.82 Mxb[2] kNm M10 8339.45 8217.62 Mxb[2]-p[01] kNm M10 6740.51 6724.40 Mxb[2]-p[02] kNm M10 1698.61 1678.84 Mxb[3] kNm M10 8181.75 7995.67 Mxb[3]-p[01] kNm M10 6432.20 6352.30 Mxb[3]-p[02] kNm M10 1600.50 1578.04 Myb[1] kNm M10 7679.12 7504.94 Myb[1]-p[01] kNm M10 8376.71 8439.55 Myb[1]-p[02] kNm M10 2409.49 2348.13 Myb[2] kNm M10 8052.91 7905.77 Myb[2]-p[01] kNm M10 8439.55 8290.28 Myb[2]-p[02] kNm M10 2455.77 2331.58 Myb[3] kNm M10 8146.21 7883.61 Myb[3]-p[01] kNm M10 8949.81 8714.11 Myb[3]-p[02] kNm M10 2640.20 2485.07 Mzb[1] kNm M10 123.53 116.51 Mzb[1]-p[01] kNm M10 123.48 116.55 Mzb[1]-p[02] kNm M10 76.04 69.78 Mzb[2] kNm M10 137.27 124.07 Mzb[2]-p[01] kNm M10 137.22 123.91 Mzb[2]-p[02] kNm M10 79.77 73.68 Mzb[3] kNm M10 135.58 124.07 Mzb[3]-p[01] kNm M10 135.53 124.04 Mzb[3]-p[02] kNm M10 78.00 71.30 Mxt[01] kNm M5 34205.57 34205.57 Mxt[02] kNm M5 2160.47 2134.24 Myt[02] kNm M5 6372.64 6309.10 Myt[01] kNm M5 39798.94 39798.94 Mzt[01] kNm M5 6946.24 6826.35 Mzt[02] kNm M5 6946.24 6826.35 % -1.39 -3.83 -3.37 -1.78 -2.17 -2.31 -2.39 -2.24 -1.47 0.74 -0.35 0.40 -1.46 -0.24 -1.16 -2.27 -1.24 -1.40 -2.27 0.75 -2.55 -1.83 -1.77 -5.06 -3.22 -2.63 -5.88 -5.68 -5.61 -8.23 -9.62 -9.70 -7.63 -8.49 -8.48 -8.59 0.00 -1.21 -1.00 0.00 -1.73 -1.73 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 65 Load set calculation DOWEC 6MW H. Efdé Tapered blade, 18 m/s 1Hz equivalent values Variable unit mat.curve baseline 018B Fxn kN M5 225.70 220.09 Fyn kN M5 134.10 129.80 Fzn kN M5 98.38 97.82 Mxn kNm M5 1430.71 1444.42 Mxn-r kNm M5 1438.51 1452.38 Myn kNm M5 4863.97 4733.00 Myn-r kNm M5 5182.66 5050.30 Mzn kNm M5 4826.87 4670.13 Mzn-r kNm M5 5216.84 5165.74 Mxb[1] kNm M10 7262.69 7262.69 Mxb[1]-p[01] kNm M10 5880.77 5862.38 Mxb[1]-p[02] kNm M10 1338.47 1305.24 Mxb[2] kNm M10 7357.69 7272.08 Mxb[2]-p[01] kNm M10 5936.63 5930.37 Mxb[2]-p[02] kNm M10 1357.53 1331.19 Mxb[3] kNm M10 7319.40 7253.33 Mxb[3]-p[01] kNm M10 5874.63 5813.91 Mxb[3]-p[02] kNm M10 1307.06 1302.52 Myb[1] kNm M10 7035.60 6668.59 Myb[1]-p[01] kNm M10 7700.14 7300.40 Myb[1]-p[02] kNm M10 2187.42 2098.47 Myb[2] kNm M10 6239.55 6295.42 Myb[2]-p[01] kNm M10 7079.87 7234.67 Myb[2]-p[02] kNm M10 1909.67 1855.50 Myb[3] kNm M10 6652.82 6529.26 Myb[3]-p[01] kNm M10 7455.21 7151.89 Myb[3]-p[02] kNm M10 2014.30 1915.53 Mzb[1] kNm M10 112.49 106.89 Mzb[1]-p[01] kNm M10 112.50 