HARDWARE IMPLEMENTATION OF A SENSORLESS CONTROL
Transcription
HARDWARE IMPLEMENTATION OF A SENSORLESS CONTROL
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'-* %/!/"?0?9+TF ^ %/3+ #/.0y"S*? 1\%/3+=2*?9:+ !" k.0#`'T"+T'T%/+-F %/ !" #$ 689 ! 3+-p%V3.0# #/.9y*S*?Q.0# t FS2%V ^ :# : 2%V3+T!$ .9#$+ 3.0y"3.94NR +-FS*<'-+;":8%VR:<%a.9#_@"!$'-+TF PW 3<+;=*2?9:+T#_%V3S7%')* ^ +!/+TF " %V3+ !" 5 #/.0y"S*? 2!/+ %V3? + ;=<?> =2*?9:+T# #V*4NR?0+-Fg2% %V3+`+-<Fk*@w+)*'d3k#/: ^ .0U%V+-!|=2*? *@ %V3<+R!/+=8.0":# N @qR +-!/.08F "!_%/3+;#|%d2%/:#-1 F+TRb+TF.0y "%V3+;*FF!$+-#/# ^ :<#_=2*?9:+ W 3+ ;=<?> =2*?0:+-#;*!/+N%V!V2#$@"!$45+TF{.9p%V3+5@"?9?0n .0y c 'N%/3O + @BA6Cf.9#`.9U="+T!$%V+TF %V~*'d3<.9+T=*+ I% 8 D # &'T"45R<?9+-4N+-U%<*%d2%/.9"*F%V3<+ ^ .0%/#a*!$+#/3.M@ %V+TF~"+;R "#/.M%V.0"k%V %/3+;?0+T@ %_@*! *RR<!/"R!$.X2%/+#/')2?9.9<y #/+T+ n \W 3+c2FF!/+T#/#$+-#Q*@8%V3+H!/+Ty".9#|%V+T!/#w*!/+H#/:4N45*!/. L-+-F .0 W ^ ?0+ h ( <? %/3+H@*:!l?9+-#$#w#$.9y"<.0S'-*U% ^ .0%V#l*@8%V3+ *FF<!/+-#$# ^ :<# *!$+ :<#/+-FP.9 %V3+HF+T'-F.0S'-2%V.0" W 3+_.0U%V+-!$!/:R8%,!$+ :+-#|%}#/.0y"S*? 69 N.0#%/3+.9U="+T!/#/+_*@ %/3+ 5 768$#/.0y"S*? N%V3.0# , 1Q2%`%V3<+5+TF *@} N @ R +-!$.9F 69 .0?9?Qy" %V L-+T!/Y@*!`*+5'T?9'de~' '-?0+ : %/3.9# .0# +-<":y"3 ^ +T')*:<#/+ %V3+ .9U%/+-!/!$:R<%/.9"r%V32%},+P*!$+:#/.0y.9r%V3+ <?A N .9#}+-F<y"+ #/+-<#/.0%/.0=*+ + *FF!$+-#$# !/.M%V+ t 33 3 3 3 h 33 !9 3 !3 3< ;_3 C,3 >,3 <a3 3 . 3 W ^ ?9+ h ' +-y".0#$/% +-! h ! !$+)*F 0 0 0 0 0 0 !9 0 0 0 0 0 0 *FF<!/+-#$#/+T# h h +k#$3 #$.94;:?92%V.0"{ 3+T!/+Y%/3+B<?A N ^ /! +)2F#5%/3+ ;<?> =2*?9:<+-#@!/"4 .9U%/+-!/*? !$+-y".0#$%V+T!/#*@%/3+ .N x ; ( +G,*.M%#$%V2%V+3S2F%V + *FF+TFp#$r%V3S2%_%V3+;F2%d .0# !/+-*F *g%/3+ !/.9#$.9y+TFy"+ *\@ %V3+ !$+)*Fg#/.0y"S*? . .0y " W 3 + N @ #/.9y*S*?9#,*!/+y*+-+T!V2%/+-Fr@!/"4 %V3<+a="+-'%V"! !$+-y".0#$%V+T!/# *<F %V3+#|%V+-R :4 ^ +-! W 3+ +T=*+- #$%V+TR#g'-"!$!/+-#$Rb*F %/]F+)*F ^ *F .9U%V+T!$=2*?9#T1OF<:!/.0y 3.9'd3 ?9"y".0')*?;< *@`%V3<+ R!$+T=.9":<#*F;%V3<+}+6% ="+T'T%/"!/#.9# ":<%VR<:<%Q%Va%/3+}.9U=*+-!$%/+-! : %/3.9# "Rb+T!V2%/.9"Gy":S*!/*U%V+-+T#Q%V3S7% %V3<"#/+ #| .0%/'d3+-#;%/3S2%;'d3*y"+ @!$"4 "+ #$: ^ .9U%/+-!$=2*?H%Vk%/3+ + 6%)1 F:!$.9yY%V3+ F<+)*F ^ *F .9?0? ^ +;@"!$'-+-F~%/ * ( .. #$%V2%V+ GW 3+ N @ #/.9y*S*? .0#_%V3<+-!/+@"!/+#$+-?0+-'T%/+-Fp*'T'-"!$F.9y %/ W ^ ?9+ h W *'d3.0+T="+g%V3+YF+-#$.9!$+-FzF<:!V2%/.9"]@"!N+)*'d3z#$%V+TR 1,%/3+k":8%VR:<% 5 6 0{.9#:#$+-Fz%/ 8.3us Name: 8.4us + h< 8.5us 8.6us 8.7us 8.8us 8.9us 9.0us 9.1us 1 2 3 4 5 8 9 [I] clk [O]clkout [I] rst [I] wr_n [I] rd_n [I] ioms_n 0 [I] dspa A ZZZZ [I] dspd ZZZZ [O]dspd 0450 E450 2450 D450 1450 F450 0430 E430 0000 [I] adca 0000 [I] adcb 25 [O]pwm_sig 24 5555 [O]position [O]irq_n Read ADC values stored from previous period (one wait state assumed) h h ' A8.94G:?X2%/.9"5*@\%V3+ !/+Ty".9#|%V+T!/# ^ ?9'de'<?A N !$+)*F.0y ;=<?> =*2?9:+T# '-*454;:<.9'-2%V+I%/3+ ^ ?9'de 3.9'd3].9#;%/3+r'-*:U%V+-!=2*?9:<+I%V ^ +r?9U*F<+-F @"!;%V3<+ + 68%c#$%V+TR W 3+T!/+T@*!/+*1<.9I#|%V+TR t +a":<%/R:<%,%/3+_!$+-y".0#$%/+-!,'T"!/!$+-#$Rb"<F.9y`%V;#$: ^ .0 %/+-!|=*2? 1 .9 #|%V+-R %V3+ !/+Ty".9#|%V+T!}'-"!$!/+-#$Rb*F.9<y%/5F<+)*F ^ *F 1 *<FY#$5" . .9y h +#/3<n I#$.94;:<?X2%/.9"r 3+T!/+;%V3<+ <?A N !/.M%V+T#I'-*4545*Fg%VI#|%d*!|%a%V3<+ ^ N @ y"+-+T!V2%/.9" ;O@ %V+T!}"+aR +-!$.9FrF+-?9 1SG=*+-'T%/"! '-"!$!/+T#/R "F.0y;%V;%/3+F+)2F *F .0# ":<%/R:<%c@*!,"+_Rb+T!/.9F 18*F <+6%}%V3+OS!/#|%c="+T'T%V*!}.9#,*:<%VR:8%c@"! %/3+a'T"!/!$+-#/R "F<.9yG%/.94N+ . .9y":!$+ " W 3+}#$.9y"S2?*':<.9#/.M%V.0" ^ +-?9*y"# %/a%V3+}# <'d3!/"<":#HR!/'-+T#/# Q 3<+-%V3+ 5 !9#$#/.0y"S*? .9# !$+-'-+T.0=*+-F 1l%V3+N#$%/+-Rp=*2?9:+3S2# ^ +-+T{*?0!/+)2F .0'-!$+)*#$+-F 5W 3+-!$+T@"!$+N 3+T #|%V+-R .9# 1l.0% '-*!/!/+T#/R "F#Q%/_%V3<+c+-F*@S%/3+,S!$#$% #$: ^ .0 %/+-!|=*2? : 3+TN#|%V+TR.9# 17%Va%/3+c+-<F*@ %V3+c#$+-'T"F #/: ^ .9U%V+T!$=2*?u1 *FN#/`" 3+TI#|%V+-R5.9# t 1 .M%45+-*# %V3S7% %V3+?X*#|%#/: ^ .9U%V+T!$=2*?S3S*# S<.9#/3<+-F *F5%V3+Tr*?9?S%/+-4NRb"!/*! !$+-y".0#$%/+-!/#,*!/+'-*R.9+TFI%V`%V3+OF+TS<.0%V.M="+ ^ *e 18 3<+-!/+O%V3+ .0?9? ^ + *'T'-+-#$#/. ^ ?9+%V%/3+ <?A N F:!$.9y%/3+ +6% N @ R +-!/.08F #$%/+-R t + #$: ^ .9U%/+-!$=2*? N @ =*+-'T%/"! < C < C < C ! h < t < C < C < hC t " W ^ ?9+ h ' N @ #/.0y"S*? *y +-+T!V2%/.9"g*'T'-"!$F.9y%/%/3+ #$%/+-Rk :4 ^ +T! C,+-'-*:#$+*@_%/3+k?92%V+T' .0o%/3+Q;=<?>,#-1 %V3+g=*2?9:+r%V32%I.0#?X2%/'d3+-F .9]%V3+Y!/+-y*.9#$%/+-!$# '-*!/!/+T#/R "F# %V%/3+`*S*?0"y;=2*?9:+2@w%/3+ '-:!$!/+-U%@":!}'T?9'de Rb+T!/.08F# ^ +T@*!/+ . + 1 E &7 W 3+ S ?9+T#Q,+T!/+'-"4NR.0?9+-F@"!2&;O?0%/+-!V N. t< 'd3<.9R RS*'de7*y*+ W > " 2F5#$Rb+T+-F5y"!V*F<+ & " 1 :<#/.9<yk%V3+5#/*@ %,*!$+O@k76 N ?9:# 7 W 3<+I%V*%V*?*@ ?9*y".9''-+T?9?0#G*<F ( R.9<#G:#$+-F]*!$+ *!$":F h *@w%/3+ 'd3.9Rg')2RS*'-.M% W 3+~F+T#/.9y*zc2#r+6%V+T#/.M="+-? #$.94;:?92%V+TF %/ ="+T!/.0@ .0%/#I'T"!/!$+-'T%/+-#$# A8"4N+k2@%V3"#$+ #/.04;:?92%V.0"# +-!$+P#$3 k.0 %/3+ R!/+=.9":# #$+-'T%/.9"<# ( + *@ %V3+ ^ .0y *F<=2*U%d2y"+-#*@ R!$"y"!V24545 ^ ?0+ ?0"y".9' .9#Q.M%V# 9S+ 68. ^ .0?9.0% .0;%V3+}R.0N*#/#$.9y"8& 4N+-U%)1 3<.9'd3 4I2e*+;.M%aR "#/#$. ^ ?0+G%V #$.94NR?9.M@ %V3+ N > CmF+T#/.9y* . *!O%V3<.9#a!