The Computational Testing of AC Optimal Power Flow Using the Current Voltage Formulations - Optimal Power Flow Paper 3

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1、OptimalPowerFlowPaper3StaffpaperbyRichardP.O’NeillAnyaCastilloMaryB.CainDecember2012TheviewspresentedarethepersonalviewsoftheauthorsandnottheFederalEnergyRegulatoryCommissionoranyofitsCommissioners.Page1TheComputationalTestingofACOptimalPowerFlowUsingtheCurrentVoltageFormulationsOpt

2、imalPowerFlowPaper3RichardPO’Neill,AnyaCastilloandMaryCainrichard.oneill@ferc.gov;anya.castillo@ferc.gov;mary.cain@ferc.govDecember2012AbstractandExecutiveSummarySolvingtheiterativelinearapproximationofthecurrentvoltageሺIVሻACOPFiscomparedtosolvingtheILIV‐ACOPFwithseveralnonlinearsol

3、vers.Ingeneral,thelinearapproximationapproachismorerobustandfasterthanseveralofthecommercialnonlinearsolvers.Forthenonlinearsolvers,thedefaultparametersareused.Theaccuracyofthenonlinearsolversishigherwhentheoptimalsolutionisfound.Onseveralstartingpoints,thenonlinearsolversfailedtoco

4、nvergeorcontainedpositiverelaxationvariablesabovethethresholdvalue.Wefindthattheflatstartissuperiortotheaverageoftherandomstarts.Theiterativelinearprogramapproximationismorerobustandconsistentacrossstartingpoints.Theiterativelinearprogramapproachfindsanearfeasiblenearoptimalinalmost

5、allproblemsandallstartingpoints.UsingthelinearapproximationapproachopensupthepossibilityofsolvingtheACoptimaltopologyandACoptimalunitcommitmentproblemsfasterasamixedintegerlinearprogramሺMIPሻ.Therankedperformanceofthenonlinearsolverschangesdependingonthetestproblem.Disclaimer:Theview

6、spresentedarethepersonalviewsoftheauthorsandnottheFederalEnergyRegulatoryCommissionoranyofitsCommissioners.Page2TableofContents1.Introduction42.TestDesign53.ResultsforEachTestProblem94.SummaryofResultsandConclusions12References13Appendix14Page31.IntroductionAfterhundredsofpapersover

7、thelasthalfcenturyonformulatingandsolvingtheACoptimalpowerflowሺACOPFሻandmanyattemptstosolvetheACOPFcommercially,inpractice,approximate‘DC’modelswithsurrogateACconstraintsarestillwidelyused.Cainetalሺ2012ሻpresentedaliteraturereviewofthehistoryandvariousformulationsoftheACOPF.TheACOPFi

8、sacontinuous‐variab