Developing Line Current magnitude Constraints for IEEE Test Problems - Optimal Power Flow Paper 7

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1、OptimalPowerFlowPaper7StaffpaperbyPaulaA.LipkaRichardP.O’NeillShmuelOrenApril2013Page1DevelopingLineCurrentmagnitudeConstraintsforIEEETestProblemsOptimalPowerFlowPaper7PaulaA.Lipka,RichardP.O’Neill,andShmuelOrenplipka@berkeley.edu;richard.oneill@ferc.gov;oren@ieor.berkeley.eduApril2013Abst

2、ractandExecutiveSummaryAllpowersystemoperatorsensuretheirsystemsadheretothermallimitsontransmissionlinesinordertoavoidlinedeformation.Also,thermallimitsareusedassurrogatesforvoltagestability.TheIEEEtestproblemsdonotincludedataontheselimits.Thepurposeofthispaperistopresentasimplemethodforco

3、nstructingcurrentmagnitudeconstraintsandtoreportonthecomputationalpropertiesinsolvingtheresultingproblems.Thispaperfindslimitsonthemaximumallowablecurrentmagnitudethatresultinafeasiblesolutionforthe14‐bus,30‐bus,57‐bus,and118‐busIEEEtestproblems.Foreachtestproblem,onesinglelimitisappliedto

4、alllinesthatmakestheoptimalsolutionwithouttheselimitsinfeasible.Foreachproblemwedevelopa‘tight’anda‘loose’constraint.Wesolvetheresultingproblemusingthecurrentvoltageformulation.Differenttestproblemsexhibitdifferentcharacteristics.IncludingtheseconstraintsintheACOPFincreasesthesolutiontimeb

5、etween2to20timesandcostsሺobjectivefunctionሻupto25percent.Disclaimer:TheviewspresentedarethepersonalviewsoftheauthorsandnottheFederalEnergyRegulatoryCommissionoranyofitsCommissioners.Page2TableofContents1.Introduction..........................................................................

6、..........................42.Notation............................................................................................................43.Current‐VoltageACOPFModel................................................................54.Methods...........................................

7、.................................................................65.ComputationalAnalysis...............................................................................76.Conclusions..............................................................................