$+)*#$" 1 %/3+R.9<# +-!/+G*#/#$.9y"<+-F~*'T'-"!$F.9<yN%/5%V3<+GR.0YF.0#$%/!/. ^ :<%V.0"Y2@ %V3<+G*%/3+-!'d3.9R<#a*Fg%V3+T.9!Rb*#/.0%/.9" .9r%/3+ N > C .0%/3 !/+-#$Rb+T'T%%V%V3<+ .N x ; + 4 < + 'T8F+ 2F F+-#$+-!|="+ * W 3+-!$+p*!/+k@*:!I%V3<.9y"#5%V3S2% ')* ^ +~*%V.0'-+TF .9z%/3 Name: 1.75us 1.8us + 1.85us 1.9us 1.95us 2.0us 2.05us 2.1us 2.15us [I] clk [O]clkout [I] rst [I] wr_n [I] rd_n [I] ioms_n [I] dspa 0 6 [I] dspd ZZZZ 0001 [O]dspd ZZZZ 0001 0 ZZZZ ZZZZ 0000 [I] adca 0000 [I] adcb 00 [O]pwm_sig 09 29 0000 [O]position [O]irq_n Hardware Run resetcommand Read ADC values stored from previous period (one wait state as h ' A8.04;:?X7%V.9*I*@\%V3+ !$+-y".0#$%V+T!/# ^ ?08'de' $# %V*!$%*@\%V3<+ N @ y"+-+T!V2%/.9" +68R?9*S2%/.9"' @":<! ":8%VR:<%/# %/+-#|%cR ".9U%V# *!/+O:#/+TF @"!,F<+ ^ :y*y".9yPR:!$Rb"#$+-#T1#/G%/3S2%H,+_'-":?0F 3S)=*+G*'T'-+T#/# %V#/.0y"S*?0# ^ :!/.0+-F .9<#/.9F<+a%V3+ .N x ; . .9y":<!/+ %/3+ ^ .0%/#N.0 %V3+ .9<R:<%V#@!$"4 %/3+O;=<?>,#N3S*F]%V ^ + !$+T="+T!/#$+-F ^ +-'-*:#/+ %V3<+-!/+ ,*# * +-!/!$"!`.9 %/3+IF+T#/.0y"{*@c%/3+ N > C,' ^ .0% .0 %V3<+M;=<?>,#G.9# %V3+545"#|%;#$.9y".MS')2 % ^ .M% @BA+C 2F~.0%c2# *#/#$:45+TF~%V ^ +G%V3<+;?9+-*#$%_#/.9y*.0S'-*U% +A6C %V3+T!/+T@*!/+;%V3<+ : .0R:<%/# 0 I*<F 0 r +-!/+ .0 =*+-!|%V+-Fg.9U%/#/.9y*S*?9# 0 r*F 0 #I!/+-#$Rb+T'T%/.0="+T? @":<! *FF.M%V.9*S*? .0R:<%/# 6 (6 (6 6 +-!$+I*F<F+-Fp%Vr%V3+F+T#/.0y" ^ +-'-*:#/+H*@<*P*'-'T.9F+T %V*?U#/3<"!$%/'-:<%\*@8'-"!$!/+T#/R "F.0yOR<.9#lF:!$.9y 45* :S*?"#$"?9F<+-!/.0y : ^ ^ %/3+-#$+PR.0#}3S)="+ %V + F+-'T?X*!$+-FY*# .9R:8%V#c%VN)="*.9Fg+-?9+T'T%/!/.9'-*? R!$ ?0+-4N# *?0#/ ^ +-'-*:#/+ *@b*2'-'-.0F+-U%F:<!/.9<ya%V3+}#$"?9F+T!/.0y1"R.0 t *@ %/3+}'d3.9R,*# ^ !/*e*+- 1 #$5 +G3S*Fg%VI*#/#$.9y"Y#/.9y*S*? 0!# %V 2*%V3<+-! ( R.9 *<Fk'-*+-'%a.M%%/ %/3+ R!/"R +-! N > C %V!V2'-+ .0%/3Y'- ^ ?9+ + + R<!/+-#$+-U%V+TF %/3+ F+-#$.9y"o*@ %V3+ N @ y*+-+T!V2%/.9"]*<F FS7%d *' :.0#/.M%V.9* 1Q 3.9'd3],*# g !/.M%/%/+-].9 4 < + 1 *].9<F:#$%/! #|%d*<FS*!/Fo3S*!$F<,*!/+ F+T#/'-!$.9R<%/.9" ?9*y":*y"+ ;_?0%/3":y*3 .9Y%V3.0#_R!$*%V*% R +;%V3+GF+-#$.9y",*#.94NR?0+-4N+-U%V+TFk.9* ;_?M%V+-!/ . + t"t*t @*4N.9? 'd3.9R 1 %V3<.9#_F<+-#/.0y"~')2 ^ +;+-*#/.0? .94NR?0+-4N+-U%V+TFk.9k*%V3+T!aR?92%/@"!$45#T1b?0.9e2+G*%/3+-! .N x ; 'd3<.9R#a*! ; A >,# W 3+`.9U%V+T!$@*'T+a .0%V3r%/3+ <?A N ,*# F+-#$.9y"+TFg%/ ^ + *# #/.045R<?9+*# R "#/#$. ^ ?0+ W 3+ N @ y"+T+-!/2%V.0" .9# !/ ^ :#$%O.9r%V3<+P#$+-#$+P%V32% .0%')2 D % ^ + '-"!$!/:R<%/+-FY.9 %V3+ 4N.9FF?0+*@ N @ R +-!/.08F 4 +T="+T!-1 .M%.9# %V3+P!/+-#$Rb*#/. ^ .9?0.0% 2@Q%V3+ <?A N R!$"y"!V2454N+-!c%/I?9"*Fg%/3+`'-"!$!/+-'% ="+T'T%/"!/#O*Fg'-":< %/+-!}=2*?9:<+-# .0%/3I ^ .9y*y"+-! .N x ;G1U#$"45+ .045R!$="+-4N+-U%/# '-* ^ +4I*F<+ ( N"+ 3S*F 1 ^ 2#/.9' 'T"4& R:<%V2%V.0"#\')* ^ + Rb+T!$@"!$45+TF 1*?0.9e*+%V3<+,#/: ^ %V!/*'T%/.9"P*@S#/: ^ #/+ :<+-U%H'-:!$!/+-U% 4N+)2#/:!$+-4N+-U%V#T1 %Vr@!$+-+N#/"4N+R!/*y"!V*4 ' '-?0+-# @!/"4 %V3& + <?A N ( ~%/3+52%V3+T!3S*F 1l%V3<+NR +-!|@"!/45*'T+*@ %V3<+ N @ y"+-+T!V2%/.9"I')* ^ +a45*F+_4N"!$+_!/ ^ :#$%c.0@ %/3+ <?A N !/.M%V+-#H%V3+_F+-#$.9!/+TFr=""?M%d*y"+ ":<%/R:<%O*Fr%/3+ .N x ; .0%/#/+T?0@\'-"4NR:<%/+-#}%V3<+`'T":U%V+T!=2*?0:+-#}<+-+-F<+-FY%/y"+-+T!V2%/+`%/3+-4 W 3 +YR!/*%/*% Rb+ ^ "*!/F]c2#I.9U%/!/F:'-+TF .9 ?9 ^ "!V2%/"! %V+T#$% ^ +-F '-"<#/.9#|%V.0y *@a N @ 4N*%V"!T1*g.9U=*+-!$%/+-!} .0%/3 .0%V#}R ,+T!O#$:RR? 1 *<Fk3"#|% N > W 3+}4N*%V"!\:#$+-F.9# "?9?045"!$y"+- x "?9F?0.9+ W 1*4N8F+T?8@ W "t C_17 .0%/3_!V7%V+-FR ,+T! *@ 4 N ! e 1845768.94;:<4f#/R +-+TF 1 t"t !/R<4Y1 !V7%V+-F5%V"! :<+ 4Y1*F Rb*?9+ RS*.0!/# %a.0#_4N+-'d3S2.9'-*?9? '-":R<?9+-FY%Vr5%/"! :+T45+%V+T!*F~53 #|%V+-!$+T%/.9'?9"*Fk'T+-?9? %a*?9#$ 3S*#_ F.0y".0%V*?b+T'-F+T!%/N4N+)2#/:!$+ %/3+ #/3S7@ %OR "#$.0%V.0" @"!}Rb+T!$@"!$4I2'-+ +T=2*?0:S2%/.9" R<:!/R "#/+T# W 3+G.0U="+-!|%V+T!-1 3.9'd3Y.9#F+-#$'-!/. ^ +TFk.0 ;ORRb+TF. 6 1 .9# ^ :<.9?0%O*!$":FY N ,+T!/+6 @g.0%$& #/: ^ .9#$3. N @ nh > t t .9U%/+-?9?0.9y"+TU% Rb +-!k4NF:?9+21a'-*#/.0#$%V.0yo*@#/. 6 x C W #*F yU2%/+ F!$.0="+T!/# %Y*?9#$ 'T"U%d*.0#r%V3!$+-+p'-?0"#/+TF8&?08"R 4 *?9?+ ) +T'T%Y'-:!$!/+T %Y#/+T#/*!/#Y%/ 4N+)2#/:!$+ %V3<+R3S*#$+N'T:!/!$+-U%V# W 3+.9R<:<%#/.0y"S*?0#*!$+.9#/*?X2%/+-Fk@!$"4 %/3+Rb +-! 4N8F:<?9+P .M%V3 "R8& %V'-*:R?9+T!/# W 3M + <?>mR n +-!`.9#R<!/=.9F+TF ^U R!/*y"!V*4N45 ^ ?9+PRb +-! #/:<RR? 4 N h h ; @!/*4 4 + ?9+%/% N *'de7*!$F 1S .0%/3Y45768.94;:<4 *@ t"t " ; 8 W 3+ N +-!/#$"S*?>,"4NR:<%V+T! N > !/:<# .0F # W ( Rb+T!V2%/.9yPA #$%V+T4 W 3+P#/*@ %|& ,*!/+=@k76 N ?0:# @!/*4 ;_?0%/+-!/`.0#H:<#/+-F5%V`'-"4NR.9?0+ *F5F ?9U2F5%V3<+ .N x ; '-"<y":!Vn& %V.0" =.XIMC %V+ C ?X*#|%V+-! @ '- ^ ?9+P'-"<+-'%V+-F~%/5%V3<+;RS*!/*?9?0+-? R "!$% 1 3.9?0+`%/3+;#/2@ %c*!$+ a.0#/:S2? <?A N @!/"4 ;OS*?0"& y <a+T=.9'T+-#.9# :#/+TFY%/5'T"45R<.9?9+ 2FYF<n <?9U*F %V3<+<?A N R!/"y*!V*4 =.9G* & > ! +T4;:?92%V"!T1 '-"<+-'T%/+-F %/G%V3+O#/+T!/.X2? R "!|% ;>'-* %/!/"?0?9+T! <?A N ^ U*!$F <?A "t" @!/"4 <a#$RS*'T+ !$+-y".0#$%/+-!/#`%V3+=2*?9:<+-#G2@}R3S*#$+I'T:!/!$+-U%V#T1*'T%/:S*?H*F{+T#$%/.9452%V+TF R "#/.M%V.9* 1 =8.9 ; < '-"U=*+-!$%/+-!$#-1}+-<'-F+-!.9U%/+-!$@2'-+g*FoF.9y*.0%d2? ( !$+-#$Rb+T'T%V.M="+T? oW 3.0# !/+Ty".9#|%V+T!/+-FY=*2?9:+T#O +-!