基于时域变换方法的同步发电机电磁暂态仿真模型
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摘要
基于时域变换的电磁暂态计算方法利用了电力系统中的电压、电流等物理量具有接近正弦波的特征,可以在不损失仿真精度的情况下,增大所使用的计算步长,从而提高仿真效率。为了准确高效地模拟电力系统中与发电机相关的动态特性,采用基于时域变换的方法建立了同步发电机模型,通过不同的算例测试验证了模型的正确性;测试结果表明在一些暂态过程中,可以使用毫秒级的计算步长并具有较好的精度。
Electromagnetic transient calculation method based on time domain transformation takes advantage of the special characteristics of voltage and current in power systems, whose waveforms are close to be sinusoidal. It can use a larger time step and improve the efficiency of simulation without accuracy loss. To accurately and efficiently simulate the dynamics of power systems related to generators, a synchronous generator model based on the time domain transformation method is developed in this paper. Diverse test cases are used to verify the validation of the presented model. Test results show that the accuracy of the presented model keeps good even with time steps of milliseconds.
Electromagnetic transient calculation method based on time domain transformation takes advantage of the special characteristics of voltage and current in power systems, whose waveforms are close to be sinusoidal. It can use a larger time step and improve the efficiency of simulation without accuracy loss. To accurately and efficiently simulate the dynamics of power systems related to generators, a synchronous generator model based on the time domain transformation method is developed in this paper. Diverse test cases are used to verify the validation of the presented model. Test results show that the accuracy of the presented model keeps good even with time steps of milliseconds.
引文
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[2] DOMMEL H W.Digital computer solution of electromagnetic transients in single-and multiphase networks [J].IEEE Transactions on Power Apparatus and Systems,1969,88(4):388-399.
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[17] STRUNZ Kai,SHINTAKU Rachel,GAO Feng.Frequency-adaptive network modeling for integrative simulation of natural and envelope waveforms in power systems and circuits [J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,2006,53(12):2788-2803.
[18] GAO Feng,STRUNZ Kai.Frequency-adaptive power system modeling for multiscale simulation of transients [J].IEEE Transactions on Power Systems,2009,24(2):561-571.
[19] ZHANG P,MARTI J R,DOMMEL H W.Synchronous machine modeling based on shifted frequency analysis [J].IEEE Transactions on Power Systems,2007,22(3):1139-1147.
[20] ZHANG P,MARTI J R,DOMMEL H W.Induction machine modeling based on shifted frequency analysis [J].IEEE Transactions on Power Systems,2009,24(1):157-164.
[21] GAO Feng,STRUNZ Kai.Multi-scale simulation of multi-machine power systems [J].International Journal of Electrical Power and Energy Systems,2009,31(9):538-545.
[22] MARTI J R,LOUIE K W.A phase-domain synchronous generator model including saturation effects [J].IEEE Transactions on Power Systems,1997,12(1):222-229.
[23] WANG L,JATSKEVICH J.A voltage-behind-reactance synchronous machine model for the EMTP-type solution [J].IEEE Transactions on Power Systems,2006,21(4):1539-1549.
[24] KUNDUR P.Power system stability and control [M].New York:McGraw-Hill,1993.
[25] LAUB A J.Matrix analysis for scientists and engineers [M].Philadelphia:Society for Industrial and Applied Mathematics,2005.
[26] WOODFORD D A,GOLE A M,MENZIES R.W.Digital simulation of DC links and AC machines [J].IEEE Transactions on Power Apparatus and Systems,1983,102(6):1616-1623.
[2] DOMMEL H W.Digital computer solution of electromagnetic transients in single-and multiphase networks [J].IEEE Transactions on Power Apparatus and Systems,1969,88(4):388-399.
[3] BRANDWAJN V.Synchronous generator models for the simulation of electromagnetic transients [D].Vancouver:The University of British Columbia,1977.
[4] 李建林,牛萌,张博越,等.电池储能系统机电暂态仿真模型[J].电工技术学报,2018,33(8):1911-1918.LI Jianlin,NIU Meng,ZHANG Boyue,et al.Simulation model of battery energy storage system in electromechanical transient [J].Transactions of China Electrotechnical Society,2018,33(8):1911-1918.
[5] 杨洋,肖湘宁,陶顺,等.多端口电磁-机电暂态混合实时仿真接口技术与应用[J].电工技术学报,2017,32(4):231-240.YANG Yang,XIAO Xiangning,TAO Shun,et al.Multi-port interface technique and application of electromagnetic and electromechanical transient hybrid real-time simulation [J].Transactions of China Electrotechnical Society,2017,32(4):231-240.
