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1、ReviewoftheReviewoftheCurrent-Mode-ControlModelingDFdCLDr.FredC.LeeSep.18th,2009CPESProprietaryⅤ-1SantaClara,CACCMvs.DCMLfcpCfRaGenerallyknownasaGenerallyknownasaGenerallyknownasa2stordersystem1stordersystemSep.18th,2009CPESProprietaryⅤ-2SantaClara,CASmall-SignalAverageModelThree-Te
2、rminalSwitchModelLfLfaccpVVggCfRCfRpaThree-TerminalSwitchModelinCCMVapdˆDa+cIdˆ1DcpSep.18th,2009CPESProprietaryⅤ-3SantaClara,CAThree-TerminalSwitchModelInDCMˆi=vˆg+kdˆaaciiˆi=gvˆ+kdˆ−gvˆpfac00cpWhereg=Ia2Iaiki=VacDI2I2Ipppg=gf=k=00VVacDcpSep.18th,2009CPESProprietaryⅤ-4SantaClara,CAB
3、uckConverterControl-to-OutputTransferFunctionvˆ1+ssoz1=Hd()()dˆ1+ssp11+ssp2Where112−MsS==p1p1aRC1−M12a1⎛M⎞sp2S=p2=2Fs⎜⎟>2Fsa2⎝D⎠1s=z1rCwhereCff22I()ok=I+I=dap2IrRDDH=odDr+R+rr=R(1−M)LfSep.18th,2009CPESProprietaryⅤ-5SantaClara,CASecondOrderPolesforCCMandDCMImS-Plane1jCCMLCReDCM1−jLCD
4、oublepolesexhibitabruptchangefromCCMtoDCMSep.18th,2009CPESProprietaryⅤ-6SantaClara,CACurrent-ModeControl¾PeakCurrentPeakCurrent--ModeControlModeControlLSep.18th,2009CPESProprietaryⅤ-7SantaClara,CATheConceptof“CurrentSource”*¾ThecurrentloopistreatedasoneentitytomodelControlControl
5、--toto--outputTransferFunctionoutputTransferFunctionD=0.42©“CurrentSource”Modelst©SimplisSimplisSimulationSimulation≈MeasurementA1ordersystemThisconcepttitistoosimplltetoprediditctsubharmonicoscillilltiations*S.P.Hsu,R.D.Middlebrook,etc.“Modelingandanalysisofswitchingdc-to-dcconvert
6、ers…,”PESC’79Sep.18th,2009CPESProprietaryⅤ-8SantaClara,CADiscrete-timeAnalysisforPeakCurrent-ModeControl¾Thecurrentloopistreatedasoneentitytomodel1.NaturalResponse2.ForcedResponseiˆ(z)1+αzLH(z)=)=v(z)Rz+αciwhere,α=(s−s)/(s+s)feneAssumption:inductorcurrentslopesareconstantCurrentloop
7、instabilitycanbeshowninthismodelSep.18th,2009CPESProprietaryⅤ-9SantaClara,CAR.Ridley’sModelforPeakCurrent-ModeControlControltoControltovvoTransferFunctionVo(s)Fs/2Vg(s)PowerStageModeliL(s)D=0.45d(s)in(dB)aD=03D=0.3GRiD=0.1kfFmkrHe(s)+-++(degree)Vc(s)PhaseFrequency(Hz)©R.Ridley’smode
8、lisgoodforconstantf