/+G:#/+TF@"!_F+ ^ :y"y*.9y5R:!/R "#$+-#*<Fk%V y*+-+T!V2%/+P%V3<+GR?0*%V#O#/3 .9r%/3+ +6%#/+T'T%V.0" . .9y +P#$3 R.9'%V:!$+`2@w%/3+ +68Rb+T!/.045+T %V*? #$+T%V:<Rk.9r%/3+ ?X ^ "!V7%V"! 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L)2%/.9" +-!/!$"!/#T1H*#*U%V.0'-.0RS2%V+TF ^U %V3<+ #/.04;:?92%V.0"# . .9y +p#$3 %/3+ Rb"#$.0%/.9" +T#$%/.9452%V.0" +-!$!/"!IF:!/.0y %V3+~#/*4N+ +68R +-!$.94N+-U% : *#+ 68Rb+T'T%V+TF 1lF:!$.9yI%/3+;%V!/*#$.9+-U%a%/3++-!$!/"!_.9#_?9*!/y*+*1 ^ :<% .9#|%V+-*F #|%d2%/+ .0% .0#}#/.0y".0')*U%V? !$+-F:<'-+-F Speed step at constant torque load 700 600 500 ω(rad/s) 400 300 200 100 0 0 0.1 0.2 0.3 0.4 0.5 t(s) 0.6 0.7 0.8 0.9 1 'ARb+T+-F #$%/+-R !/+T#/R "#/+21O%/3+~#/R +-+TF !$+T@+T!/+-<'-+$:4NR#I@!/*4 h*t /% *h t"t . +T?9+T'T%V!$.9'-*? .M%V3g'-"<#$%d2 %%V*! :+ *@ . .0y":!/+ $'& 8 Position estimation error in the speed step experiment 1.2 1 0.8 ∆θ (rad) 0.6 0.4 0.2 0 −0.2 −0.4 0 . .0y":!/+ 0.1 0.2 0.3 0.4 0.5 t(s) 0.6 0.7 0.8 0.9 1 'ARb+T+-Fg#$%V+TRk!$+-#/R "#$+*1 R "#/.M%V.9*r+-#$%/.9452%V.0" +T!/!/*!.0 . +-?0+-'%V!/.0')*? ^ ^ ; +%/%/+-! R +-!$@*!/45*'-+}'-* + 2'd3.9+="+-FN.0@ + :#/+a?9+T#/#H*y"!$+-#$#/.0=*+}'-"U%/!/"?0?9+-! . .0y"# *F h +#/3<n %/3+;!/+T#/:?M%V#a2@ %V3+;#/*4N+;+68R +-!/.045+TU%)1b .M%V3 I4NF.0S+TFk'T"U%V!/*?9?9+T! +')*g ^ #$+-!$=*+`%/3S2%c%/3+ ="+-!$#/3*%.9#,!/+-F<:'-+TF 1S 3.9?0+_%V3+ #|%d ^ .0?9. L)2%/.9"%V.045+a.0#}#/?0.9y"3U%V? .9<'-!/+-*#/+TF W 3<+cRb*#/.0%/.9" +T#$%V.04I7%V.9*P+T!/!/*!w.0#w!$+-F:'T+-FF:<!/.9<y%/3+ %/!V*#$.9+T %-1 ^ :<%w.9P#$%/+)*F #$%V2%V+ .M% .9# *?045"#|%c%V3<+`#/*4N+ . .9y ,+;#$3 %/3+G!$+-#$Rb"<#/+G%/rI?9"*FY%/"! :+P#$%V+TR 1 3.0?9+ %V! .0y5%/ e*+T+-R~%V3<+ #/R +-+TF'-"#|%d*U% W 3+c%V"! :+c'd3S*<y"+-F@!/"4 t %/ *F;%/3+c#/R +-+TF5!$+-45*.9<+-F;'T"#$%V*U% 2% t*t . $'& . .9y +`#/3 %/3+ Rb"#$.0%/.9" +T#$%/.9452%V.0"r+-!$!/"! W 3 +G*?9y"*!/.0%/34 3*# ^ +-+T.94NR?0+-4N+-U%V+TFg.0g%/3+GR<!/*%/*% Rb+ ^ "*!/FY*F.M%V# R +-!$@*!/45*'-+ .0# #V7%V.9#|@*'T%/"! 1Q*?M%V3*:y"3 .M%`.9#`*%2#Gy"8F *#P.0%V#?9SU7%V.9<y2&R ".9U% 'T":U%V+T!/RS*!|% {#$%/+)*F '! 8 Speed step at constant torque load 700 600 500 ω(rad/s) 400 300 200 100 0 0 0.1 0.2 0.3 0.4 0.5 t(s) 0.6 0.7 0.8 0.9 1 ' A8R +-+TF#$%/+-R~!$+-#/R "#$+G 0. %/3k4N8F<.0S+TFY'T"U%V!/*?9?9+T!-1S%V3<+G#/R +-+TF~!/+@+-!/+T'-+ $:45R<# @!/*4 *h t %V h*t"t . $'& +-?0+-'%V!/.0')*? .0/% 3g'T"#|%d*U% %V"! :+P2@ #$%V2%V+21 %V3+ R "#$.0%V.0" +T#$%/.9452%V.0" +T!/!/*!;.9# ^ ":8% E h! . +-?9+T'T%/!/.9'-*? 1 3.0?9+5%/3+ +T!/!/*!;!/+ & R "!$%/+-F5@*!%/3+ 9U2%V.0y2&(Rb".0U%Q="+T!/#/.0" .0# EMnh! O . % 'u ;_?0#/1 .95":!.94NR?0+-4N+-U%d2%/.9";%/3+-!$+ .9#O5R "#$.0%V.M="+` )b#/+T%O 3+-%/"! :+P.9#O*RR?0.9+TF 1S 3.9'd3.0#O<*%aR!$+-#$+-U%.9g%V3+ 9SU2%/.9y7&R ".9U% .94NR?0+-4N+-U%d2%/.9" ^ A8.9<'-+.0%,*#`*% %V3+N45*.9~ $+-'T%/.0=*+5*@ %V3.0#a,*!/e%Vg"R<%/.94N. 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L)2%/.9"5+-!/!$"!/# %V3<.9#_'d3*R<%V+T!-1 +#/3 +-Fp3 45F.0')2%/.9"g.9k%/3+;'T"U%V!/*?9?9+T!_'T"#$%V*U%V#'-*~.94NR!/=*+ %V3<+;Rb+T!$@"!$4I2'-+ : 3,+="+-!T1 %V3+;R<!/'-+-F<:!/+;,*# *~+T45R.0!/.0')*?l"+ ;_FF.M%V.0"S*?w*S*? #/.9# #/3<":?9F ^ +;45*F+;.0"!$F+-!a%/ISFp #/R +-'T.0S'#$+T%2@ 'T"#|%d*U%V#a@*! ^ +%/%/+-!aR +-!|@"!/45*'T+ *@\%V3+<68+TF8&R ".9U% ="+T!/#$.9" . .0y":!/+ 8 < Position estimation error in the speed step experiment 1.2 1 0.8 ∆θ (rad) 0.6 0.4 0.2 0 −0.2 −0.4 0 0.1 0.2 0.3 0.4 0.5 t(s) 0.6 0.7 0.8 0.9 1 . .0y":!/+ 'A8Rb+T+-F5#$%V+TR !/+T#/R "#$+O .0%/354NF.0S+TF5'T"U%V!$"?9?0+-!-1UR "#$.0%V.0"+-#|%V.9452%/.9"+T!/!/*! .0 ! . +T?9+-'%Vh !$.9')2? Torque step at constant speed 250 200 ω(rad/s) 150 100 50 0 0 0.1 0.2 0.3 0.4 0.5 t(s) 0.6 0.7 0.8 0.9 1 ' W "! :+G#|%V+-Rk!/+-#$Rb*#/+21b%V 3<+G?9"*Fg%/"! :+ $:4NR#@!$"4 t V% +T?9+T'T%V!$.9'-*? .0%/3g'T"#|%d*U%O#/R +-+-FY!/+@+-!/+T'-+`*@ t"t! . $'& . .0y":!/+ 8 t Position estimation error in the torque step experiment 0.4 0.3 0.2 ∆θ (rad) 0.1 0 −0.1 −0.2 −0.3 −0.4 . .9y":!$+ 0 0.1 0.2 0.3 0.4 0.5 t(s) 0.6 0.7 0.8 ' W *! :+`#$%V+TRY!$+-#$Rb"<#/+*1 R "#/.M%V.9*g+T#$%/.9452%V.0"r+-!$!/"!}.0 0.9 1 ! .~ +-?9+T'T%/!/.9'-*? %V3.0# "!$ek,+N3S)="+NR!$+-#/+TU%V+-F{g?0nc&('-"#|% 3S*!$F<c2!/+N.94NR?9+T45+T %V2%V.0"*@,r#/+T#/"!$?9+T#/# '-* %/!/"? *?9y"*!/.0%/34 @"! 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N !$+-#/#T1 N .9#/'-2%d), 1 <1 <'< % ' ;_S2?9"y <a+T=.9'T+-#-1 ' % ") 3 ) '*) /' ' ' 5. 53 /' + % 5.02") ('*) 1 =<'< ! <2%d2#/3+T+T% % ' ;_S2?9"y <a+T=.9'T+-#T1 ' , 3 /3 ' " /3 ) 3 ) 1 <'<'< <2%d2#/3+T+T% ^ % ' ;_?M%V+-!/Q>,"!/R "!V7%V.9* , ) ) - 3 ) , ) /3 71 O="+T4 +-! h <'<'< <2%d2#/3+T+T% % ' ;_S2?9"y<a+T=.0'-+-#T1 ' % 5. ,5, /. , ) 2 )(%1 g ;_R<R?9.0')2%/.9" *%V+ @k t"t*t " % ' ;_S2?9"y <a+=8.0'-+T#-1 ' ' ") ,'1) ' *1 =<'< ! <2%d2#/3+T+T% % ! ' ;_S2?9"y <a+T=.9'T+-#-1 ' . ) %(' . /. , !" ! $# % $ +#) %'& #) ' 5. ! ! ! ! " ! $ ! ! # ! . )(% ,5./. y".9<+-+-! *%V+ , & < ! ! ! # ! $ $ ! !# ! . ! ! !# $# % % ") ! '" - 3 ) ,) ' 1;OR!/.0? <'< ! ! ""! y".0+-+T! W ' % ' ;_S2?9"y <a+=.9'-+T# ' ' < @ ;G1 ) /3 .0, 3 ;OS*?0"y <a+T=.0'-+-# < ' 1"!$ 8F 1 "t t"t % ' 4P4 *#$+-?945* 4NR?0+-4N+-U%d2%/.9"k*@cF.0y".0%V*?\'-"U%V!$"?9?0+-!$# r#/:<!$="+ " t n ' 1 =< ! % ' '7' . < "!