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610065BAPPSCAD/EMTDC。、。TM711A1003-8930201301-0047-06SimulationAnalysisonLowFrequencyOscillationintheAC/DCTransmissionSystemSHIHua-boLIUTian-qiLIXing-yuanCollegeofElectricalEngineeringandInformationSichuanUniversityChengdu610065ChinaAbstractDifferencesbetweentheweakdampingoscillationandforcedoscillationmechanismwereanalyzedwithsinglemachineinfinitebuspowersysteminthepaper.Usingthetwo-areasystemwithparalleledDCandAClinesasthesimulationmodeloscillationphenomenaweresimulatedandanalyzedbyeigenvalueanalysisandtimedomainsimulationmethodsinBPAandPSCAD/EMTDCAndtheeffectofaccessofHVDCtransmissiontothepowersys－temdampingandeffectfactorstoforcedoscillationwerealsoanalyzed.BesidesthedifferencesofthetwoOscilla－tionphenomenawerecompared.Theresultsofthestudyhavedefiniteinstructivemeaningfortheanalysismonitorandcontroloflowfrequencyoscillation.KeywordslowfrequencyoscillationweakdampingoscillationforcedoscillationHVDCtransmission2011-11-172012-01-1551037003、、。、[1]。[2-5]。、、、、[6]。[7-11][7]。。。[12-14]、。、、。①、②③。ProceedingsoftheCSU-EPSA25120132Vol.25No.1Feb.201325、。1。Md2Δδdt2+KDdΔδdt+KSΔδ=ΔPm1MKDKSΔδΔPm。ΔPm0Md2Δδdt2+KDdΔδdt+KSΔδ=022λ12=-KD±j4MKS-KD2姨ZM30。ΔPm=Asinωt4Aω。Md2Δδdt2+KDdΔδdt+KSΔδ=Asinωt5Δδ1tΔδ2t。Δδ1t=e-KD2M[C1cosβx+C2sinβx]6、、、。。。、、。6。Δδ2t=Bsinωt-φB=A/KS-Mω22+KD2ω2姨=A/KS1-v22+4ζ2v2姨φ=arctan[KDω/KS-Mω2]=arctan[2ζv/1-v2]v=ω/ωnζ=KD/2ωn姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨姨M7B、φ、。2、。。。。。[15]z觶=φ-1A准z8φAAZ。P。P=[P1iP2i…Pni]T=[φ1iψi1φ2iψi2…φniψin]T9φniφinψinψin。PPni=φniψinin。。48··1。。。3。3.11。200MW。900MVA。5。、、、[15]。BPABPAPSCAD。3.2[4]ΔωΔδ。141111。315G1、G2G3、G443G1G2、G3G4。。112。12467、。、。。2a、b1。2。2a。2b。。1Fig.1Two-areasystemwithparalleledDCandAClines1Tab.1Partialeigenvaluesoftwo-aeraACsystem/rad·s-1/Hz1-17.02452.68740.42770.98780.00142-16.89631.20060.19110.99750.00183-0.51796.36991.01380.08109.96344-0.50836.19330.98570.081810.62605-0.01802.97550.47360.00611.95556-4.71361.03390.16450.97680.04677-4.67881.02550.16320.97680.04828-0.85221.95150.31060.40020.47389-1.07710.89060.14180.77060.049510-0.30710.43150.06870.57990.028711-0.29700.42790.06810.57020.0320G1G3G4G2L73478125611121013L9q49··252Tab.2Partialeigenvaluesoftwo-aeraAC/DCsystemrad·s-1/Hz1-17.03032.78900.44390.98690.00142-16.89381.20920.19250.99740.00193-0.51296.38731.01660.080010.40924-0.51386.19050.98530.082710.23965-0.01243.17710.50560.00394.23636-4.71571.03480.16470.97680.04697-4.67731.02630.16330.97680.04808-0.79211.97280.31400.37260.29579-1.10330.91800.14610.76870.035310-0.30670.43130.06860.57950.023611-0.29640.42850.06820.56890.0284。。