电机统一理论中功率不变的坐标变换系统

336199911()JournalofZhejiangUniversity(EngineeringScience)Vol.33.6Nov.1999:1997201219:(1964-),,,,L:10082973X(1999)0620679208,(,310027):,,,L:;;:TM301.3:A0L,LL:;L,,,LL(1)22?(2)?(3),??,,L11.1[1]:T,[T(A),T(B)]=(A,B)ZE1,E2,,EnT(E1),T(E2),,T(En)Z:,,,Z,Z7=Ti,,,Z1.2[1]:R,[R(A),R(B)]=(A,B)ZRE1,E2,,EnR(E1),R(E2),,R(En)Z,,,(2),Z,Z22.1(2),Z,,,pc=(u,i)=(iT)3u=ni=1uii3i.(1),,Z22,Z,,:p=pc=(iT)3uZ,2,,,p=Re[pc]=Re{(iT)3u}=iTu.(2):,Sa=Ia3UaZ,Z,Z,(iT)3uZiTu,Z2.2u=zi,u=Cuu,i=Cii;u=ziZ,pc=(iT)3u=(i)Tu,:CTi3Cu=IZCi=Cu=C,CT3C=IC-1=CT3,CZ2.33.1:,(),()Z1.1,1.2:()Z,(),[2]Z(),()(),,ZabcfboPabcfbo=13ejHe-jH1ej(H-120)e-j(H-120)1ej(H+120)e-j(H+120)1Z(3)086()1999H=0,abc120Pabc120=13111a2a1aa21,120fboP120fbo=ejH000e-jH0001Z(4)[36],Z(),Z3,()1(u,i,7,F)Z1ZXi,fi,u,7,FZH=H0+t0Xdti.a,b,cfa(H,t)=f(t)cosH,fb(H,t)=f(t)cos(H-120),fc(H,t)=f(t)cos(H+120).(5)(5),f(t)Z:(),,,Za,f(H,t)=fa(t)+afb(t)+a2fc(t),,a=ej2P3,f(H,t)=[1,a,a2][fafbfc]T.(6)fa,fb,fcf,:N=[1aa2]Z2.3:(),ZZfNN=NNN3=13[1aa2],fg(H,t)=13[1aa2][fafbfc]T=13[fa+afb+a2fc].(7)(dqoABo)1866:fg(H,t)=12[f1(t)+jf2(t)],,jejP2.4[2][7],L3,L3fg(H,t)=13[fa+afb+a2fc],(8)(120)(1)Zfg(H,t)=f1,120(2)f2=f31=13[fa+a2fb+afc]Zf0=13[fa+fb+fc],f1f2f0=131aa21a2a111fafbfc,fabc=Pabc120f120,,Pabc120=13111a2a1aa2Z(9)dqo,ABoZA,2Z,H=H0+t0Xddt,Xd,dqofg(dqo)(H,t)=fg(H,t)ejHd=fg(H,t)ejHAe-jH=fg(abc)(H,t)e-jH,(10)2dqoABo12(fd+jfq)=13[fa+afb+a2fc]e-jH,f0=13[fa+fb+fc],fdfqf0=23cosHcos(H-120)cos(H+120)-sinH-sin(H-120)-sin(H+120)121212fafbfc,fabc=Pabcdqofdqo,286()1999Pabcdqo=23cosH-cosH12cos(H-120)-sin(H-120)12cos(H+120)-sin(H+120)12.(11)dqofbo,,:ff=fg(dqo)(H,t)fg(dqo)=fg(abc)(H,t)e-jH,2Zff=fg(dqo)(H,t)=13[fa+afb+a2fc]e-jH=13[fae-jH+fbe-j(H-120)+fce-j(H+120)]fb=f3f=13[faejH+fbej(H-120)+fcej(H+120)]Zf0=13[fa+fb+fc],fffbfc=13e-jHe-j(H-120)e-j(H+120)ejHej(H-120)-ej(H+120)111fafbfc,(12)fabc=Pabcfboffbo,Pabcfbo=13ejHe-jH1ej(H-120)e-j(H-120)1ej(H+120)e-j(H+120)1.