TechnicalTrainingAdlsongSMPSTopologiesTheBuckConverterBuckBuckConverterStepDownVoltageRegulatorBuckState1:Sison,theinductorcurrentriseslinearly:oinLVVdtdiL−=SoinpkLfDVVI)(−=∆State2:Sisoff,theinductorcurrentdecreaseslinearly:oLVdtdiL=−SopkLfDVI)1(−=∆VoltsSecondBalance:Vo=DVin,D=Ton/TVin⋅Iin=Vo⋅Io,Iin=IL=Io/DBuckBuckCCMDCMBuckThevoltagerippleofoutputcapacitor:iL>Io,Coutischarged1)Integralduringtheperiod2228)1(11SoutfoTonTonToffTonTonCCofCLVDdtiCdtiCU−=+=∆∫∫+2)Thechargeduringtheperiod28)1(2221SoutfooutoLpkfCLVDCQUTIQ−=∆=∆∆=∆sTakeESRintoAccount:SfoLpkofLESRVDIESRU•−=∆•=∆)1(BuckCriticalconditionbetweenDCMandCCMSfoinLofLDVVII2)(21max−==PowerBalanceDCMSfoinLofLDVVII2)(21max−=
VinmaxIDmax>Io+∆I/2Rectifier:VRRM>VinmaxIF(AV)>Io(1-D)fS=1/TSD=Ton/TSVo=DVin2TheBoostConverterBoostBoostConverterStepUpVoltageRegulatorBoostState1:Sison,theinductorcurrentriseslinearly:inLVdtdiL=SinpkLfDVI=∆State2:Sisoff,theinductorcurrentdecreaseslinearly:oinLVVdtdiL−=−SinopkLfDVVI)1)((−−=∆VoltsSecondBalance:Vo=Vin/(1-D),D=Ton/TVin⋅Iin=Vo⋅Io,Iin=Io(1-D)BoostBoostCCMDCMBoostThevoltagerippleofoutputcapacitor:iD>Io,Coutischarged1)IntegralduringtheperiodSoutoTonoofCDIdtiCU==∆∫012)ThechargeduringtheperiodSoutooutosofCDICQUTDIQ=∆=∆=∆TakeESRintoAccount:SfinLpkofLESRDVIESRU•=∆•=∆BoostCriticalconditionbetweenDCMandCCMSfinLinfLDVII221max==PowerBalanceDCMSfinLinfLDVII221max=VoIDmax>Io/(1-D)+∆I/2Rectifier:VRRM>VoIF(AV)>IofS=1/TSD=Ton/TSVo=Vin/(1-D)3TheBuck-BoostConverterBuck-BoostBuck-BoostConverterStepdown-upVoltageRegulatorBuck-BoostState1:Sison,theinductorcurrentriseslinearly:inLVdtdiL=SinpkLfDVI=∆State2:Sisoff,theinductorcurrentdecreaseslinearly:oLVdtdiL=−SopkLfDVI)1(−=∆VoltsSecondBalance:Vo=VinD/(1-D),D=Ton/TVin⋅Iin=Vo⋅Io,Iin=Io(1-D)/DBuck-BoostBuck-BoostCCMDCMBuck-BoostCriticalconditionbetweenDCMandCCMSfinLinfLDVII221max==DCMoinSSoffLoVVLfDTTII22max221==')1('DDVVTDTVDVTDTinoSSoinSoff=−<==SfinLinfLDVII221max=Vinmax+VoIDmax>Io/(1-D)+∆I/2Rectifier...
