水轮机详细模型对电力系统暂态稳定分析结果的影响

292Vol.29No.220051PowerSystemTechnologyJan20051000-3673200502-0005-04TM711TM311A470·402412113100272450002EFFECTOFDETAILEDHYDROTURBINEMODELSONANALYSISRESULTSOFPOWERSYSTEMTRANSIENTSTABILITYGAOHui-min1LIUXian-lin2XUZheng11DepartmentofElectricalEngineeringZhejiangUniversityHangzhou310027ZhejiangProvinceChina2SchoolofElectricalEngineeringZhengzhouUniversityZhengzhou450002HenanProvinceChinaABSTRACTSimplifiedidealmodelsofhydroturbinesareappliedinpowersystemsimulationandtheeffectofdetailedmodelofhydroturbineonsimulationresultsofpowersystemtransientstabilityremainstobesolved.Theauthorspresentthreekindsoflinearmodelsandthreekindsofnonlinearmodelsofhydroturbine,includingthemodelbasedonthefour-quadrantcharacteristics,themodelbasedontheinternalcharacteristics,thesimplifiedanalysisnonlinearmodel,thelinearizedmodelbasedonthemouldcharacteristics,thelinearizedmodelbasedontheinternalcharacteristics,andtheidealmodel.Theeffectandtheapplicabilityofdifferentdetailedmodelsofhydroturbinesonpowersystemtransientstabilityarecomparedandanalyzedbyuseofanexamplesystem.Thesimulationresultsshowthattheeffectofdifferentdetailedmodelsofhydroturbineonpowersystemtransientstabilityisnotevident,andthetransientprocessofthepowersystemisnotalwaysalargedisturbancetothehydraulicsystem.Thesimulationresultsofdifferentdetailedmodelsofhydroturbinetomedium-termandlong-termpowersystemtransientstabilityaredifferent,thereforethedetailedmodelsofhydroturbineshouldbeappliedinthemedium-termandlong-termsimulationofpowersystemtransientstability.KEYWORDSPowersystemTransientstabilityHydroturbineLinearmodelNon-linearmodelDetailedmodels1[1,2]P.Kundur50277034ProjectSupportedbyNationalNaturalScienceFoundationofChina(NSFC)(50277034)6PowerSystemTechnologyVol.29No.2[3,4]PSS/E[5][1][6][7][8][9][3][4]22.1[7]def(,,)def(,,)ttMMyHQQyHww⎧⎨⎩(1)tMN·mQm3/sypuHmwrad/s(1)1[7](1)11(,)Qfyn′′=11(,)Mgyn′′=1Q′1M′1n′ynH1n′1Q′1M′2[8]0022cotcot2cotcot2tHrQrgbFMrQrbFwabwabrw⎧⎡⎤⎛⎞=+-⎪⎢⎥⎜⎟π⎝⎠⎪⎣⎦⎨⎡⎤⎛⎞⎪=+-⎢⎥⎜⎟⎪π⎝⎠⎣⎦⎩(2)aradbrad0bmFm2rmrkg/m3gm/s23[3,4]()tLpNLuPPPkQQHQkGH=-=-⎧⎪⎨=⎪⎩(3)pkukGpuNLQm3/s,tPWPWLPWGy11tGAy=tA1/()tFLNLAyy=-FLyNLy(3)G/pu01.01.0y/puAtyFLAtyNLyNLyFL1Fig.1Therelationshipbetweentheidealgateopeningandthepracticalgateopening2927()tNLqGhpqqh⎧=⎨=-⎩(4)qpuhputppuNLqpu0NLtNLqAyh=0hpu01h=2.2(1)ttttmymmhqyqqhmmmmyxheyexehyxhqqqqyxheyexehyxhww∂∂∂⎧Δ=Δ+Δ+Δ=Δ+Δ+Δ⎪⎪∂∂∂⎨∂∂∂⎪Δ=Δ+Δ+Δ=Δ+Δ+Δ∂∂∂⎪⎩(5)myemewmheqyeqewqhe1[7,10]2[11]*22000**2000000csc1/2mqyrAaQeQAkQbrkahw=⋅⋅+-π*00**000011/rqrAQeQAkQwwwh-=⋅⋅+-0**000011/rqhrQHeHQAkQh=⋅⋅+-*