/e 1 1 = <<" A%VF . 5 ,, t & =<<" -,) ) ) ) . ) .0, 3 ,' ") ! ' "1 N !/+T#/#T1 +T ! . .0y":!$+ ; 'C,U*!$F #/'d3+T4I2%/.9'T# 4 5 J3 PWMBUS C17 100nF 6 100nF 100nF C18 VCC 7 100nF C19 5V CLK AD9240 C20 AVSS1 AVSS2 DVSS DRVSS BIT1 BIT2 BIT3 BIT4 BIT5 BIT6 BIT7 BIT8 BIT9 BIT10 BIT11 BIT12 BIT13 BIT14 C15 C16 5V REFCOM VREF SENSE VINB VINA BIAS OTR R10 2.0kohm 8 9 POSBUS HDR2X10 J4 10 C21 5V C22 C23 VCC C24 5V 11 WR\ RD\ IOMS\ C25 EPF6016 TP1 TP2 TP3 TP4 DCLK DATA nSTATUS CONF_DONE nCONFIG nCEO nCE MSEL RST IRQ\ CLK DSPA0 DSPA1 DSPA2 DSPA3 12 TPBUS J7 J8 J9 J10 13 13 R15..19 U5 5x1K DSPD0 DSPD1 DSPD2 DSPD3 DSPD4 DSPD5 DSPD6 DSPD7 DSPD8 DSPD9 DSPD10 DSPD11 DSPD12 DSPD13 DSPD14 DSPD15 12 100nF 100nF 100nF 100nF 100nF POS0 POS1 POS2 POS3 POS4 POS5 POS6 POS7 POS8 POS9 POS10 POS11 POS12 POS13 POS14 POS15 PWM1 PWM2 PWM3 PWM4 PWM5 PWM6 VCC 11 VCC 5V 14 VCC 10uF C37 10kohm HDR2X5 J6 5V R24 VCC HDR2X7 J5 14 HDR1X2 J12 15 5V C27 VCC C28 XTAL CLKIN GND GND1 GND2 GND3 GND4 GND5 GND6 GND7 GND8 GND9 GND10 VCC VCC1 VCC2 VCC3 VCC4 VCC5 C29 5V PF1 PF2 C30 MMAP BMODE ADSP-2181 U6 16 Title: digckt 17 100nF Document N C36 C34 100nF 10uF C35 C33 10uF 0001 J14 5V J15 5V Revision 10kohm R27 HDR1X2 VCC 10kohm R26 HDR1X2 VCC HDR1X3 J11 HDR1X3 J16 5V HDR1X2 J13 10kohm VCC 10kohm 5V 15pF 15pF 2 C32 X3 C31 1 18 R25 VCC 5V R28 VCC 17 Project 1 16 18 of 1 Sheet Approved by: 1 Date Mar 27, 2001 Checked by: Designed by: gabriel VSS VCC -5V 5V 100nF 100nF 100nF 100nF 100nF C26 ERESET\ RESET\ EMS\ EE ECLK ELOUT ELIN EINT\ EBR\ BR\ EBG\ BG\ IRQE\ CLKOUT A0 A1 A2 A3 WR\ RD\ IOMS\ D8 D9 D10 D11 D12 D13 D14 D15 D16 D17 D18 D19 D20 D21 D22 D23 R20..23 4x10K 15 1.0 L K J I H G F E D C B A Size C O DSUB15F VCC U3 AVDD1 AVDD2 DVDD DRVDD CML CAPT CAPB 5V C9 100nF 100nF 10uF C14 100nF 100nF C13 R9 33ohm 7 C7 100nF 100nF -5V ADCB0 ADCB1 ADCB2 ADCB3 ADCB4 ADCB5 ADCB6 ADCB7 ADCB8 ADCB9 ADCB10 ADCB11 ADCB12 ADCB13 CLKOUT ADCA0 ADCA1 ADCA2 ADCA3 ADCA4 ADCA5 ADCA6 ADCA7 ADCA8 ADCA9 ADCA10 ADCA11 ADCA12 ADCA13 10 O 3 100nF C12 R8 33ohm AD8042 U4B VS+ VS- VCC C8 100nF C5 C10 VCC CLK AD9240 C6 AVSS1 AVSS2 DVSS DRVSS BIT1 BIT2 BIT3 BIT4 BIT5 BIT6 BIT7 BIT8 BIT9 BIT10 BIT11 BIT12 BIT13 BIT14 R3 2.0kohm 9 N 2 R14 REFCOM CML CAPT CAPB BIAS OTR 100nF 100nF 100nF 10uF C3 VREF SENSE VINB VINA AVDD1 AVDD2 DVDD DRVDD U2 8 N 1 R12 1.0kohm 33ohm AD8042 1.0kohm 2.0kohm 5 R13 6 R2 C4 R1 33ohm 7 U1B VS+ VS- 5V 7 M 0 C11 10uF R11 2.0kohm 100nF C1 2.0kohm R5 5 6 VCC 6 M L VCC R6 1.0kohm AD8042 1 U4A VS+ VS- VSS 10uF C2 R4 2.0kohm 5 K 5V 3 2 AD8042 1 U1A VS+ VS- VCC -5V 5V 3 2 R7 1.0kohm 4 J HDR1X8 J2 HDR1X8 J1 VSS 3 I H G F E D C -5V 2 VCCINT VCCINT1 VCCINT2 VCCINT3 B 1 VCCIO VCCIO1 VCCIO2 VCCIO3 VCCIO4 VCCIO5 VCCIO6 VCCIO7 GND GND1 GND2 GND3 GND4 GND5 GND6 GND7 A 0 = = 7 = < = = 7 = . .0y":!/+; ' N > C #/.0?9e #/'T!/+T+- !t = = 7 = . .0y":!$+ ; ' N > C %/"RY?9 +-! ! = = 7 ! = . .0y":!/+ ; ' N > C .9<+-!}?X +-! = = 7 . .0y":!/+ ; ' N > C .9<+-!}?X +-! h ! = = = 7 . .0y":!$+=; ' N > C = ^ *%/%/"4 ?9 +-! ! O+ R<!/+-#$+-U%,%/3+ 452%V"! 4N8F<+-?.0N%/3+ #$%d7%V.9*S*! @ !V*4N+ W 3+}@:'T%/.9",*# '-F+TFI.95@"!/452%#/:<.0%d ^ ?9+}%V ^ +O:#$+-FN .0%V3%V3<+ 8$;#/"?M="+-!$# W 3 +'-*#$%V*U%V#c2!/+F+TS<+-F .9r%/3+ 89 !97!+ k"! 89 !97! YS?0+-# %V3.0#H#$+-'%V.9*N !#"%$&'($)'+*,.-/.-/ 012.-/341405-/364.-/78089 : % !;"<$&'($)'+*,.-/.-/ 012.-/341405-/364+-/7 09 : :;= 41 1>?%>41@'AB'C!4A40;!;D AEF = F+-G$HC@4A< !>;1!%IJ4K%$0!34A>+L : : $414A34A !>+M : N H140&D 1POQR6 A41POSR'A241POTD A41U : : & 1>41@'A4A>VR&48$5M : 34140PMT140&D 1#1!$W3 0!4124A : 364+M6 A41#1!$W3 0!4124A : 7 0PMT01; !>X A : : 1404$Y$!A $;$41!48$4AR AZR%$8$0PL[' 2 06 140W&44\@'&4]H^@'&4X4_@'&4X4\@'&4X]H^@' 2 06 140W`$)'ba4_@'a],' 2 06 140#c@'bdH'E H140W"#e*H]9(O R64#"#e*f^9(O R'"e*fg9(O !h = O ! D;"e* 9(O &DC@#"&44\@'4$ R5*f\!DC9&4]H^@'4$ R5*H]H^!DC9(O &DC@X#"&4X4_@ ' &4X4\@'44$C*f\!DC9&4X]H^@'44$C*H]H^!DC9(O &DCH140"W&DC@ 44$C*,DC9Y&DC@X4$ R5*,DC9(O &DCR64;"W&DC@ 4$ R5*,DC 9 &DC@X 44$C*,DC9(O aH140! !;";3414 0 Y`$)' 8H14 0 R' (*f^ !a],' (* 8H140 4$ R5*f^ DC9R644 $C*f^DC9 9&D(H1409(O aR64 !;";364 Y`$)' 8R64 R' (*f^ !a],' (*HH140 44$C*f^ !4DC9 CR64 $ RP*f^!DC99&DC@649 O H140! !;" *,aH140! ! (*,a4_@' !a],' 44$C*f^ !DC99 !a],' !a@64 4$8R5*f^ !D(9 9 Z*,a4_@' H^ !a],'H^9(O R64 !;" *,aR64 ! (*,a4_@' a],' 44$C*f^ !DC99 !a],' !a140! 4$8R5*f^ !D(9 9 Z*,a4_@' H^ !a],' H^9(O 41!'"#E (*,a],' (**HR64 H^ 8H140 H^9 4$R5*f^ !D(9 4^ H140 8R64 4 $C*f^ DC949 H1 0 & DCH140 R6 &D(R64C9(O R' !;"] c@' (*,41! ' WdH' R ' Y7 089(O D4 !;";R' O !#" N H140! !.O)R64 !.O R' !.O/D8 !U+O ! W 3+9S"2%V.0y2&R " .0 % =*+-!/#$.9"~2@ %V3+2?9y""!$.0%/34K:#$+-# "+P#/'-!$.9R<%_S?9+ !6 !#! !+ %Vr!$: %V3<+N#$.94;:<?X2%/.9" 1 *Fp.9~+-*'d3 N @ Rb+T!/.9F .0%'-*?9?0#a%V3+#$+-#$"!/?0+-#/#P*?0y""!/.M%V34 !#!! >,"#|%d*U%/#_*!$+ FT+ S<+-Fk.0 8" !97! #" %$'&STV : $ ,'($0A $$5L[' : :;= ,'8801 !#D A<$!A!$!> 0A $$;140!2 !>@D' L : 01%$41!48$ 0A1> $8$05O : RC@H1408 (4AW'A@'C!>?;34140 A $ H140!41_#"<_PO R6 A41_#"<_PO H1 " (4A> 4$C*H](- \9(O R6; " (4A> 4$C*H](- \9(O #"; A $C*H](- \9 !7E )F \PO ;".O &H4#"# !7 *+47.O 140D 1;"#_PO R'8D 1;"#_PO DD 1;"#_PO 6$!A>>;"<_PO R4]B";_PO R44^";_PO R44g";_PO : RC@H140%4@$ H140_"bH140!41_PO R644_"bR6 A41_PO R'_";_PO D _";_PO = O : >4A!