106.85 Mzb[1]-p[02] kNm M10 63.80 59.61 Mzb[2] kNm M10 111.63 99.39 Mzb[2]-p[01] kNm M10 111.54 99.35 Mzb[2]-p[02] kNm M10 61.75 57.52 Mzb[3] kNm M10 119.40 107.68 Mzb[3]-p[01] kNm M10 118.64 107.65 Mzb[3]-p[02] kNm M10 63.97 59.41 Mxt[01] kNm M5 20612.49 20217.36 Mxt[02] kNm M5 1567.50 1529.61 Myt[02] kNm M5 4901.65 4761.50 Myt[01] kNm M5 30868.45 31172.57 Mzt[01] kNm M5 5497.85 5304.30 Mzt[02] kNm M5 5497.85 5304.30 % -2.49 -3.21 -0.57 0.96 0.96 -2.69 -2.55 -3.25 -0.98 0.00 -0.31 -2.48 -1.16 -0.11 -1.94 -0.90 -1.03 -0.35 -5.22 -5.19 -4.07 0.90 2.19 -2.84 -1.86 -4.07 -4.90 -4.98 -5.02 -6.57 -10.96 -10.93 -6.85 -9.82 -9.26 -7.13 -1.92 -2.42 -2.86 0.99 -3.52 -3.52 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 66 Load set calculation DOWEC 6MW H. Efdé Tapered blade, 12 m/s 1Hz equivalent values Variable unit mat.curve baseline 012B Fxn kN M5 226.47 221.84 Fyn kN M5 101.86 99.44 Fzn kN M5 71.95 71.76 Mxn kNm M5 993.87 991.38 Mxn-r kNm M5 997.32 993.25 Myn kNm M5 4095.81 3908.60 Myn-r kNm M5 4510.35 4361.15 Mzn kNm M5 4048.64 3870.35 Mzn-r kNm M5 4497.53 4379.26 Mxb[1] kNm M10 6923.02 6914.51 Mxb[1]-p[01] kNm M10 5886.92 5924.13 Mxb[1]-p[02] kNm M10 1252.63 1292.05 Mxb[2] kNm M10 6863.89 6872.28 Mxb[2]-p[01] kNm M10 5807.90 5911.67 Mxb[2]-p[02] kNm M10 1247.35 1272.47 Mxb[3] kNm M10 6889.11 6897.56 Mxb[3]-p[01] kNm M10 5825.95 5856.28 Mxb[3]-p[02] kNm M10 1247.63 1282.04 Myb[1] kNm M10 6567.38 6469.19 Myb[1]-p[01] kNm M10 7035.60 6872.28 Myb[1]-p[02] kNm M10 2097.69 2010.70 Myb[2] kNm M10 6267.36 6084.32 Myb[2]-p[01] kNm M10 6732.44 6559.72 Myb[2]-p[02] kNm M10 2004.97 1937.30 Myb[3] kNm M10 6295.42 6330.85 Myb[3]-p[01] kNm M10 6814.00 6629.30 Myb[3]-p[02] kNm M10 2007.83 1913.57 Mzb[1] kNm M10 128.47 124.36 Mzb[1]-p[01] kNm M10 128.35 123.61 Mzb[1]-p[02] kNm M10 64.47 60.36 Mzb[2] kNm M10 125.66 120.97 Mzb[2]-p[01] kNm M10 126.90 120.92 Mzb[2]-p[02] kNm M10 64.84 61.31 Mzb[3] kNm M10 132.38 125.56 Mzb[3]-p[01] kNm M10 132.31 125.49 Mzb[3]-p[02] kNm M10 65.72 61.88 Mxt[01] kNm M5 8494.00 9750.43 Mxt[02] kNm M5 1141.62 1102.25 Myt[02] kNm M5 4111.78 3865.62 Myt[01] kNm M5 29709.08 27633.33 Mzt[01] kNm M5 4453.22 4238.46 Mzt[02] kNm M5 4453.22 4238.46 % -2.04 -2.38 -0.26 -0.25 -0.41 -4.57 -3.31 -4.40 -2.63 -0.12 0.63 3.15 0.12 1.79 2.01 0.12 0.52 2.76 -1.50 -2.32 -4.15 -2.92 -2.57 -3.38 0.56 -2.71 -4.69 -3.20 -3.69 -6.38 -3.73 -4.71 -5.44 -5.15 -5.15 -5.84 14.79 -3.45 -5.99 -6.99 -4.82 -4.82 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 67 Load set calculation DOWEC 6MW Appendix H. H. Efdé Low Lambda control. Low Lambda control, 1Hz equivalent values baseline Variable Fxn Fyn Fzn Mxn Mxn-r Myn Myn-r Mzn Mzn-r Mxb[1] Mxb[1]-p[01] Mxb[1]-p[02] Mxb[2] Mxb[2]-p[01] Mxb[2]-p[02] Mxb[3] Mxb[3]-p[01] Mxb[3]-p[02] Myb[1] Myb[1]-p[01] Myb[1]-p[02] Myb[2] Myb[2]-p[01] Myb[2]-p[02] Myb[3] Myb[3]-p[01] Myb[3]-p[02] Mzb[1] Mzb[1]-p[01] Mzb[1]-p[02] Mzb[2] Mzb[2]-p[01] Mzb[2]-p[02] Mzb[3] Mzb[3]-p[01] Mzb[3]-p[02] Mxt[01] Mxt[02] Myt[02] Myt[01] Mzt[01] Mzt[02] Low Lambda 132.56 65.54 50.48 734.02 736.76 2538.32 2823.751 2548.541 2808.711 5400.82 4498.159 991.44 5369.889 4483.82 1000.61 5390.469 4448.359 983.12 5139.288 5539.1 1617.99 4936.339 5375.02 1577.16 5111.269 5539.1 1578.04 94.11 94.07 48.57 92.07 92.02 48.72 96.99 96.96 49.33 11443.088 789.13 2558.841 17529.178 2823.751 2823.751 129.53 58.32 46.79 814.1 815.99 2429.18 2707.751 2429.18 2703.13 5309.068 4427.349 953.46 5324.139 4406.549 955.24 5349.459 4379.1 944.49 5006.63 5375.02 1579.82 4876.42 5284.129 1567.05 4863.779 5274.22 1537.08 93.37 93.33 46.84 91.03 91 46.93 96.16 96.1 47.84 10028.566 855.71 2447.981 16965.238 2677.961 2677.961 % Low Lambda 2 -2.29 -11.02 -7.31 10.91 10.75 -4.30 -4.11 -4.68 -3.76 -1.70 -1.57 -3.83 -0.85 -1.72 -4.53 -0.76 -1.56 -3.93 -2.58 -2.96 -2.36 -1.21 -1.69 -0.64 -4.84 -4.78 -2.60 -0.79 -0.79 -3.56 -1.13 -1.11 -3.67 -0.86 -0.89 -3.02 -12.36 8.44 -4.33 -3.22 -5.16 -5.16 131.83 61.71 47.95 779.21 781.52 2488.41 2762.12 2494.29 2764.541 5344.378 4466.02 966.4 5349.459 4462.479 970.9 5380.159 4420.4 959.8 5120.579 5572.02 1608.27 4919.068 5329.188 1569.68 4919.068 5385.31 1534.56 93.85 93.81 47.5 91.34 91.3 47.43 96.84 96.78 48.34 10356.836 829.03 2512.12 17242.598 2769.37 2769.37 % Low Lambda 3 -0.55 -5.84 -5.01 6.16 6.08 -1.97 -2.18 -2.13 -1.57 -1.05 -0.71 -2.53 -0.38 -0.48 -2.97 -0.19 -0.63 -2.37 -0.36 0.59 -0.60 -0.35 -0.85 -0.47 -3.76 -2.78 -2.76 -0.28 -0.28 -2.20 -0.79 -0.78 -2.65 -0.15 -0.19 -2.01 -9.49 5.06 -1.83 -1.63 -1.93 -1.93 139.49 65.86 51.60 760.67 763.24 2569.23 2831.33 2565.07 2859.48 5442.63 4563.86 996.53 5421.64 4549.10 999.37 5406.01 4527.13 998.83 5065.25 5511.96 1560.10 5162.88 5594.19 1609.19 5065.25 5506.56 1574.51 101.33 