0myqyeBe=*000tmqMeBewww=-*000tmhqhMeBeH=+0r22*00009.81rrAHHwh=⋅**0000(1)trtrMQkBMQh=+*kQhΔ=Δ0kh[11]3(4)0NLqh=Gy=[3,4]tqyhpqh⎧=⎨=⎩(6)(6)0.5tqyhpqhΔ=Δ+Δ⎧⎨Δ=Δ+Δ⎩(7)()()whsTsqsΔ=-Δ(8)wT(7)(8)110.5wtwTspyTs-=+(9)35[12]20st=K(3)0.1st=[12]238PowerSystemTechnologyVol.29No.2K(3)2Fig.2Hydro-electricalsystemwithsingle-unit1.0251.0301.0351.0401.0451.0501.0551.060-202468101214t/s2143d/pu0.9850.9900.9951.0001.0051.0101.0151243w/pu-202468101214t/s0.00.20.40.60.81.01.21.4ut/pu-202468101214t/s1.21.62.02.42.83.2uf/pu-202468101214t/s(a)(b)(c)(d)0.780.790.800.810.820.831234pt/pu-202468101214t/s0.00.20.40.60.8pe/pu-202468101214t/s0.710.730.750.770.792143y/pu-202468101214t/s0.980.991.001.011.021234h/pu-202468101214t/s(e)(f)(g)(h)12343Fig.3Simulationresultsofthehydro-electricalsystemwithsingle-unit3(a)(b)3(c)(d)(f)3(e)(g)(h)0.74~0.77pu3(e)41234[1][J]200024(24)27-29WeiZhinongChenJianguangPanXuepingetalStudyofinteractionofhydraulicmechanicalelectricalsystems[J]AutomationofElectricPowerSystems200024(24)27-29[2][J]200212(1)91-96LiuXiangLiDonghaiJiangXuezhietalSimulationstudyonnonlinearcontrollerforhydroturbinegeneratorsets[J]ProceedingsoftheCSEE200212(1)91-96[3]WorkingGrouponPrimeMoverandEnergySupplyModelsforSystemDynamicPerformanceHydraulicturbineandturbinecontrolmodelsforsystemdynamicstudies[J]IEEETransonPowerSystems19927(1)167-179[4]KundurPPowersystemstabilityandcontrol[M]NewYorkMcGraw-Hill199449continuedonpage4929249measurementbasedonsynchronizedphasormeasurement[J]JournalofNortheastChinaInsituteofElectricPowerEngineering200222(4)1-6[24][J]200222(9)21-23AnYanqiuGaoHouleiOn-linecalculationoftransmissionlineparametersusingsynchronizedphasormeasurement[J]ElectricPowerAutomationEquipment200222(9)21-23[25]BreulmannHGrebeELösingMetalAnalysisanddampingofinter-areaoscillationsintheUCTE/CENTRELpowersystem[A]InternationalCouncilonLargeElectricSystems(CIGRE)Session2000[C]ParisFrance200038-113[26][J]200428(2)37-40XieXiaorongXiaoJinyuTongLuyuanetalInter-areadampingcontrolofinterconnectedpowersystemsusingwide-areameasurements[J]AutomationofElectricPowerSystems200428(2)37-40[27]NiHHeydtGTMiliLPowersystemstabilityagentsusingrobustwideareacontrol[J]IEEETransonPowerSystems200217(4)1123-1131[28]SnyderAFMohammedAEGeorgesDetalArobustdampingcontrollerforpowersystemsusinglinearmatrixinequalities[A]ProceedingsoftheIEEE-PESWinterMeeting[C]NewYork19991519-524[29]IvanescuDSnyderAFDionJMetalRobuststabilizingcontrollerforaninterconnectedpowersystematimedelayapproach[A]14thInternationalSymposiumonMathematicalTheoryofNetw