& A1+ = RF;,'A $5M : >$0A $$W140!2 !>@D' : ><A1 HD$H6CR44A>34140!D A;E)F?80A;;D AEF = F'C!4A40 : *HR04R42%4A1,'A9(- 00A R42bH4>>4A!48$;1;A1 HD$C@8HDCR42 4_"#_PO ?4_" N H140_PO)R644_PO R'_PO/D _U.O 4#"#4_PO ? 4#"#?4_ 4O DD 1 4%"D _PO !>& 'eR4<"b] M + = RF+: >4A !1400%44A><34140 A $<R'8&44A%%01 $<E )F#& A>! H4#"#&H4.O : > $!A!$!> 0A $$#140!2 !>@D' N &H4.-/D44A@'8&+-/34140!41P-/36 A41UV"%$0A $$C*HH1P-)R6+-)@>4A.- 4>4A9(O : @>8$<E )F$H6CR44A>34140 #"4 _ %H4e*H]9 !7 *+47.O N 4A@'8&+-/?4A@'8&4U";!4A^g * f$&'($)' 4- N 4_bU.-/?4_P- N U.-/341404$ ](-/3648$ ](-/7 09(O 4#";0A!42D5*,4A@'8&C9(O 4#" N 4.O 4A@'8&5*f^.M [email protected] ? 4#" N ? 4.O ?4A@'8&5*f^.M [email protected] DD 1 4<" N DD 1 4.OG A $C* 4 8](-)]9 !D44A@'8&4U.O H1 *H]9Y"?4A@'8&5* 4.-)]9(O R65*H]9Y"?4A@'8&5* 4.- ^9(O 4_".O ?4_"?4A@'8&5* 4.-4Mf9 4O : $!A 4<E )Fb$H6CR44A>34140 #"4 _ %H4e*f^9 !7 *+47.O N 4A@'8&+-/?4A@'8&4U";!4A^g * f$&'($)' 4- N 4_bU.-/?4_P- N U.-/341404$!^P-/3648$!^P-/7 09(O 4#";0A!42D5*,4A@'8&C9(O 4#" N 4.O 4A@'8&5*f^.M [email protected] ? 4#" N ? 4.O ?4A@'8&5*f^.M [email protected] DD 1 4<" N DD 1 4.OG A $C* 4 8](-)]9 !D44A@'8&4U.O H1 *f^9Y"?4A@'8&5* 4.-)]9(O R65*f^9Y"?4A@'8&5* 4.- ^9(O 4_".O ?4_"?4A@'8&5* 4.-4Mf9 4O : DC@><E )F$H6CR44A>34140 #"4 _ %H4e*fg9 !7 *+47.O N 4A@'8&+-/?4A@'8&4U";!4A^g * f$&'($)' 4- N 4_bU.-/?4_P- N U.-/341404$!gP-/3648$!gP-/7 09(O 4#";0A!42D5*,4A@'8&C9(O 4#" N 4.O 4A@'8&5*f^.M [email protected] ? 4#" N ? 4.O ?4A@'8&5*f^.M [email protected] DD 1 4<" N DD 1 4.OG A $C* 4 8](-)]9 !D44A@'8&4U.O H1 *fg9Y"?4A@'8&5* 4.-)]9(O R65*fg9Y"?4A@'8&5* 4.- ^9(O 4_".O ?4_"?4A@'8&5* 4.-4Mf9 4O : 4>D%E )Fb$H6CR44A>34140 #"4 _ %H4e* 9 !7 *+47.O N 4A@'8&+-/?4A@'8&4U";!4A^g * f$&'($)' 4- N 4_bU.-/?4_P- N U.-/341404$ -/3648$ -/7 09(O 4#";0A!42D5*,4A@'8&C9(O 4#" N 4.O 4A@'8&5*f^.M [email protected] ? 4#" N ? 4.O ?4A@'8&5*f^.M [email protected] DD 1 4<" N DD 1 4.OG A $C* 4 8](-)]9 !D44A@'8&4U.O H1 * 9Y"?4A@'8&5* 4.-)]9(O R65* 9Y"?4A@'8&5* 4.- ^9(O 4_".O ?4_"?4A@'8&5* 4.-4Mf9 4O : @D%E )F$H6CR44A>34140 #"4 _ %H4e* 9 !7 *+47.O N 4A@'8&+-/?4A@'8&4U";!4A^g * f$&'($)' 4- N 4_bU.-/?4_P- N U.-/341404$ P-/3648$ P-/7 09(O 4#";0A!42D5*,4A@'8&C9(O 4#" N 4.O 4A@'8&5*f^.M [email protected] ? 4#" N ? 4.O ?4A@'8&5*f^.M [email protected] DD 1 4<" N DD 1 4.OG A $C* 4 8](-)]9 !D44A@'8&4U.O H1 * 9Y"?4A@'8&5* 4.-)]9(O R65* 9Y"?4A@'8&5* 4.- ^9(O ! = A!4 O 4_".O ?4_"?4A@'8&5* 4.-4Mf94O : $ @D%E )F$H6CR44A>34140 #"4 _ %H4e*f\9 !7 *+47.O N 4A@'8&+-/?4A@'8&4U";!4A^g * f$&'($)'4- N 4_bU.-/?4_P- N U.-/341404$!\P-/3648$!\P-/7 09(O 4#";0A!42D5*,4A@'8&C9(O 4#" N 4.O 4A@'8&5*f^.M [email protected] ? 4#" N ? 4.O ?4A@'8&5*f^.M [email protected] DD 1 4<" N DD 1 4.OG A $C* 4 8](-)]9!D44A@'8&4U.O H1 *f\9Y"?4A@'8&5* 4.-)]9(O R65*f\9Y"?4A@'8&5* 4.- ^9(O 4_".O ?4_"?4A@'8&5* 4.-4Mf9 4O Y%$ : $8$0PL[' : : +'A>!<$41!48$ !>#D A%$!A!$!> 0A $$#140!2 !>@D' L 2 06 140 )&C@;7E )F<7 *+4 7 *E7E)FFF] FF4^FF4g 2 06 14 0 (]Y1 ] 8^#1 ^ 8g#1g08,' 3 08,' = = 2 06 14 0 *+C]I ` g ` g4I ^ *+C]I\ = ` g4I8]H^ K *+C]I8]H^K 2 06 140H140!41_ R6 A41_##;140D 1R'8D 1;DD 16$!A>> R4]#R44^R44g : $ ,'8801%& 1>41@'A4A>8$ : '86 A>%!;E )F?80A $W ;$ ,'88014A + = RF;" ___PO 7E )F;";^A O 4>4A#" __PO @>4A;"#_PO 7 0W"](O : E )F44A>;& 1>41@'A4A>8$ 7 *+47#"b]HA PO *E7E )F<";7E )F !7 *+47.O : R434A>4A>;& 1>41@'A4A>8$ 4d = ";^__P= O KF # " 4d 4$X>e*f^9(O 7J4K J<"#^A \PO *E7J4K J<";7J4K J !7 *+47.O 341404$ ]Q"#^ 4$X>e*f\9 4d = O 3648$ ]Q"#_PO 341404$!^#"] 4$X>e*f\9 4d = O 3648$!^#"] 4$X>e*f^9 4d = O 341404$!g# " 8] 4$X>e*f\9 4d = O 3648$!g#"] 4$X>e*f^9 4d = O 341404$ " ^ 4$X>e*f\9 4d = O 3648$ "#_PO 341404$ # " 8] 4$X>e*f\9 4d = O 3648$ # " 8] 4$X>e*f^9 4d = O 341404$!\#"] 4$X>e*f\9 4d = O 3648$!\# " 8] 4$X>e*f^9 4d = O : 24A! A>4140'A>!;$41!48$ = ` g4I = ` ^#"$X>e*fg ^9(O = ` g4I^#"<$X>e*fg9 ^PO *+C]I\#"] \PO *+C]I = ` ^#" ] 4$X>e*f^9(O *+C]I = ` g#" ] 4$X>e*fg9(O *+C]I = ` \#" ] 4$X>e*f\9(O = ` g4I8]H^K;"$X>e*fg9 8]H^ !KF .O *+C]I8]H^K;" ] 8]H^ !KF .O : 'C! !>& 1>41@'A4A>8$ !'! 2 0 140W&44\@'&4]H^@'&4X4_@'&4X4\@'&4X]H^@' 2 0 140$)'ba4_@'a],' 2 0 140#c@'bdH'E E" O : F A HD 1!C!!140 * 8!>H'1408!$!A C@D<EG9W$41!48$5M c@'"4_.L A gPO dH'"4_.L A gPO :a4_@$)''F8"4"!_..!LL/>;^PA A4O gP0A O >!!140#& 1>41@'A4A>8$5M a],'" 8] L A gPO aH'"a4_@' a],' O aXH'"a4_@' !a],' O : *4$! !4VR;X4" ^ !4#X4gW#& >!@'A4A>8$ * $!A R $!A>34A><A>> !>;24A! A>!C9 @a],'" !a],' (*,a4_@' H^ !a],' H^9 O &44\@'"4_.L/__](O &4]H^@'"4_.L/___ PO &4X4_@'"4_.Lf](O &4X4\@'"4_.L/__ PO &4X]H^@'"4_.L/___ PO : $' >@!W&4>4A R'8&44A%3 0!! 24A $ )&C@#" N 4$X>e*f\9 g^ 4d = 8] 4$X>e*f\9 g^_ 4d = 4$X>e*f^9g^_4d = O 4$X>e*f^ 9 g^ 4d = g 4$X>e*f^9 g^_ 4d = 8]] 4$X>e*f\9g^_4d = O g 4$X>e*f\9 g^ 4d = ^ 4$X>e*f\9 g^_ 4d = %4$X>e*f^9 g^_ 4d = O 4$X>e*f^9 g^ 4d = $X>e*f^9 g^_ 4d = gg 4$X>e*f\9 g^_ 4d = O = = ^ 4$X>e*f\9 g^ 4d 8] 4$X>e*f\9 g^_ 4d 4$X>e*f^9 g^_ 4d = O = = \ 4$X>e*f^9 g^ 4d 4$X>e*f^ 9 g^_ 4d ^^ 4$X>e*f\9 g^_ 4d = O $X>e*f\9 g^ 4d = ] 4$X>e*f\9 g^_ 4d = 4$X>e*f^9 g^_ 4d = O 4$X>e*f^9 g^ 4d = g 4$X>e*f^9 g^_ 4d = ]] 4$X>e*f\9 g^_ 4d = O g 4$X>e*f\9 g^ 4d = ^ 4$X>e*f\9 g^_ 4d = 4$X>e*f^9 g^_ 4d = O $X>e*f^9 g^ 4d = 4$X>e*f^9 g^_ 4d = gg 4$X>e*f\9 g^_ 4d = U.O ::: I$!A>34A> $!!48$ a4_" .L/^AgPO a]@"8] LAgPO : *4$! !4VR;X4^"!4#X4gW&#>!