DC_DC变换器在恒功率负载下的能控性

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1、127ò19ÏnØA^Vol.27No.92010c9ControlTheory&ApplicationsSep.2010©©©ÙÙÙ???ÒÒÒ:1000−8152(2010)09−1273−04DC-DCCCCììì333ðððõõõÇÇÇKKK111eeeUUU555M,N,{k(,Çé&(ÓLÆ>f&Eó§Æ,þ°201804)Á:kðõÇK1DC-DCCì´5XÚ.±BoostCì~,©ïáÙXÚ.;§)n.I,II,III©OéAum'ìÏ!'ä!>a>6äY>

2、´ÿÀ.Ï>N>Ø´K,¤±©é²¡ÿÀÆ#(J±?,Ѳ¡5XÚÛU¿©7^—–O¼ê3?¿"þCÒ.âdy²IIÛU5.duII$=¥7²ã,XÚU.ïÄ{·^uBuckCìU5©Û.'c:DC-DCCì;ðõÇK1;XÚ;5XÚ;U5¥ã©aÒ:TP13,TM1©zI£è:AControllabilityofDC-DCconverterswithconstantpower-loadXUZhi-yu,XUWei-sheng,YUYou-ling,WUQi

3、-di(SchoolofElectronicsandInformationEngineering,TongjiUniversity,Shanghai201804,China)Abstract:TheDC-DCconverterwithaconstantpower-loadisaswitchednonlinearsystem.WestudytheBoostconverterbybuildingitsswitched-system-modelinthreeoperationmodes.ModeI,IIan

4、dIIIarethecircuittopologyintheswitch-onmode,theswitch-offmode,andthediscontinuouscurrentmode,respectively.Becausethecapacitorvoltagecannotbenegative,wemodifythelatestresultsoftheplanartopologytoobtainforthehalf-planaraffinenonlinearsystemsthenecessaryand

5、sufficientconditionsofglobalcontrollability:criterionfunctionchangesitssignoveranynonzerocontrolcurve.WethusfindthatModeIIisgloballycontrollable.SinceModeIIisaninevitableperiodintheoperation,thustheswitchedsystemiscontrollable.Thismethodologycanbeextended

6、toanalyzethecontrollabilityofBuckconverters,etc.Keywords:DC-DCconverter;constantpower-load;switchedsystem;affinenonlinearsystem;controllability1ÚÚÚóóó(Introduction)Ø.¼êL1.XðõÇK1(constantpowerload,CPL)FÃÊ9[1,2],CPLDC-DCC¤ïÄ9:[3,4],8ÿ9U5ùÄnدK.K15X

7、Ú5,w,5XÚ5Æ[5,6]Ø2·^,Äu{5K1bU5(Ø[7,8]½Ø2k.é'âØvJK[9],©A^²¡5XÚ#(J[10,11],±CPLBoostCì~,ïáXÚ.,&?ÙU5.2XXXÚÚÚ...(Switchedsystemmodel)CPLõÇðP,dBoostCì°Ä,KK1>ØvC,K1>6P/vC,¿éuCìÑÑà>6P/v[3,4].Xã1,m'ìCÏ,'ä,>a>6äY,XÚäkØÓ>´(,g½ÂI,II,III,L«µ(i

8、˙=fσ(i,v)+gσv,L1LC1gσ=I,II,III.(1)σσv˙C=f2(iL,vC)+g2vg,ã1CPLBoostCìÙ¥:iL,vC,vg©O>a>6,>N>Ø,>>Fig.1SwitchingmodesofBoostconvertersdrivingCPLÂvFÏ:2009−05−01;Â?UvFÏ:2009−12−31.Ä78:I[pEâïÄuÐ(“863”Oy)]Ï8(2006AA05Z211).1274nØA^127òL