3.3、、、、。3.3.1强迫振荡23G3G41.0166Hz0.0800。G3G40.70751.0。4sG31.0166H0.01p.u.25s3a。G4G33b。3900MW。3aG336.5MWG449.6MW。。G1、G2。3bG337.4MWG453.14MWG3。。2Fig.2EigenvalueschangetrendwithDCpowerlevelinlowfrequencymodeab3.02.52.01.51.00.50/rad·s-1-150-10Pdc=0.5p.u.Pdc=1.0p.u.-56.56.05.55.04.54.03.53.0/rad·s-1-0.7-0.60-0.5-0.4-0.3-0.15→-0.2Pdc=0.5p.u.Pdc=1.0p.u.3←←4aG3t/s0.950.850.750.65Pp.u.010402030PG2PG1PG3PG43Fig.3PowerofeachgeneratorwhenlocalforcedoscillationoccursbG4t/s0.950.850.750.65Pp.u.010402030PG2PG1PG3PG4***********50··1。。。25G1、G2G3、G40.5056Hz0.0039。G1、G2、G3、G40.4869、0.2642、1.0、0.6264。4sG10.5056Hz0.01p.u.25s4。4G1。3。。G123.7MWG215.9MWG3118.4MWG4110.6MW。5200MW。559.5MW15.5MW、。3~5。。。3.3.2弱阻尼振荡194s83ms。6。。6。3。5Fig.5Powerofconnectinglinewhenforcedoscillationoccursa1.101.051.000.950.90Pdcp.u.t/s010402030PG1PG2PG3b1.11.00.90.80.70.6Pacp.u.t/s0104020304Fig.4Powerofeachgeneratorwhenforcedoscillationoccursinoverallsystem0.950.850.750.650.55Pp.u.t/s010402030PG1PG2PG3PG46Fig.6PowerofAClinewhentransientdisturbanceoccurs1.21.00.80.60.40.20Pp.u.t/s01040203051··25。。4、。。。。。。[1]GuLihongZhouXiaoxinTaoHongzhuetal.Analysisonmechanismofinter-areaforcedos－cillationcausedbylocalweakinterconnectioninintercon－nectedpowergrid[J].PowerSystemTechnolo－gy2010341236-43.[2]DeMelloFPConcordiaC．Conceptofsynchronousma－chinestabilityasaffectedbyexcitationcontrol[J]．IEEETransonPAS1969884316-329．[3]HanSongXuZhengHeLiquan.Currentre－searchreviewDynamiccharacteristicanalysismethodsforinter-areaoscillationsininterconnectedpowersystems[J].ProceedingsoftheCSU-EPSA20112346-14.[4]．[M]．2002.[5].[M]．2004.[6]WangQingMinYongZhangYi－wei.Themechanismresearchandmainanalysismethodoflowfrequencyoscillationinpowersystem[J]．ElectrotechnicalApplication20062571-6.[7]WangTieqiangHeRen－muWangWeiguoetal.Themechanismstudyoflowfrequencyoscillationinpow－ersystem[J]．ProceedingsoftheCSEE200222221-25.[8]TangYong.Fundamentstheoryofforcedpoweroscillationinpowersystem[J].PowerSystemTechnology2006301029-33.[9]HanZhiyongHeRenmuXuYanhui.Studyonresonancemechanismofpowersys－temlowfrequencyoscillationinducedbyturbo-pressurepulsation[J].ProceedingsoftheCSEE200828147-51.[10]LiuZhijianShuHongchunWangHaijunetal.Effectofpressurefluctua－tioninhydraulicturbinedrafttubeonlow-frequencyos－cillationofelectricpowersystem[J].WaterResourcesandHydropowerEngineering200940458-6175.[11]YuYipingMinYongChenLeietal.Analy－sisofforcedpoweroscillationcausedbycontinuouscycli－calloaddisturbances[J].AutomationofElectricPowerSystems20103467-11.[12].[M].2010.[13]LuoLo