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1、ACVoltageandCurrentSensorlessControlofThree-PhasePWMRectifiersDong-ChoonLee,Member,IEEE,andDae-SikLim1THREE-PHASEPWMRECTIFIERSASystemModelingFig.1showsthepowercircuitofthethree-phasePWMrectifier.Thevoltageequationsaregivenby(1)Fig.1.Three-phasePWMrectifierwi
2、thoutac-sidesensors.where,andarethesourcevoltage,thelinecurrent,andtherectifierinputvoltage,respectivelyandaretheinputresistanceandtheinputinductance,respectively.Whenthepeaklinevoltage,angularfrequency,andinitialphaseanglearegiven,assumingabalancedthree-pha
3、sesystem,thesourcephasevoltageisexpressedas(2)Where(3)Atransformationmatrixbasedontheestimatedphaseangle,whichtransformsthree-phasevariablesintoasynchronousd–qreferenceframe,is17(4)Transforming(1)intothe–referenceframeusing(4)(5)wherepisadifferentialoperator
4、and.Expressing(5)inavectornotation(6)where,,,,(7)Takingatransformationof(2)byusing(4)(8)Where(9)Expressing(6)and(8)inadiscretedomain,byapproximatingthederivativetermin(6)byaforwarddifference[9],respectively,(10)(11)WhereTisthesamplingperiod.17Fig.2.Overallco
5、ntrolblockdiagram.BSystemControlThePIcontrollersareusedtoregulatethedcoutputvoltageandtheacinputcurrent.Fordecouplingcurrentcontrol,thecross-couplingtermsarecompensatedinafeedforward-typeandthesourcevoltageisalsocompensatedasadisturbance.Fortransientresponse
6、swithoutovershoot,theanti-winduptechniqueisemployed[10].TheoverallcontrolblockdiagrameliminatingthesourcevoltageandlinecurrentsensorsisshowninFig.2.Theestimationalgorithmofsourcevoltagesandlinecurrentsisdescribedinthefollowingsections.2PREDICTIVECURRENTESTIM
7、ATIONThecurrentsofandcannotbecalculatedinstantlysincethecalculationtimeoftheDSPisrequired.Toeliminatethedelayeffect,astateobservercanbeused.Inaddition,thestateobserverprovidesthefilteringeffectsfortheestimatedvariable.Expressing(5)inastate-spaceform,(12)(13)
8、where,,,17,Andyistheoutput.Transforming(12)and(13)intoadiscretedomain,respectively,(14)(15)where,,Then,theobserverequationaddinganerrorcorrectiontermtoisgivenby(16)WhereKistheobservergainmatrixa