101.28 49.57 100.53 100.48 50.85 103.06 103.02 49.76 11082.36 816.83 2577.60 17825.45 2877.68 2877.68 % Low Lambda 4 5.23 0.49 2.22 3.63 3.59 1.22 0.27 0.65 1.81 0.77 1.46 0.51 0.96 1.46 -0.12 0.29 1.77 1.60 -1.44 -0.49 -3.58 4.59 4.08 2.03 -0.90 -0.59 -0.22 7.67 7.66 2.06 9.19 9.19 4.37 6.26 6.25 0.87 -3.15 3.51 0.73 1.69 1.91 1.91 139.67 66.90 52.42 767.49 770.48 2637.77 2888.19 2592.39 2867.25 5458.47 4578.72 999.90 5437.37 4563.86 1009.59 5400.82 4545.42 1006.16 4971.24 5517.37 1564.00 5201.07 5610.93 1610.58 5139.29 5599.76 1574.95 101.33 101.28 49.50 100.73 100.68 50.69 103.18 103.14 50.28 10780.29 814.94 2659.95 17926.44 2896.12 2896.12 % Low Lambda 5 5.36 2.08 3.84 4.56 4.58 3.92 2.28 1.72 2.08 1.07 1.79 0.85 1.26 1.79 0.90 0.19 2.18 2.34 -3.27 -0.39 -3.34 5.36 4.39 2.12 0.55 1.10 -0.20 7.67 7.66 1.91 9.41 9.41 4.04 6.38 6.37 1.93 -5.79 3.27 3.95 2.27 2.56 2.56 NOTE: gamma = 1 R45.04/01.03/03 Stentec, 3-1-03 page 68 138.96 63.88 50.13 785.40 787.95 2548.54 2803.73 2536.28 2838.95 5421.64 4538.09 984.15 5395.64 4523.49 979.87 5390.47 4523.49 987.96 5060.69 5501.18 1555.79 5129.92 5572.02 1610.58 4993.30 5421.64 1539.60 101.27 101.22 49.72 100.35 100.30 50.01 103.16 103.11 49.12 10425.09 837.15 2567.15 17725.59 2833.87 2833.87 % 4.83 -2.53 -0.69 7.00 6.95 0.40 -0.71 -0.48 1.08 0.39 0.89 -0.74 0.48 0.88 -2.07 0.00 1.69 0.49 -1.53 -0.68 -3.84 3.92 3.67 2.12 -2.31 -2.12 -2.44 7.61 7.60 2.37 8.99 9.00 2.65 6.36 6.34 -0.43 -8.90 6.09 0.32 1.12 0.36 0.36 Load set calculation DOWEC 6MW Appendix I. H. Efdé Plots tower eigenfrequencies. Tower eigenfrequency 0.175Hz, production loadcase 12 m/s stochastic. Tower eigenfrequency 0.200Hz, production loadcase 12 m/s stochastic. R45.04/01.03/03 Stentec, 3-1-03 page 69 Load set calculation DOWEC 6MW H. Efdé Tower eigenfrequency 0.225Hz, production loadcase 12 m/s stochastic. Tower eigenfrequency 0.250Hz, production loadcase 12 m/s stochastic. R45.04/01.03/03 Stentec, 3-1-03 page 70 Load set calculation DOWEC 6MW H. Efdé Tower eigenfrequency 0.300Hz, production loadcase 12 m/s stochastic. Tower eigenfrequency 0.350Hz, production loadcase 12 m/s stochastic. R45.04/01.03/03 Stentec, 3-1-03 page 71 Load set calculation DOWEC 6MW Appendix J. H. Efdé Base line control versus Peak Shave control. Base line pitch control. Peak Shave pitch control. R45.04/01.03/03 Stentec, 3-1-03 page 72