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1、ACVoltageandCurrentSensorlessControlofThree-PhasePWMRectifiersDong-ChoonLee,Member,IEEE,andDae-SikLim1THREE-PHASEPWMRECTIFIERSASystemModelingFig.1showsthepowercircuitofthethree-phasePWMrectifier.Thevoltageequationsaregivenby(1)Fig.1.Three-phasePWMrectifierwithoutac-sidesensor
2、s.where,andarethesourcevoltage,thelinecurrent,andtherectifierinputvoltage,respectivelyandaretheinputresistanceandtheinputinductance,respectively.Whenthepeaklinevoltage,angularfrequency,andinitialphaseanglearegiven,assumingabalancedthree-phasesystem,thesourcephasevoltageisexpr
3、essedas(2)Where(3)Atransformationmatrixbasedontheestimatedphaseangle,whichtransformsthree-phasevariablesintoasynchronousd–qreferenceframe,is17(4)Transforming(1)intothe–referenceframeusing(4)(5)wherepisadifferentialoperatorand.Expressing(5)inavectornotation(6)where,,,,(7)Takin
4、gatransformationof(2)byusing(4)(8)Where(9)Expressing(6)and(8)inadiscretedomain,byapproximatingthederivativetermin(6)byaforwarddifference[9],respectively,(10)(11)WhereTisthesamplingperiod.17Fig.2.Overallcontrolblockdiagram.BSystemControlThePIcontrollersareusedtoregulatethedcou
5、tputvoltageandtheacinputcurrent.Fordecouplingcurrentcontrol,thecross-couplingtermsarecompensatedinafeedforward-typeandthesourcevoltageisalsocompensatedasadisturbance.Fortransientresponseswithoutovershoot,theanti-winduptechniqueisemployed[10].Theoverallcontrolblockdiagramelimi
6、natingthesourcevoltageandlinecurrentsensorsisshowninFig.2.Theestimationalgorithmofsourcevoltagesandlinecurrentsisdescribedinthefollowingsections.2PREDICTIVECURRENTESTIMATIONThecurrentsofandcannotbecalculatedinstantlysincethecalculationtimeoftheDSPisrequired.Toeliminatethedela
7、yeffect,astateobservercanbeused.Inaddition,thestateobserverprovidesthefilteringeffectsfortheestimatedvariable.Expressing(5)inastate-spaceform,(12)(13)where,,,17,Andyistheoutput.Transforming(12)and(13)intoadiscretedomain,respectively,(14)(15)where,,Then,theobserverequationaddi
8、nganerrorcorrectiontermtoisgivenby(16)WhereKistheobservergainmatrixa