@'A4A>8$ @a]@" !a] (*,a4_ H^ !a] H^9(O : J A $ @>4A $!A>34A>#&80A $ >]@"4^__PO >4^"4g__PO C]@"]H__PO &C]@" !>] C](OS& ^" !>4^PO& g" !>] 8 C](O : I $!A>34A>b$! !48$ FF ]Q " !>4A 40(* &C] & ^ & g9 ^ 8@a](O FF 4^#";>4A 40(* &C] & ^ &C] & g & ^ & g9 ^ 8@aC](O FF 4g# " !>4A 40(* &C] & ^ & g9 ^ 8@a](O 0A >;a4_#a]@a]Q>] >4^ C] &C]B& ^W& g ::: *44> 00A> $! !48$ : *!4>>4A!4 !4#3 0!! 24A<08,'e@8$ 08,'"]H^PO 3 08,'"8$X>e*fg9 ^ 4d = 4$X>4e*f^9 O : E Y4> 00A>V$! !48$ >]@"] (*H] 4_.L 89(O >4^"] (*H] _.L 89(O 8^"e*fc@' (*,>] >4^9 !dH'e9 !E &4X _@' O ^">] !>4^ (*,>] >4^ !dH' c@'e9(O >]@" __PO >4^" __PO (]@"aH' (*,>] >4^9 $)' O ]@">] !>4^ (*,>] >4^ $)' !aH'59(O >]@"4^__PO >4^"4^__PO 8g"aXH' (*,>] >4^9 $)' O g">] !>4^ (*,>] >4^ $)' !aXH'59(O !< 0A>;>]Q>4^ %$ S N H4.-/DD#.-/3!40!!P-/3% A!U "%$0A $$C*H P-) +-)@>4A.-4>4A9 : N H4.-/DD#U%"<$0A $$C*H P-) +-)@>4A.-4>4A9 : : E4A> !>H'($; A> 4%!#D A%$!A!$!> 0A $$;$!A>34A>!4%4> 0"40!2 !>@D' L : : R&48$5M : N ] LL/\U+M H4>>4A!4'A $H4>4A@'A!48$ : N ] LL/\U+M @4A@' : @>4A.- 4>4A+M >4A4A>4A!!A<!3 40 A $W !>#D A4> 00A> : : 'A@'C!>?+M : 40!! _.MS%0 $H4>>4A!4W'A $H4>4A@'A!4<> R'b&4>4A3$Y& A>! : A! _.M @4A@' : N ] LL/\U+M ,'A R44A>!3 404$<R'8&44A< 8Y& A>!8$ A !>4A * !4$!A8 C9 : N ] LL/\U+M ,'A R44A>!3 404$<R'8&44A%0 $#& A>! *, AW$!A A& A>!9 : 40#D .-GR'8#D .- D#D .-G $!A>>+M $!A>34A>%!3 > 80A $ : R4](-BR44^P- R44g.M R44A2!> !>8$ !>;D AE 804 $ : : 4&48$5M : H4 N ] LL/\U+M 4<!3 40 A $W !>#D AE )F%24A! A!> : D#D +M A $,$' 4A;&84$ @ : : 24AP- #F >8HD%^__] : : : +'A>!<$!!48$;0%4A;&4>4A3$0!?<> R'V$8$0PL[' : 2 0 #40 )&C@;7E)F<7*+47*E7E)FFF] FF4^FF4g 2 0 #40(] ]8" ^ ^ 8" g g08,' 3 08,' 2 0 #40 *+C]I = g = g4I ^ *+C]I\ = g4I8]H^ K *+C]I8]H^K 2 0 #40 40!! _ A! _## 40#D R'8#D ;D#D $!A>> R4]#R44^R44g : : I$!A>34A> : $ 40A<H4>>4A!4 : 434A>bH4>>4A!48$W 40!! A!<>!@'A !>b@"] M/\P: 'C!@HA% !>%$ ,'880% 80!? : 40!! *H9Q" = g4I = ^8 *H9(O : A! *H9Q " *+C]I = ^(*f^8 5*H9 *H99 O 40!! *H9W" *H9(O A! *H9W" 5*H9(O A!4 : $><34A !>; e*H]9B" *H 40!! *f^9 8 40!! *H]99 !e*f^C 9 V*H 40!! *H]98 40!!_9!e*H]9(O e*f^9B" *H A! *f^9 8 A! *H]99 !e*f^C 9 V*H A! *H]98 A!_9!e*H]9(O e*fg9B" *H 40!! *fg9 8 40!! *f^99 !e*fgC 9 V*H 40!! *f^98 40!! *H]99!e*f^9 O e* 9B" *H A! *fg9 8 A! *f^99 !e*fgC 9 V*H A! *f^98 A! *H]99!e*f^9 O e* 9B" *H 40!! * 9 8 40!! *fg99 !e* 9 V*H 40!! *fg98 40!! *f^99!e*fg9 O e*f\9B" *H A! * 9 8 A! *fg99 !e* 9 V*H A! *fg98 A! *f^99!e*fg9 O e* 9B" *H 40!! * 9 8 40!! * 99 !e* C 9 V*H 40!! * 98 40!! *fg99!e* 9 O e* 9B" *H A! * 9 8 A! * 99 !e* C 9 V*H A! * 98 A! *fg99!e* 9 O e* 9B" *H 40!! *f\9 8 40!! * 99 !e*f\C 9 V*H 40!! * 98 40!! * 99!e* 9 O e*H]H_9Q"Z*H A! *f\9 8 A! * 99 !e*R\ 9 V*H A! * 98 A! * 99!e* 9(O : R4#X;" )&C !;" )&C@ ! !> "] M/gPXe* 9B"<_PO !>b@"] Mf]H_PXe* 9Q"#Xe* 9 )&C@e*H(- 9 !e*H9(O A!4 < A!4 : $!A>34A>;&4!4A 40#D ;""40D##7E)F FF4g$!A>>.O R'8#D ;";R'8D##7E)F(* 40D#FF4^$!A>>C9(O D#D ;"D#D #7E )F (*)R'8#D FF ] $!A>>C9(O : A>> !>&4! 4A $!A>>;";Xe*fg9 44$C*f^ !D#D 9 YXe*f^9 4$ R5*f^ !D#D 9(O : 'C!80$ D#D ;"B'C!e*,D#D .- ^ &C9(O : : 4* 4> 00A> : : 34A>!24AH4>>4A!4Y'A $H4>4A@'A!48$ 40%3;"Z*H 40!!_ 40!! *H]99!e*H]9eO 4! 3;"Z*H A!_ A! *H]99!e*H]9eO !>b@"4^.M/\P 40%3<" 40%3Z*H 40!! *H8]9 40!! *H99e*H49(O 4! 3<" 4! 3Z*H A! *H8]9 A! *H99e*H49(O A!4 40%3;" 40%3^ !7E )F+O 4! 3;" 4! 3^ !7E )F+O : 434A>< W !X#!> @'A $ R4D<"<$ R5*,D#D 9(O 4$D<"<4$C*,D#D 9(O @#" 40%344$ D 4! 34$ R4D+O @X# " 8 40%34$ R4 D b 4! 344$D+O : @<4> " 0 804 *,E ]9 C]B"@>4A [email protected] R4]B"bR4] C] !7E )F+O @ * $C*HR4]9!3 08,'e9(R4]B"$ @25*HR4]9 !3 08,' O A!4 38Y" (] (* C] !]8R4]9(O : %4> 0 804 *,E H^9 ^" 4>4A R'8#D .O R44^"bR44 ^ ^ !7E )F+O @ * $C*HR44^9808,'e9(R44^"$ @25*HR44^9 808,' O A!4 @X>4A; " 8^ (* ^ !^8R44^9(O @ * $C*H@X>4A9808,'e9(@X>4A<"<$ @25*H@X>4A9 808,' O A!4 : @X<4> " 0 804 *,E Hg9 g"@X>4A [email protected] R44g"bR44 g g !7E )F+O @ * $C*HR44g9!3 08,'e9(R44g"$ @25*HR44g9 !3 08,' O A!4 3X8Y" 8g (* g !g8R44g9(O : + = %K 47 8I!a7 K = %K 4K8I I!EK +!a II!E : 38Y " PL/_]Hg PO : 3X8Y"#^.L/^] ^PO : 434A> # < 40!! A! <!> @'A $ R4D<"<$ R5*,D#D 4^ R'8#D !7E )F 9(O !3%3404A!$!! D<#"#""<33884$C 44*,$ D4R#D4$DD4^#WR33'8X8X8#D 44$!4R74$E)D+D+F OO 9(O : R4%$!A ! > !4#> !! 4A#34A !>< ;$!A !> ] @ *,%3 A! _9(@ *,!3 40!! _9(@ * *+C]I = g !%3 A! !!3 40!! 9(!3$!A40!>#!>;"#"!3 40!](! O PO A404$!A A404$!A A404$!A A!4 3%4>#"#3% A!PO $!A !>;"#^PO 3!40!>#"#!3 40!! PL ;3% A! = g4I^PO 3%4># " !!3 40!! = g4I^#3% A!PL PO A!4 @ * *+C]I = g!3% A! !3!40!!9 !3%3$!4A40!>#>#!>;"""#!!!33!gP4040!!O !!P= L g4;I^ 3%WA!3%A!= g4PIL ^P POO A404$!A !3%3$!4A40!>#>#!>;""#"#!3!!340^P40!!!O !PL = g4;I^%3 #A! %3 =A! g4IP^PL PO O A!4 A!4 @ ,* 3!40!!_9 @ * *+C]I = g!3% A!!3!40!!9 !3%3$!4A40!>#>#!>;"#"#"#!3!3 4040\P!!!! O P= L g4I^ 3%#A!%3 A=!g4PIL ^P POO A404$!A !3%3$!4A40!>#>#!>;"#" "!3!!340 P40!!!O !=P L g4I^%3W A%3 ! A! =Pg4L I P^PO O A!4 A404$!A @ * *+C]I = g !%3 A! !!3 40!! 9 !3%3$!4A40!>#>#!>;"" "!!%3!3 40A!O !! POPO A404$!A !3%3$!4A40!