matpower 5.1 user manual

Matpower5.0User'sManualRayD.ZimmermanCarlosE.Murillo-SanchezDecember17,2014©2010,2011,2012,2013,2014PowerSystemsEngineeringResearchCenter(Pserc)AllRightsReservedContents1Introduction91.1Background................................91.2LicenseandTermsofUse........................91.3CitingMatpower............................102GettingStarted112.1SystemRequirements...........................112.2Installation................................112.3RunningaSimulation...........................132.3.1PreparingCaseInputData....................142.3.2SolvingtheCase.........................142.3.3AccessingtheResults.......................152.3.4SettingOptions..........................152.4Documentation..............................163Modeling183.1DataFormats...............................183.2Branches..................................183.3Generators.................................203.4Loads...................................203.5ShuntElements..............................203.6NetworkEquations............................213.7DCModeling...............................214PowerFlow254.1ACPowerFlow..............................254.2DCPowerFlow..............................274.3runpf...................................274.4LinearShiftFactors............................295ContinuationPowerFlow325.1Parameterization.............................335.2Predictor..................................335.3Corrector.................................345.4Steplengthcontrol............................345.5runcpf...................................3526OptimalPowerFlow416.1StandardACOPF............................416.2StandardDCOPF............................426.3ExtendedOPFFormulation.......................436.3.1User-denedCosts........................436.3.2User-denedConstraints.....................446.3.3User-denedVariables......................466.4StandardExtensions...........................466.4.1PiecewiseLinearCosts......................466.4.2DispatchableLoads........................476.4.3GeneratorCapabilityCurves...................496.4.4BranchAngleDierenceLimits.................496.5Solvers...................................506.6runopf...................................517ExtendingtheOPF567.1DirectSpecication............................567.2CallbackFunctions............................577.2.1ext2intCallback.........................587.2.2formulationCallback......................607.2.3int2extCallback.........................627.2.4printpfCallback.........................647.2.5savecaseCallback........................677.3RegisteringtheCallbacks.........................697.4Summary.................................717.5ExampleExtensions...........................717.5.1FixedZonalReserves.......................717.5.2InterfaceFlowLimits.......................727.5.3DCTransmissionLines......................737.5.4DCOPFBranchFlowSoftLimits................768UnitDe-commitmentAlgorithm799MiscellaneousMatpowerFunctions819.1Input/OutputFunctions.........................819.1.1loadcase.............................819.1.2savecase.............................819.1.3cdf2mpc..............................829.1.4psse2mpc.............................8239.2SystemInformation............................829.2.1caseinfo.............................829.2.2comparecase...........................839.2.3findislands...........................839.2.4getlosses............................839.2.5margcost.............................849.2.6isload...............................849.2.7printpf..............................849.2.8totalload............................859.2.9totcost..............................859.3ModifyingaCase.............................859.3.1extractislands.........................859.3.2load2disp.............................869.3.3modcost..............................869.3.4scaleload............................869.4ConversionbetweenExternalandInternalNumbering.........879.4.1ext2int,int2ext.........................879.4.2e2idata,i2edata........................879.4.3e2ifield,i2efield......................889.5FormingStandardPowerSystemsMatrices...............889.5.1makeB...............................889.5.2makeBdc..............................899.5.3makeJac..............................899.5.4makeYbus.............................899.6Miscellaneous...............................899.6.1defineconstants........................899.6.2havefcn.............................909.6.3mpver...............................909.6.4nestedstructcopy.......................9010Acknowledgments91AppendixAMIPS{MatlabInteriorPointSolver92A.1Example1.................................94A.2Example2.................................96A.3QuadraticProgrammingSolver.....................98A.4Primal-DualInteriorPointAlgorithm..................99A.4.1Notation..............................994A.4.2ProblemFormulationandLagrangian..............100A.4.3FirstOrderOptimalityConditions...............101A.4.4NewtonStep...........................102AppendixBDataFileFormat105AppendixCMatpower