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1、644IEEETRANSACTIONSONCIRCUITSANDSYSTEMSÐI:FUNDAMENTALTHEORYANDAPPLICATIONS,VOL.45,NO.6,JUNE1998SignalFlowGraphinLoopGainAnalysisofDC±DCPWMCCMSwitchingConvertersWing-HungKi,Member,IEEEAbstractÐAsystematicandunifiedmethodusingthesignalandleading-edgemodulatedconverters,whichweres
2、hownflowgraph(SFG)techniqueispresentedinanalyzingdc±dctohavedifferentdynamics[8].Second,in[3]systematicpulsewidthmodulated(PWM)switchmodepowerconvertersapplicationofmatrixcomputationhasbeenadoptedandin(SMPC's)operatinginthecontinuousconductionmode(CCM).doingso,loopgains,input,a
3、ndoutputimpedancesarewrittenLoopgainsforsingleandmultiloopsystemsarereviewed.TheSFGoftheconverteristhengeneratedfromtheperturbeddownincompactmatrixnotation.In[3],(3)and(4)ofthisstate-spaceaveraged(SSA)equations,andthecharacteristicarticlewereusedtocomputetheloopgainoftheconver
4、ter,polynomialofthesystemiscomputed.Bygroupingtermsas-withthestatevectorin(4)regardedastheinputvectorsociatedwiththegainoftheerroramplifierasthenumerator,totheloop.Thisassignmentisquitearbitraryandisnotauniquedefinitionofsystemloopgainisintroduced,andloca-tionsforbreakingtheloop
5、arediscussed.Systemloopgainsforcompatiblewiththedefinitionofloopgainifsignalflowbothvoltage-andcurrent-programmingconverterswitheithergraph(SFG)analysis[10]istobeused.Moreover,itshowsitstrailing-orleading-edgemodulationarederived.Itisshownthatweaknesswhenacurrent-programmingconv
6、erterisanalyzed,foraSMPC,theloopgainmeasuredbyananaloginjectionwithpolelocationsdifferentfromthoseobtainedin[4].Third,methodisthesystemloopgain,whichdeterminesthestabilitytoevaluatethevalidityofananalysis,loopgainmeasurementoftheconverter.shouldbeperformed.Inthisaspect,bothana
7、log[11]andIndexTermsÐLoopgainanalysis,signalflowgraphanalysis,digital[12]injectionmethodsweresuggested.Forvoltage-switchmodepowerconverters.programmingconverters,theloopgainsmeasuredbybothtechniquesarecompatible,yetthoseofcurrent-programmingI.INTRODUCTIONconvertersdiffer[12].Th
8、isdiscrepancyhastoberesolved,butsofar,noattempthasbeenmade.TA