>#>#!>;"#" "!3!!340 P40!!!O !=P L g4I^%3W A%3 ! 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DEDE88 jj ]]^1^1kk ]1]1^2^2@@ 4747696988 *@@L3;`MTK1KK DD @@ 414144 [B[B\2\2[1[BW1[1PR d 010 ^2@GM3@ 8 ^C; DE8 j ]^1k "!$#%& 1]]101^2^20 @@ 4747K DE69698882H@Z@ZA D@B@BA1A1:1A7A7:[email protected] DD @@K 4141D 4743@ D416982Y47HH 6 K [B[B6 @\7\282R1S1HR1S@d2e; R 010100 ^2^2@G@GM3M3@@ 88 ^C^C;; DEDE88 jj]]^1^1kk mmj2j2ll22j*j* 88 ^^44d d '' [[ ]1]101^2^20 ]1@@ ^24747@69698847@Z@Z698 @@B@BA1A1A2A26982R3R3HKK DDSG@@K 4141D 4743@ 41D6982Y4 HH [B\[B[B\2\2n Q3[1R)[1(hTdeTS dS 010101000 ^2^2^2@G@G@GM3M3M3@@@ 888 ^C^C^C;;; DEDEDE888 jjj]]]^1^1^1kkk mmmj2j2j2lll222j*j*j* 888 ^^^444d d d ''' [[[ ]1]1^2^2@@ 4747696988 @@Z@B6982A14AH R3g3KK DD @@ 41414476982[BH\2R1[1[B[1\2[[ d+* 010100 ^2^2@G@GM3M3@@ 88 ^C^C;; DEDE88 jj]]^1^1kk mmj2j2ll22j*j* 88 ^^44d d '' [[ ]101^20 ]1@ 47^2@69847@Z698 @@BA14A 69g382HK Dg3@K 41D 43@ D41Y4 H [B\[B\2n Q3R1l1hTeGS Q 010100 ^2^2@G@GM3M3@@ 88 ^C^C;; DEDE88 jj]]^1^1kk mmj2j2ll22j*j* 88 ^^44d d '' [[ ]1]101^2^20?@@ 4747DGHB696988I @@?@BA)^26 @2:K :DE6 <82 ,CH6OHAK DD @:1[B41\2:B4@B[1A))h (1[B[\7K DES9Q38 e; Hn 82H ; 010100 K`K Y2D A1@ A24147@ 826 HK 6 @: 826 <HL6OH43D AZ^2@2: ,LK D A1A2@3K H76EDE8 ]1]101^2^20 @@ 4747]^1696988kZ@?@?>2>2>2@3@3@3K H3K3KGRJDS5AC;[B[B\24\ RgTgS ]1]1^2^2@@ 4747696988 @?@?>2>2@3@3K!K gJ[B[B\2\2RB[BPW ]1]1^2^2@@ 4747696988 @?@?>2>2@3@3KGK neJ[B[B\7\7S`S`le 010100 PBPBQ3Q3ll>>22:E:EY3Y3@@ DGDG4)4)66 4343DD ALAL;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:.:JRSFaa 696988 ff ]1]101^2^20L@@ 47476E01696988D @@M MMD A66 HT1RJS5B^1[B[B^1\7\2A2[S @3;1;G@3; 010100 PBPBQ3Q3ll>>22:E:EY3Y3@@ DGDG4)4)66 4343DD ALAL;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:<: g aa 696988 ff ]1]1^2^2@@ 4747696988 @@MM 66 gJ[B[B\24\ Rg 010100 PBPBQ3Q3ll>>22:E:EY3Y3@@ DGDG4)4)66 4343DD ALAL;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:J: ne aa 696988 ff ]1]1^2^2@@ 4747696988 @@MM 66 1 eJn [B[B\\2e 010100 PBPBQ3Q3ll>>22:E:EY3Y3@@ DGDG4)4)66 VV 4343DD ALAL;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:.:JRSFaa 696988 ff ]1]1^2^2@@ 4747696988 @@MM 66 V_V3RJS5[B[B+\\+*( 010100 PBPBQ3Q3ll>>22:E:EY3Y3@@ DGDG4)4)66 VV 4343DD ALAL;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:<: g aa 696988 ff ]1]1^2^2@@ 4747696988 @@MM 66 VV gJ[B[B\1\ Pd 7 4 9 6 8 6 010100 PBPBQ3Q3ll>>22:E:EY3Y3@@ DGDG4)4)66 VV 4343DD ALAL;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:J: ne aa 696988 ff ]1]1^2^2@@ 47698 @@MM 6 V3V neJ[B[B\2\BQl 010100 >2>2@3@3KK H3H3DD AA 4343DD AFAF;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:.:JRSLaa DD YY HH ff ]1]1^2^2@@ 4747696988 @@M2M2>7>2RZSi[B[B\2\7[S 010100 >2>2@3@3KK H3H3DD AA 4343DD AFAF;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:<: g aa DD YY HH ff ]1]1^2^2@@ 4747696988 @@M2M2>4> gZ[B[B4\\2gR 010100 >2>2@3@3KK H3H3DD AA 4343DD AFAF;`;`Y1Y1VV 69698282HH @B@BA1A1>>22:J: en aa DD YY HH ff ]1]1^2^2@@ 4747696988 @@M2M2>2> neZ[B[B\2\ e 010100 MK DD <1; <(6OH7 86E^bDE8 a D a YD HY Hf f ]1]1^2^2@@ 4747696988 @@MTM1MK DD < ;?[B[B\\2nh 7 4 9 6 8 H 01010505H7H766 <7<7@@ 4343DD A)A);`;`Y1Y1VV 69698282HH @B@BA1A1>>22:):)SFSFaa DD YY HH ff ]1]1^2^2@@ 47698 @@MM H RZSi[B[B+\+\ (* 01010505H7H766 <7<7@@ 4343DD A)A);`;`Y1Y1VV 69698282HH @B@BA1A1>>22:):)SFSFaa DD YY HH ff ]1]1^2^2@@ 4747696988 @@MM HH gZ[B[B\1\ Pd 01010505H7H766 <7<7@@ 4343DD A)A);`;`Y1Y1VV 69698282HH @B@BA1A1>>22:):)SFSFaa DD YY HH ff ]1]1^2^2@@ 4747696988 @@MM HH2eZn [B[B\2\BQl 0105H76 <7@ 43D AJ^2@B^BV= 8 ^ba D Y H f ]1^2@ 47698 @M H ^BVF[B\1W ]1]101^2^20 @@ <74747@O6969<88 @@D )A ,5DE6E8D (<=g@Gg=GM16OHM36OA2H@B@^Z; NH A2@[B[B4\\2N7gh6 ; 20H W@B* AC*; 8 ^*30101;100; D >BK ^126 ^1:EY3HA2@B@@3^J;143; >D A2DG4Z:EY3DE@38HBI;@5@g=-/.i6OH g=; H6OH H @; H H @?A2@ N76 ; H @BA 010100 (<B^13^12; 1A2@3H3;1;D A2DG4Z@ B^HBI @HBI ]@ 1Q2] P1_j1S PZV A26OH@ N76 ; H @BA ]1]1^2^2@@ 4747696988 @@ (<M 43^2; 12 MH 4BA2S@ N[B\2[B[14\R g 2W2e 010100 (<>32:E2; 1Y3@ H3H3D D A2@@ B8 ^GVCHB:BI@@ - ] 3 WR5V 6OH ]1]1^2^2@@ 4747696988 @@Z(<@ 832; 126 MA14o2RL@L[B[B\2\7[S`[ 010100 >> 22:E:EY3Y3@@ H3H3DD ^@ 86 G; VCGVC:B@L:B@L; ; H Y2H Y2A A H7 H76EDE6E8DE8 698698 P P A2@A2N7@ N76 ;6 H; @BH A@BA ]1]1^2^2@@ 4747696988 @Z@?^@ 86 3;1;; HH [B[B\2\2)[[1([ 01Y )W0 31j1^2W@3KB): BA2; @F6958 ; 4 698 @L;`Y1V2A D Y H7698 @ 0101010 01>0101BA01016 01GVC0101:B01@301; 0101010101010101010102010101020101030101010201010201010102010102010101030101020101010 01Y [01W201lB01j60101-/01. 01010 Q201P101j101PL010101M101gE<T0101^01 01H 01 014 02010101020101030101010201010201010102010102010101030101020101010 01Y 20 P .K`Y2A16 A2 @ 82n H ; 4 010100 <7<7@@33;`;`Y2Y2A2A2@B@B^.^.K`K`Y2Y2A1A1A2A2@@ 8282HH ;; 696988 MM II 33;G;G@@?V Y 2P .6 V n 4 010100 K`K`Y2Y2A1A1A2A2@@ 8282HH ;; 696988 V32@:EMH I**B\B\6 ;6 ; Y 2P .6 2: 4 h 4 Y 2P .6 V3@ H h 4 010 ^ 6O414 @BA2@ 8 KG@ DG4 K`Y2A1A2@ 82H ; 698 2:EM I B\ 6 ; Y 2P ^ 6 2: 4 n 4 "!