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1、ACVoltageandCurrentSensorlessControlofThree-PhasePWMRectifiersDong-ChoonLee,Member,IEEE,andDae-SikLim1THREE-PHASEPWMRECTIFIERSASystemModelingFig.1showsthepowercircuitofthethree-phasePWMrectifier.Thevoltageequationsaregivenbyeaebec00、laR+pL0lb+V/>0R+pLylc__K-_'R+pL=0（1）0Fig.1・Three-phasePWMre
2、ctifierwithoutac・sidesensors・where,andarethesourcevoltage,thelinecurrent,andtherectifierinputvoltage,respectivelyandaretheinputresistanceandtheinputinductance,respectively.Whenthepeaklinevoltage,angularfrequency,andinitialphaseanglearegiven,assumingabalancedthree-phasesystem,thesourcephasevo
3、ltageisexpressedasEcos&2COS（0-—7U）2COS（&+§；T）WhereAtransformationmatrixbasedontheestimatedphaseangle,whichtransformsthree-phasevariablesintoasynchronousd-qreferenceframe,iscos0Msin如COS(&M-j7T)COS(&M+%龙)sin(&M+#龙)sin(0w+寺龙)Transforming(1)intothe一referenceframeusing(4)-叫L、R+p厶丿%JedcI%L+wherep
4、isadifferentialoperatorand.(oM-0MExpressing(5)inavectornotatione=Ri+coMLJi+pLi+vwhere,e=J■I=5v=%J=<0-rSdc_Jdc_J0丿Takingatransformationof(2)byusing(4)Ecos△&CEsinWhere△&=⑷⑸⑹(7)⑻⑼Expressing(6)and(8)inadiscretedomain,byapproximatingthederivativetermin(6)byaforwarddifference[9],respectively,e(k-1
5、)=Ri(k-1)4-轴LJi(k一1)+细Qt•伙_1)]+啾j)T(10)e(k-l)=£cosA&伙一1)—Esin△&伙一1)(11)WhereTisthesamplingperiod.Fig.2.Overallcontrolblockdiagram.BSystemControlThePIcontrollersareusedtoregulatethedeoutputvoltageandtheacinputcurrent.Fordecouplingcurrentcontrol,thecross-couplingtermsarecompensatedinafeedforwa
6、rd-typeandthesourcevoltageisalsocompensatedasadisturbance.Fortransientresponseswithoutovershoot,theanti-winduptechniqueisemployed[10].TheoverallcontrolblockdiagrameliminatingthesourcevoltageandlinecurrentsensorsisshowninFig.2.Theestimationalgorithmofsourcevoltagesandlinecurrentsisdescribedin
7、thefollowingsections.2PREDICTIVECURRENTESTIMATIONExpressing(5)inastate-spaceform,□x=Ax+BuThecurrentsofIa(k)andIc(k)cannotbecalculatedinstantlysincethecalculationtimeoftheDSPisrequired.Toeliminatethedelayeffect,astateobservercanbeused.Inaddition,the