(13)2.3Z53,,dqo,Zuds=Rsids+jXd7ds+pds7ds,udr=Rridr+j(Xd-Xr)7dr+p7dr,7ds=Lsids+Lmidr,7ds=Lsids+Lmidr;(14)Sem=2npIm(7d3sids).3dqo,Xd=pHddqo;Xr,np,Ls=L1R+(3ö2)Lm1,Lm=L2R+(3ö2)Lm1Z3Zdqo(dcqcocdsqsosdrqror),3866:Zdcqcoc,d(),MT[4],Z:,[4]Z6,u=Ri+p7=Ri+p{Li}=Rpi+5L5HHai,TL=-(J+Aõ+k)+12npiT5L5i.(15)Sem=12iT5L5i=12npiT5L5Hi,(16)(16),,HZ5L5H,,T=5L5H[8].Sem=12npiTTi.(17),,u=Ri+p7+F7,TL=-(J+Aõ+k)+12np(iT)35L5Hi.(18)(18),F=C-15C5t.Sem=12np(iT)35L5Hi.(19):,,Z,:Sem=12np(iT)35L5Hi=12np(iT)35L5Hi,Sem=12np(iT)3Ti=12np(iT)3Ti,(20)(20),T=5L5H=CT3TC.F7=C-15C5H=LiHa([9]),Z,,[8]486()1999GZ,,G1=5L5H+C-15C5H+L,G2=C-15L5H+C+C-1L5C5H.(21)Z,:G=T,G=T+C-1L5C5H.(22)GT,,,ZC(abcdqo,abcfbo),Z,(),u=Ri+F7+p7,TL=-(J+Aõ+k)+12np(iT)35L5Hi+np(iT)3CT35C5HLi.(23)Sem=12np(iT)35L5Hi+np(iT)3CT35C5HLi.(24):Z:(1),(L=),Sem=np(iT)3Gi=np(iT)3CT35C5HLi,(abcfbo)Z,Sem=np(iT)3Gi(abcfbo)Z(2)(C=),Sem=12np(iT)3Gi=12np(iT)3CT35L5HCi,(abc120);Sem=12npiTGi(abcABo)Z(3),Sem=12np(iT)3Ti=12npiTTiZ,(1)G=Tö2;(2)G=T,Z7(1),2(25866:),Z(2)();,Z(3),Z(4),F7=C-15C5HLiHaZ,,Z(),,Z:[1],.[M].:,1988.[2].PARK[J].,1989,12:205216.[3]NN()..[M].:,1980.[4].[M].:,1988.[5]LeeRJ,PillayD,HarleyRG.Referenceframeforthesimulationofinductionmotor[J].ElectPowerSysResearch,1984,(8):233242.[6]DianaG,HarleyRG.Relationshipbetweentherealandcomplexformofthemathematicalmodelforsym2metricinductionmachinery[J].ElectPowerSysResearch,1985,(9):232242.[7]SpathH()..[M].:,1982.[8]DC,HH().L[M].:,1964.[9].[J].,1985,8:4043.Power-invariancecoordinatetransformationsystemingeneralelectricalmachinetheoryLIUJin2bo,CHENYong2xiao(Dept.ofElectronicEngineering,ZhejiangUniv.,Hangzhou310027,China)Abstract:Onthebasisofmatrixtheoryinengineeringandvectoranalysistheory,thispapermakesasystemicinvestigationonpower2invariancecoordinatetransformationsystem,analyzesanddiscussessomeproblemsexistedinitsapplications,andobtainsmanyvaluableconclusions.Keywords:generalelectricmachinetheory;coordinatetransformation;powerinvariance(:)686()1999