$#%& 010100 ^;`Y16OV4146982@BA2H @B@ 8A1>KG@2:2;DG4 H7K`6 <7Y2A1@ A2@ 82H ; 698 V3@ H B\ 6 ; 22PP Z^H 6 V3n @ H 4 n 4 010100 ^;`Y16 V2:69824 H @BA1D >>22@B:2AF; ;`Y1H7V 6 <76982@ H @B4 A1A >D <F2: M2A2H7@B6 <7> @6ED YT;5M3@BA 6ED ^ 22PP ZHB^ 86 2 n:G^ H 4 n 4 010100 ^>2@36 V3K H3@ HD AZ \D >2@BAF;`Y1V 6982H @BA1>2: H76 <7@ 22PP ^\ 6 cVS`H[^ H 4 n 4 6 2P 1M [B R1\2[)l L(B+P *d [B\+( _S@d [B\+*1e1[1R [2\2[1R101R70 S<( [1 \2H l1A l16 e+\\* ^1 [1M \26 h g1[ DEn8 : [1,Z\4g1A h1D e2gTh ;5 [1R\\2h1 [B8 W3^<e g [2\ n P 3W [1\ 1Q1Q [B\2e 1Q2P [B\BQ3h n d [B\1W2lGQ [2\+( n 010 [ >2 [1@3\+K (1H3l D 3AZP ob [1\1acP1@3WB; Q H7n 6 <( [1 \1H P2@B[1^ZR nM=B [1A\2OR)<7()@ *2H e@BAC [2;3\7f SHg1R2l [1\2h)*1l2[ 4 Y 2P o R 4 010100 @3@3;; H7H766 (<(< HH @B@BC^^.3;`M3K1@1KG@2@B^:B@BA H76EDE8 Y 2P 2: I H 4 Y 2P LD < I H 4 010100?@3D VT; H7;G@B6 (<A1>2 H@BAF@B^J@BMA1AD D; A6OH76EDE8 Y 2P ZHBI1I H 4 Y 2P LD VT;G@BA1A 4 010100 ;K D698; @698 @DG4?DGHB4ZI @HBHI @ H Y 2P ; 6982HB5I 4 Y 2P K D ; HB5I 4 . 6 4 4 010100 A2A2@@ 44 @B@BA2A2@@ 88 KGKG@@);`6 M3^ @1@B^ Y 2P ^1A2@ dZ[ Y 2P g2A2@ 4 d D <7@ N BA2@ 4 S 4 01010L0L69698282HH @@ NN AA H3H3DD AA 4343DD AAgF6 ^LK DEK 82DE82H HA AD D:5:5VCVC: :D D2K 12K 1 Y 2P .6982H S 4 Y 2P .6982H R 4 01010L0 >69822H: 4@ NLA K H3DE82D AH A 43D :D A D Y6 oLH M1YK HDE82H A D :5VC: D 2K 1 Y 2P .6982H g 4 Y 2P >2: 4 4 010100 >B;GV3@3@K HH3LD A K DEDG824ZH AHBID :@JDK YDE82H M1H YA HD : D Y H M1Y H Y 2P >BV3@ H 4 Y 2P ;G@3K H3D A 4 010 K D Y 82H @BAZ> 2:EY3@3; 43D A HBI \@ ]^1k Y 2P C0 l - l)K 82H n 4 0101010L0101698201H0101@BA101AB01Y101M01HL010101H 01G01VC01:B01@ 0101010102010101020101030101010201010201010102010102010101030101020101010 01Y [01W201lB01j60101-/01. 01010 l+0101.EQ201W0101016O01H 01G01V 014 01010102010101020101030101010201010201010102010102010101030101020101010 X '1k ]); H BA H6j -4 4 6j - 4 6j - 4 010 A2@3;G@ H j6- 4 j6- 4 j6- 4 j6- 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 j6- 4 j6- 4 j6- 4 j6- 4 X '1k ]ZM1gE< 6 A16j o- 44 6j - 4 6j - 4 010 - W 6982H @BA1ABY1M H 6j - 4 6j - 4 6j - 4 6j - 4 j6- 4 j6- 4 j6- 4 j6- 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 6j - 4 0101010L0101698_01016OH701016 01201: 016 0101 H701016E01DE8010101K 01D 01^201@ 02010101020101030101010201010201010102010102010101030101020101010 01Y [01W201lB01j60101-/01. 01010 l+0101.EQ201W01010169018_016O01H 014 01010102010101020101030101010201010201010102010102010101030101020101010 ; H BA H )Q1P01k320 [?a ;G6EdD@ =gH DE=g86OH@GA2=g 6O@H N 6OHf; H; Hd? H 4 @3)P 32; [ 4 010?DE8 @5=g 6OH ; H H @ )P01-/320. [?a MT; H3dZK DD <M[ f54 ]^1dk )P 32N [@ 8 4 @BA H76EDE8 698 ] U P a GYT; H 698 K 3;G@ 6OH)6 5; 2:GA2@ B)^ ,JABY 818_6982N f 01-9k20 P [@ 8 GVCdZ:B@@ 8 69826 HA1o2@BA1@ AB4 Y1M H - W k01[0 j1P1 jJH?dZHBI @5@ 8 V33@; N7 H69814 8_6982N @ 8 GVC:B@L; H Y2A H76EDE8 698 P A2@ N76 ; H @BA 010F698 ^ 6 A2@3K H B^1A2@3;1; 6982N A2@ N76 ; H @BAC; 698_6OH76 2: 6 H76EDE8 2[?dZ[ 4 7S dZ[ 4 2R?dZ[ 4 4g?dZ[ 4 k3k_ [?S dZd)dZ[[S 444 k g?d)S 4 Y Y Y Y Y Y Y ^ "!$#%& k )d S 4 )Q1P01k320 [?a ;6 2HdZ: 4H[ T@?4 f5>d?BA P)6 32GVC[ :B4 @3; 698_6OH76 201:0L6 6 2H7: 46EDE18[?dJ[ 010L6 V3@ H 1[?dJ[ Q1-`k[?a d6 V3@HBH58 T4 f5d?P)32[ 4 H 4 )Pl-1237S jS d dLd K`Mn H 4 S DBn 2K`M H ^2@ B^ 4 010 : D B^)S 0Bn 2K`M H M1gE<2K`M H ^2@B^ Q . 698_6OH H7Q1k6 <7a @3-`[; k3'[T26jf5-Jd?)PlBW37S 4 4 0105HB8 a 6 f dFS 0Bn 2K`M H M1gE<2K`M H ^2@B^ 698_6OH H76 <7@3Q1k; a -1S k3[Tf5d?P)37S 4 0101050 H2: a I6 f H d)d?S [0Bn 2K`M H M1gE<2K`M H ^2@B^ Q1Q1kk aa 2D <: II HH f5f5d?d?)P)P 3232[[ 44 010?D < I H d?[ 0105HBI1I H d 698_6OH76 2: HBI1I H Q1)P-/k37. 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( 2 '2 " # ,QYHUWHUIRUWKH30PRWRU $ g \g % c . , . , . , ka-,&)(bqE6 j7 -,&("](^ 5 <) "; 6' & A B J6 pin1 1 pin2 2 pin3 3 fault pin4 4 pin5 5 pin6 6 J5 DB15-F 88 15 15 77 14 14 66 13 13 to 55 DSPACE 12 12 (digital) 44 11 11 33 10 10 22 99 11 1 SW1 3 2 D1 R15 220 9 5 4 2 1 8 7408 6 7408 R16 1K DVCC PWM6 PWM5 PWM4 PWM3 PWM2 PWM1 2 1 2 FO1 FO2 FO3 FO4 DGND NOTE: DGND and DVCC also feed the AND’s (pins 7 and 14 resp.) and a .1u capacitor is close to the chips. 8 U17C 7408 6 U17B 7408 3 U17A 7408 U16C U16B 3 U16A 7408 D2 10 9 5 4 2 1 10 1 2 R14 220 2 CPU AGNDU CPV AGNDV CPW AGNDW AGND NC1 VCC 2 GND 3 NC 4 /A 5 from A6 encoder /B 7 B8 /I 9 I 10 J7 1 2 3 4 5 6 7 8 U18 75173 1B VCC 16 1A 4B 15 1Y 4A 14 G 4Y 13 2Y G/ 12 2A 3Y 11 2B 3A 10 GND 3B 9 C14 .1u J9 1 pin1 2 pin2 3 pin3 to 4 pin4 5 pin5 DSPACE 6 pin6 (analog) 7 pin7 8 pin8 J8 1pin1 2 pin2 3 pin3 4 pin4 to 5 pin5 6 pin6 DSPACE 7 pin7 (encoder) 8 pin8 9 pin9 10 pin10 1 Page 2 of 2 May 4, 2000 Inverter for the PM motor Power Electronics and Motion Control Systems Laboratory Northeastern University 1 A B + !$ , + !$ c Qg[e t['<"$ "b+;'"\)Z'"E"$'>)'+;<6 ka,)bq6 j7 -,&."$LP`3:H / -+ C:\Program Files\ExpressPCB\inverter.pcb (Silkscreen) , + !$ ka-,&)bq6 j7 -,&("$LP`3:H / "$' +)B= C:\Program Files\ExpressPCB\inverter.pcb (Top layer) , + !$ ka-,&)LqE6 j7 -,&("$LP`3:H @! '""' 5 +)B= C:\Program Files\ExpressPCB\inverter.pcb (Bottom layer) , + !$ c Zg ZH , ; P`3:HX<) 5 PRVXW , PRVXW , PRVXW , PRVXW PRVXW PRVXW , k , k ,, k k , xbGb3t 3 , )!+;bq6 , P8VXW '*"$'&( y P`3:H <) 5 3:PQu , 24Gbt Zu 3:P 24GIt x x 3:P8V 24GIt EV 24GIt )!+;bq6 3C)(-"4'!['&"$' , -