AssistantProf.ZhifangYangChongqingUniversityGeneralLinearizationforPowerFlowModelandItsApplicationinOptimization12WenyuanLiKaiguiXieDean:WenyuanLi(IEEELifeFellow)ViceDean:KaiguiXie,JuanYuMember:WeiYan,YuanZhao,ZhifangYang,XiaZhao,BoHu,ZhouyangRen,JunjieTangResearchInterestsonPower&EnergySystems•ReliabilityAssessmentandOptimization•ProbabilisticPlanning•BigDataandArtificialIntelligenceTechnology•AssessmentandDispatchofResilienceandFlexibility•AssetManagementContents301ResearchBackground020304LinearizationofPowerFlowModelLinearizedOPFMethodSignificanceandProspectOPFisanimportanalyticaltoolinpowersystemanalysis4PowersystemplanningOptimalvoltagecontrolPowergenerationplanOPFisthe"intersection"oftheoptimaloperationofpowersystems,andisthekeytoimprovingtheefficiencyofpowersystemoperation.ElectricchemicalOPFAirConditioningCoolingHeatingEnergyStoragePowerflowequationsreflectsthekeyfeatureofOPF52(cos)sinijiijijijijijijPvvvgvvb=−−2(cos)sinijiijijijijijijQvvvbvvg=−−−➢Basicpowerflowequations(polarcoordinate)✓Originsfromtheprincipleofthepowercircuits(Ohm’slaw)✓Nonlinearfunctions.Statevariablesarehighlycoupled➢Powerflowequationsdeterminesthecomplexityofthepowersystemoperation✓Powerflowequationsarethebasiclawinpowersystemanalysis✓PowerflowequationsembodiesthenonlinearityofthepowersystemoperationPowerflowequationshavebeenstudiedforhalfacentury,whydotheystillneedfurtherinvestigation?Motivationforthelinearizationofpowerflowequations62(cos)sinijiijijijijijijPvvvgvvb=−−2(cos)sinijiijijijijijijQvvvbvvg=−−−Powerflowmodelisnonlinear2(cos)sinijiijijijijijijPvvvgvvb=−−2(cos)sinijiijijijijijijQvvvbvvg=−−−OPFisnonconvexMinimizef(P,Q)s.t.ConvergenceandglobaloptimalitycannotbeguaranteedConvexrelaxationLinearapproximationChangepowerflowequationfromequalitytoinequalityLinearizethepowerflowequationMarketclearing,marketpricing,andscheduling?ConvexrelaxationfortheOPF7➢Certainconstraintsarerelaxedtoguaranteetheconvexformulation•SOCPrelaxationintro...