连续潮流及其在电力系统静态稳定分析中的应用-赵晋泉

922500AutotamionofEleetriePowerSystemsVol.92No.11Jnue10,2005,(,00084):。、、。,、、。,。:、:;;;;:TM712;TM744020,,。2003814。。2090(CPF—eontinuationpowerflow),。(EM)S。、、、。,。1(continuationmethod,)。:;f。:0=g(x,y,)0=f(x,y,)(2)(2)1,。,:(SNBP)、(LIBP—limitindueedbifureationpoint)、(HBP)(SIBP)。:(3)JJxjJJnyJJxg(x,,)0=f(x,y,)(1):x,;y,;;g[3〕4,Jdy。:①O;②,③;④、。[4,5〕,[3〕。。:f(x,)=0(4)。。:20040928;:20041022。2005,29(11)22.1〔、、()。:d,,()“d.`,。+△d,`id(5)Qd,`()Qd,`,。+△Qd,、id(6),,()g,j,。+△g,,jg(7):d,`,。,Qd,、,。,P:,,,。i、j;△d.:,△Qd.、,△g,,i、j;dg。,:△g,,△d,`(8)je。:i〔。d,,:f(x,)=f(x)=0(9):D()。2.2[1。],。:Y()=(1)Y(10)Y。()=(1)Y。(11):YY。1/2。0,;1,。(9)。3:①,;②`,mB(0、,am1);③,。,:。,i,:{pg,“’pg,、,。““,1Qg,`,m(“,(1“,Qg,f,m〔Qg,`,mi。()=(1)Qg,、,min,。(13):g,`,。i;Qg,。,max,。Qg,、,mln,。、。O,;1,。,,;,。2.4「12〕。[13」,()、。:f(,V)=0(1+)QQg,V,Vg)=0(14):e;VQ;vgv;V。,,,V/Q。,v:v。,3。,[12〕(OP)F,,。iii,max、,max11(12)2.3〔11〕「10〕,,、。3(homotopy)2。,[6]。,[7~12〕。、、4。,、,。··,3.1,,。()()。,,。,。,,,,。:「「x。]+「“`1「x0]+。「`](15)LJL。」L△J。JLJ:x。。;;;。。3.2xl1。。3.3,。,n+1n+1,。、。:e(x,,△s)=0(16):△:,。、、。3.3.1:x*△s=O(17)k:x*:}。l=max{Jl:l,…,{。l}(18),,:,…,,x,,x:,…,x,。`k,。3.3.2:x。。。,:(xx。)(xx。)+(1)(。)2~△s,(20):01。[1],。,。x,,。3.3.3l0[〕:(xx。)T+(。)=△:(21):。,,:(xx。)T+(1)(。)=△:(22),。3.3.48[]:(x。△x)T△x。)。(23):△x△。3,△:。,:(xx。)T△x+(。)△△xT△x+△(24)(15):x(x。)T+(。)△xT△x+△2J:(xx。)T(xx。)+(。)2=△s(19)(25),()。,△:。。3.3.5ls[,`[13〕1,。,?:Pl(V,,)(1+△s)P。,。s,=0(26):Vax;。,105,;1(V,O,。2005,29(11):Q:,。(v,,)(1+△s)Q:,*,。=0(27):Q:,*。vk;k。VQ,,。,〔14],V。,。3.4〔``7〕。。,.,()。。[15」,2,,。,`}dy、/}`,:=a:+c(28):a`。2,,,,)2,,2),。。。,,。。[16〕。「15),V2,2()。,,。。,(branehswitehing)。4.22[,2,〕。,l2[〕。,O,。f,。z1[。。,〔`〕:r(x.,,)=0(29),〔’〕::(x,l,,,)r(xj,,)0(30):xj,,,x,,,2。,,:r(x,)max{Re(,),Re(2),…,Re(,)}(31):,,。,…,,(x,,。,::(x,)=detf,(x,)(32),,,,:JTX,=dS(33)44.1pV[,,`,20〕V。、、。,。。,,,。V。}r(x.,)l。,x(,,);}:(x.,.)}。,。,V,(x,,,)。,,。4.3ATCz2[〕ATC,。、、、。[23〕。55.126j··,,,,,。,。[24〕,。AlveS[25]。BX、XB((27))BX3。「26]。5.2。Galiana。(),。:「f“,“,“,]F(,,“’…f(,“’v…”v`v1」(35):=〔xT,vT]TRZ”+’;2;v。,。2n+12n+2,,()。:F(,)0e(、,△s)=o(36){m`n,“,。1”’t’x,“’LnX,“jU(34)[32],Zn+2,。5.433[35],。[33]。[34]。,SVCFACTS,。`:“;。(·);h(·),。:①OPF,、;②OPF,OPF,OPF;③,,〕;④,。OPF:OPFKKT(),「29];,OPF,[30]。5.3al[·32〕〔`,3`〕。,:6。,。:1),。,,。。2),,,。3),。〕。,,,,。。2005,29(11)964)、(),,:,。,[1〕。5)。,(branehjumping)、[`〕。6)「2]),DAE((2))。。7)。、。7。、、。,、、。,。,。[l〕SEYDELR.PraetiealBifureationandStabilityAnalysisFromEquilibriumtoChaos.Znded.NewYork:SpringerVerlag,1994.〔2〕FENGZH,AJJARAPUV,LONGB.Identifieat,onofvoltageCollapseThroughDireetEquilibriumTraeing.IEEETransonPowerSystems,2000,15(1):342349.