[6] FROWD R J,GIRI J C,PODMORE R.Transient stability and longterm dynamics unified [J].IEEE Transactions on Power Apparatus and Systems,1982,101(10):3841-3850.
[7] HENSCHEL S.Analysis of electromagnetic and electromechanical power system transients with dynamic phasors [D].Vancouver:The University of British Columbia,1999.
[8] 薛安成,刘瑞煌,耿继瑜,等.双馈风力发电机暂态自由响应近似解析解及其时间尺度分析[J].电工技术学报,2017,32(24):214-223.XUE Ancheng,LIU Ruihuang,GENG Jiyu,et al.Approximate analytical solution of transient free response of DFIG and its time scale analysis [J].Transactions of China Electrotechnical Society,2017,32(24):214-223.
[9] 蔡晖,杨健,彭竹弈,等.基于PSS/E的MMC-UPFC机电暂态仿真方法[J].电力系统保护与控制,2018,46(19):117-125.CAI Hui,YANG Jian,PENG Zhuyi,et al.Electromechanical transient simulation method for MMC-UPFC in PSS/E [J].Power System Protection and Control,2018,46(19):117-125.
[10] 林旻威,温步瀛.大规模风电接入对电力系统暂态稳定性影响研究综述[J].电气技术,2017,18(4):1-8.LIN Minwei,WEN Buying.The overview of influence of large scale wind generation on transient stability of power system [J].Electrical Engineering,2017,18(4):1-8.
[11] ZHANG Peng.Shifted frequency analysis for EMTP simulation of power system dynamics [D].Vancouver:The University of British Columbia,2009.
[12] FRAGA J C.Tunable difference equations for the time domain simulation of power system operating states [D].Vancouver:The University of British Columbia,2003.
[13] HENSCHEL S.Analysis of electromagnetic and electromechanical power system transients with dynamic phasors [D].Vancouver:The University of British Columbia,1999.
[14] JALILI-MARANDI V,DINAVAHI V,STRUNZ K,et al.Interfacing techniques for transient stability and electromagnetic transient programs [J].IEEE Transactions on Power Delivery,2009,24(4):2385-2395.
[15] MARTí J R,DOMMEL H W,BONATTO B D,et al.Shifted frequency analysis (SFA) concepts for EMTP modelling and simulation of power system dynamics [C]//2014 Power Systems Computation Conference,August 18-22,2014,Wroclaw,Poland.New York:IEEE,2014:1-8.
[16] ZHANG P,MARTI J R,DOMMEL H W.Shifted-frequency analysis for EMTP simulation of power-system dynamics[J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,2010,57(9):2564-2574.
[17] STRUNZ Kai,SHINTAKU Rachel,GAO Feng.Frequency-adaptive network modeling for integrative simulation of natural and envelope waveforms in power systems and circuits [J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,2006,53(12):2788-2803.
[18] GAO Feng,STRUNZ Kai.Frequency-adaptive power system modeling for multiscale simulation of transients [J].IEEE Transactions on Power Systems,2009,24(2):561-571.
[19] ZHANG P,MARTI J R,DOMMEL H W.Synchronous machine modeling based on shifted frequency analysis [J].IEEE Transactions on Power Systems,2007,22(3):1139-1147.
[20] ZHANG P,MARTI J R,DOMMEL H W.Induction machine modeling based on shifted frequency analysis [J].IEEE Transactions on Power Systems,2009,24(1):157-164.
[21] GAO Feng,STRUNZ Kai.Multi-scale simulation of multi-machine power systems [J].International Journal of Electrical Power and Energy Systems,2009,31(9):538-545.
[22] MARTI J R,LOUIE K W.A phase-domain synchronous generator model including saturation effects [J].IEEE Transactions on Power Systems,1997,12(1):222-229.
[23] WANG L,JATSKEVICH J.A voltage-behind-reactance synchronous machine model for the EMTP-type solution [J].IEEE Transactions on Power Systems,2006,21(4):1539-1549.
[24] KUNDUR P.Power system stability and control [M].New York:McGraw-Hill,1993.
[25] LAUB A J.Matrix analysis for scientists and engineers [M].Philadelphia:Society for Industrial and Applied Mathematics,2005.
[26] WOODFORD D A,GOLE A M,MENZIES R.W.Digital simulation of DC links and AC machines [J].IEEE Transactions on Power Apparatus and Systems,1983,102(6):1616-1623.