第51卷第2期电力系统保护与控制Vol.51No.22023年1月16日PowerSystemProtectionandControlJan.16,2023DOI:10.19783/j.cnki.pspc.220262基于李雅普诺夫函数的带锁相环的VSC大扰动稳定性判据李宇骏1，华凤林1，陆艺源1，张谦2，杜正春1(1.西安交通大学电力工程系，陕西西安710049；2.国网山西省电力公司电力科学研究院，山西太原030001)摘要：对于带锁相环的并网VSC大扰动稳定性问题，首先依据VSC的内环电流控制和外环功率控制响应速度差异得到简化二阶非线性模型，然后分别定义了两个李雅普诺夫函数。第一个李雅普诺夫函数具有清晰的动能和势能概念，但推导的稳定域较小，第二个李雅普诺夫函数推导的稳定域较大但缺乏清晰的物理概念。最后结合这两个李雅普诺夫函数，得到实用的稳定性判据，兼具明确的物理意义和较宽的稳定域。如果在系统最后一次动作时已知锁相环状态量，则可以预测系统稳定性。仿真结果验证了该判据的正确性。关键词：并网VSC；锁相环；大扰动稳定性；Lyapunov函数LargedisturbancestabilitycriterionforaVSCwithphase-lockedloopbasedonaLyapunovfunctionLIYujun1,HUAFenglin1,LUYiyuan1,ZHANGQian2,DUZhengchun1(1.DepartmentofElectricalEngineering,Xi’anJiaotongUniversity,Xi'an710049,China;2.ElectricPowerResearchInstituteofStateGridShanxiElectricPowerCompany,Taiyuan030001,China)Abstract:Tostudythelargedisturbancestabilityofagrid-connectedVSCwithphase-lockedloop,asimplifiedsecondordernonlinearmodelofaVSCisestablishedbasedonthedifferenceofresponsespeedbetweeninnerloopcurrentcontrolandouterlooppowercontrol,andtwoLyapunovfunctionsareseparatelydefined.ThefirstLyapunovfunctionhasclearkineticenergyandpotentialenergyconceptsbutasmallstableregion,whilethesecondLyapunovfunctionhasawiderstableregionbutlacksclearphysicalconcepts.CombiningthetwoLyapunovfunctions,apracticalstabilitycriterionisobtained,onewhichhasbothclearphysicalconceptsandarelativelylargestableregion.Ifthestateofthephase-lockedloopisknownatthetimeofthesystem’slastoperation,thestabilitycanbepredicted.Thesimulationresultswellverifytheaccuracyofthederivedstabilitycriterion.ThisworkissupportedbytheScienceandTechnologyProjectoftheHeadquartersofStateGridCorporationofChina(No.5100-20...
