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1、Three-phaseoptimalharmonicpowerflowY.-Y.HongY.-T.ChenIndexingterms:Three-phasepowerflow,Losses,Harmonics,OptimisationThepowersystemisgenerallyunbalanced,especiallyAbstract:Anewthree-phaseoptimal-harmonic-thedistributionsysteminwhichharmonicpollutionispower-flow(TOHPF)methodisproposed.Iti
2、ssevere.Theimbalanceiscausedbytheuntransposeddesignedtominimisethethree-phasepowerlossestransmissionlines,unbalancedloads,electrifiedrail-andthetotalthree-phaseharmonicvoltageways,asymmetricalfaultsetc[l1,121.Inthispaper,distortionwhilesatisfyingthethree-phase-power-harmonics,animportant
3、butseldomnoticedimbalanceflowequations,three-phaseharmonic-power-factor,areaddressed.Inmuchharmonicresearch[4,5,flowequations,three-phasesecurityconstraints,7-101onlysingle-phaseanalyticapproachesarecon-andthethree-phaseharmonicstandardetc.Acerned.Althoughmultiphaseharmonic-analysistwo-l
4、evelalgorithmisusedtosolvetheproblem:approachesarepresentedin[6,131,thecontrollerset-themasterleveldeterminesthesettingsofthree-tingsarefixedandthefactoroffundamentalfrequencyphasecompensatorsandtaps;theslavelevelisignored.Inthispaper,theabovedisadvantagesareincludessubproblemswhichinvol
5、vecasesofovercome.Atwo-levelalgorithmbasedonthegeneral-fundamentalandharmonicfrequenciesisedBendersdecompositiontheory(GBDT)[14]isusedseparately.Thetestresultsfortwopowersystemstodevelopathree-phaseOPF,consideringthehar-showtheapplicabilityoftheproposedmethod.monicfactors.Thismethodiscal
6、ledthree-phaseopti-malharmonicpowerflow(TOHPF).Thethree-phasepowerlossesandthesquareofthree-phasetotalhar-monicdistortion(THD)aretheobjectivefunctions.1IntroductionTheequalityconstraintsincludethethree-phasepower-flowequationsandthethree-phaseharmonic-power-Theoptimal-power-flow(OPF)meth
7、odcanminimiseflow-equations.Theinequalityconstraintscoverthree-anobjectivefunction(e.g.,powerlosses,fuelcostetc)phasesecurityconstraintsandthethree-phasehar-whilesatisfyingthepower-flowequationsandsecurilymonicstandard.Theupperlevel,namelythemasterconstraints[1-31.Inmanye
