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1,1,1,2(1.,510640;2.,510520):,,(digitalsignalprocessing,DSP),,Broyden,:;;;;:TM711:A:10038930(2010)03012306NewBack/ForwardSweepMethodforLoadFlowComputationinDistributionSystemsYANGHui1,WENFushuan1,LIUYongqiang1,XUPeng2(1.SchoolofElectricalEngineering,SouthChinaUniversityofTechnology,Guangzhou510640,China;2.GuangdongElectricitySchool,Guangzhou510520,China)Abstract:Theback/forwardsweepmethodisspeciallydevelopedforloadflowcomputationindistributionsystems.Itsconvergenceandcomputationalefficiencyareusuallygood,butthereisstillsomespacetoimprove.Giventhisbackground,aneffortismadetodevelopanewback/forwardsweepmethodaccommodatingarbitrarynumberingofnodes.Intheproposedapproach,analgorithmsimilartotheparallelstreamtechniqueindigitalsignalprocessing(DSP)andtheinterruptionwaitingtechniqueinsinglechipmicrocomputersisdevelopedandnamedastheparallelandinterruptionwaitingmethod.Acasestudyisservedfordemonstratingtheconvergenceandcomputationalefficiencyoftheproposedmethod,andforcomparisonswithseveralexistingmethodssuchastheconventionalNewtonRaphsonmethod,twomodifiedNewtonmethodsandtheexistinghierarchicalback/forwardsweepmethod.Itisshownbysimulationresultsthattheproposedmethodissuperiortotheothersintermsoftheconvergenceandcomputationalefficiency.Keywords:distributionsystem;back/forwardsweepmethod;loadflowcalculation;nodenumbering;Newtonmethod,,,,,1;,,,,,,FDLF(fastdecoupledloadflow),PQ,,[1,2]22320106ProceedingsoftheCSUEPSAVol.22No.3Jun.2010:20090604;:20090707:(2008BAA13B10),,[3~6],,,[7~10],,,,,,0,,(DSP):,,(2),,(),,,,11.111Fig.1Illustrativeexample:(Vb)(Vv)(Vl)(Vn)1,:,10,110,110:,10,110(),110:EN,E,N,,,N0,,,;(1,),111Tab.1Looplinktableoftheterminalnodes543210000007610000000098432100000108432100000:!∀,!∀0:(0),,NNfork0Nfork,11Nfork2,22!∀,!∀,1.23:32,Nnode5#124#22(,Nnode),2Tab.2Linktableofdirectednodes01012623034045850067070089109001000,,(Nnode+1)3(Nnode+1);,()();NnodePQ,,0()3Tab.3Anexampleofthedataformat(p.u.)(p.u.)(p.u.)/(p.u.)(p.u.)/(∃)1010.000410.0085310.335280.167642120.005230.0074220.214180.107093230.004150.0065530.135650.067824340.004780.0090640.195260.097635450.003410.0072450.123740.061876160.004650.0089960.164330.082167670.004110.0053170.241690.120858480.004470.0065880.194770.097389890.003260.0057890.122510.06125108100.003540.00499100.20000001.050000.000001.31.3.1终端节点回路链表的实现思想,,,V1,0,,1(),VlVlVl,,,,Vl,,,Vl,,,VlVl,1:(14),Vl;5(,),5,,4,,4Vl;4,,3,,4Vl;,Vl3,Vl11.3.2有向节点连接链表的实现思想,:Vn,00#125#3:,0,Vn,0,Vn,0,1,2,3,%,,N,Vn1:0,1Vn0,Vn1,2Vn1,6Vn;,1,Vn,21.3.3回代过程22Fig.2Principleoftheback/forwardmethodDSP,(2,T),;,Vb,1,T,T,1,;,,1Vb2T,T,1;1,,1,T,,1Vb1,Ploss,ij=rij(Psumj+PLj)2+(Qsumj+QLj)2E2j+F2j(1)Qloss,ij=xij(Psumj+PLj)2+(Qsumj+QLj)2E2j+F2j(2)Pi=Psumj+Ploss,ij+PLj(3)Qi=Qsumj+Qloss,ij+QLj(4):PiQiij;PsumjQsumjj;PLjQLjj;Ploss,ijQloss,ij;EjFjj1.3.4前推过程:Vv,1;,2,Vn,;1,,,,;,Vv1,,Vn,Vv1,,EiEjEj=Ei-rij(PiEi+QiFi)+xij(QiEi-PiFi)E2i+F2i(5)Fj=Fi-xij(PiEi+QiFi)-rij(QiEi-PiFi)E2i+F2i(6):PiQiij;EiFii#126#222:(1);(2);(3),(1,0);(4);(5),,(4),(105)3310kV,[11]126,125PQ1105Intel(R)Celeron(R)2.53GHzCPU,3,0.1560s3Fig.3Singlelinediagramofthesystem,,,:(1)4,0.8750s;(2)[11]Broyden[12],2,0.5940s0.4060s;(3)[10,13],3,0.4220sIntel(R)Celeron(R)2.53GHzMATLAB,Broyden4,,:,;,,,,,,DSP,,,,#127#3:,:[1],,,(ZhangXuesong,LiuZhuo,YuErkeng,etal).(Acomparisononpowerflowcalculationmethodsfordistributionnetwork)[J].(PowerSystemTechnology),1998,22(4):45-49.[2]HaleyPH,AyresM.Superdecoupledloadflowwithdistributionslackbus[J].IEEETransonPowerApparatusandSystems,1985,104(1):104-113.[3]BaranME,WuFF.Optimalsizingofcapacitorsplacedonradialdistributionsystems[J].IEEETransonPowerDelivery,1989,4(1):735-743.[4],,(LiuGuowei,SunQiuye,ZhangHuaguang).(Unconstantpowerloadmodelflowcalculationindistributionsystem)[J].(ProceedingsoftheCSEE),2008,28(16):22-27.[5],(GuXiufang,GuanChangyu).(Analysisandstudyontopologyforpowerflowofdistributionnetwork)[J].:(JournalofNorthChinaElectricPowerUniversity:NaturalScienceEdition),2008,35(2):47-50.[6],(WangDan,ChangBaoli).(Anovelmethodofnodenumberingschemeondistributionsystempowerflowcalculation)[J].(ProceedingsoftheCSUEPSA),2003,15(1):22-26.[7],,,(YangYisong,WangKuan,ZhouLing,etal).(Anewmethodforloadflowcalculationindistributionsystems)[J].(Relay),2006,34(13):46-49,76.[8],,,(YanWei,LiuFang,WangGuanjie,etal).(Layerbylayerback/forwardsweepmethodforradialdistributionloadflow)[J].(ProceedingsoftheCSEE),2003,23(8):76-80.[9],,(LiZhimin,LiWeixing,LiuYingchun).(Faulttraversealgorithmofradialdistributionsystemreliabilityevaluation)[J].(AutomationofElectricPowerSystems),2002,26(2):53-56.[10],(LiLi,HuaDong).(Nodenumberingplanfordistributionnetworktopologyanditsflowcalculation)[J].(EastChinaElectricPower),2005,33(4):17-20.[11]YangHui,WenFushuan,WangLiping,etal.Newtondownhillalgorithmfordistributionsystempowerflowanalysis[C]&the2ndIEEEInternationalPowerandEnergyConference,JohorBaharu,Malaysia:2008.[12]YangHui,WenFushuan,WangLiping.NewtonRaphsononpowerflowalgorithmandBroydenmethodindistributionsystem[C]&the2ndIEEEInternationalPowerandEnergyConference,JohorBaharu,Malaysia:2008.[13],,,(Za