「3〕BOMPARDE,CARPENETOE,CHICCOGetal.ADynamieInterpretationoftheLoadflowJaeobianSingularityforVoltageStabilityAnalysis.EleetriealpowerEnergySystems,1996,18(6):385395.[4〕SAUERPW,PAIMA.PowerSystemSteadyStateStab,lityandtheLoadFlowJaeoban.IEEETransonPowerSystems,1990,5(4):13331344.5」,,,..,2999,19(10):5558,65.ZHANGYuanpeng,ZHOUShuangxi,WANGLifengetal.TheTheoretiealFoundationsofStatieVoltagestabilityAnalysis.Model.ProeeedingsoftheCSEE,1999,19(10):5558,63.〔6〕IBAK,SUZUKIH,EGAWAMetal.CaleulationofCritiealLoadingConditionwithNoseCurveUsingHomotopyContnuationMethod.IEEETransonPowerSystems,1991,6(2):584593.[7〕AJJARUPUV,CHRISTYC.TheContinuationPowerFlow:AToolforSteadyStateVoltageStabilityAnalysis.IEEETransonPowerSystems,1992,7(l):416423.[s〕CANxZARESCA,ALvARADOFL.PointofCollapseandContinuationMethodsforLargeAC/DCSystems.IEEETransonPowerSystems,1993,8(1):18.[9〕CHIANGHD,FLUECKAJ,SHAHK5etal.CPFLOW:APraetealToolforTraeingPowerSystemSteadystateStationaryBehaviorDuetoLoadandGenerationVariations.IEEETransonPowerSystems,1995,10(2):623634.[10]FLUECKAJ,DONDETIJR.ANewContlnuat,onPowerFlowToolforInvestigatingtheNonlinearEffeetsofTransmissionBranehParameterVariations.IEEETransonPowerSystems,2000,15(l):223227.「11〕,,..,2。。4,28(14):4549.ZHAOJinquan,CHIANGHsiaodong,ZHANGBoming.ANewConrlngeneyParameterizationContinuationPowerFlowModelforSteadyStabilityAnalys5.AutomationofEleetriePowerSystems,2004,28(14):4549.〔12〕MALANGEFCV,ALVESDA,DASILVALCPetal.RealPowerLossesReduetionandLoadingMarginImProvementviaContinuationMethod.IEEETransonPowerSystems,2004,19(3):16901692.[13〕ALVESDA,DASILVALCP,CASTROCAetal.ContinuationMethodParameterizationbyPowerLosses.In:ProeeedingsofIEEEPESSummerMeeting,Vol2.Piseataway(NJ):IEEE,2000.11231128.[14〕ALVESDA,DASILVALCP,CASTROCAetal.NewParameterizatonSehemesfortheContinuationLoadFlowMethod.In:ProeeedingsofInternatlonalConfereneeonEleetrieUtilityDeregulationandRestrueturingandPowerTeehnologies.Piseataway(NJ):IEEE,2000.179184.[15〕DESOUZAACZ,CANIZARESCA,QUINTANAVH.NewTeehniquestoSpeedupVoltageCollapseComputationsUsingTangentVeetors.IEEETransonPowerSystems,1997,12(3):13801387.〔16〕CHENK,HUSSEMA,BRADLEYMEetal.APerformaneeindexGuidedContinuationMethodforFastComputationofSaddlenodeBifureationinPowerSystems.IEEETransonPowerSystems,2003,18(2):753760.〔17」,.,2004,19(2):5863.wANGChengshan,wEIWei.AnImprovedContnuationMethodwithControlledStepSize.TransaetionsofChnaEleetroteehniealSoelety,2004,19(2):5863.[18〕,.V.,1999,23(4).ZHuDakang,CHENHaozhong.AModlfiedContinuationPowerFlowMethodforComputingPVCur