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1、..ACVoltageandCurrentSensorlessControlofThree-PhasePWMRectifiersDong-ChoonLee,Member,IEEE,andDae-SikLim1THREE-PHASEPWMRECTIFIERSASystemModelingFig.1showsthepowercircuitofthethree-phasePWMrectifier.Thevoltageequationsaregivenby(1)Fig.1.Three-phasePWMre
2、ctifierwithoutac-sidesensors.where,andarethesourcevoltage,thelinecurrent,andtherectifierinputvoltage,respectivelyandaretheinputresistanceandtheinputinductance,respectively.Whenthepeaklinevoltage,angularfrequency,andinitialphaseanglearegiven,assumingab
3、alancedthree-phasesystem,thesourcephasevoltageisexpressedas(2)Where(3)Atransformationmatrixbasedontheestimatedphaseangle,whichtransformsthree-phasevariablesintoasynchronousd–qreferenceframe,is...(4)Transforming(1)intothe–referenceframeusing(4)(5)where
4、pisadifferentialoperatorand.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)WhereTisthes
5、amplingperiod....Fig.2.Overallcontrolblockdiagram.BSystemControlThePIcontrollersareusedtoregulatethedcoutputvoltageandtheacinputcurrent.Fordecouplingcurrentcontrol,thecross-couplingtermsarecompensatedinafeedforward-typeandthesourcevoltageisalsocompens
6、atedasadisturbance.Fortransientresponseswithoutovershoot,theanti-winduptechniqueisemployed[10].TheoverallcontrolblockdiagrameliminatingthesourcevoltageandlinecurrentsensorsisshowninFig.2.Theestimationalgorithmofsourcevoltagesandlinecurrentsisdescribed
7、inthefollowingsections.2PREDICTIVECURRENTESTIMATIONThecurrentsofandcannotbecalculatedinstantlysincethecalculationtimeoftheDSPisrequired.Toeliminatethedelayeffect,astateobservercanbeused.Inaddition,thestateobserverprovidesthefilteringeffectsfortheestim
8、atedvariable.Expressing(5)inastate-spaceform,(12)(13)where,,,,Andyistheoutput....Transforming(12)and(13)intoadiscretedomain,respectively,(14)(15)where,,Then,theobserverequationaddinganerrorcorrectiontermtoisgivenby(16)WhereKistheobservergainma
