并列机组轴系次同步振荡特性及采用SSDC抑制多机系统次同步振荡研究
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摘要
为抑制多机系统次同步振荡,研究了整流站附近有多台机组并列运行时用于抑制机组次同步振荡的次同步阻尼控制器(subsynchronous damping controller,SSDC)设计方法。采用特征值分析法及时域仿真,分析了双机并列系统在共有自然频率处转速的相位关系,并在此基础上研究了SSDC输入信号中消去异模分量时多台机组次同步振荡的抑制效果。结果表明:不论同型机还是异型机,共有自然频率处都存在共模模式和异模模式,异模模式中发电机质量块振幅和模态转动惯量成反比。由于异模模式被激发,两机组转速相位关系具有不确定性;SSDC输入信号中消去异模分量时可以同时有效抑制多台机组的次同步振荡。
We studied the designing method of subsynchronous damping controller(SSDC) to mitigate subsynchronous oscillation(SSO) of multi-generator system. By eigenvalue analysis and time-domain simulation, we investigated the phase relationship of speed signals of two generators in parallel under their shared natural frequency, and the effectiveness of SSDC in mitigating SSO of multi-generators when eliminating the anti-mode component in its input signal. The results reveal that, whether the two generators are identical or not, there always exists a common-mode and an anti-mode under their shared natural frequency. In anti-mode, the oscillation magnitude of the generator masses is reversely proportional to the modal inertias. As the anti-mode is stimulated, the phase relationship of speed signals of the two generators is uncertain. By eliminating the anti-mode component in its input signal, the SSDC is effective in mitigating SSO of the two generators simultaneously.
We studied the designing method of subsynchronous damping controller(SSDC) to mitigate subsynchronous oscillation(SSO) of multi-generator system. By eigenvalue analysis and time-domain simulation, we investigated the phase relationship of speed signals of two generators in parallel under their shared natural frequency, and the effectiveness of SSDC in mitigating SSO of multi-generators when eliminating the anti-mode component in its input signal. The results reveal that, whether the two generators are identical or not, there always exists a common-mode and an anti-mode under their shared natural frequency. In anti-mode, the oscillation magnitude of the generator masses is reversely proportional to the modal inertias. As the anti-mode is stimulated, the phase relationship of speed signals of the two generators is uncertain. By eliminating the anti-mode component in its input signal, the SSDC is effective in mitigating SSO of the two generators simultaneously.
引文
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[10]付伟,李兴源,洪潮,等.基于PRONY辨识的附加最优次同步阻尼控制器设计[J].电力系统及其自动化学报,2008,20(5):10-15.FU Wei,LI Xingyuan,HONG Chao,et al.Design of optimal subsynchronous damping controller based on Prony method[J].Proceedings of the CSU-EPSA,2008,20(5):10-15.
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[15]Jennings G D,Harley R G.Torsional interaction between nonidentical turbine generators[J].IEEE Transactions on Power Systems,1990,5(1):133-139.
[16]胡楠,李兴源,李宽,等.基于改进子空间模型辨识法的交直流系统降阶模型在线辨识[J].高电压技术,2013,39(11):2791-2798.HU Nan,LI Xingyuan,LI Kuan,et al.On-line identification of low-order model of AC/DC system based on modified subspace model identification method[J].High Voltage Engineering,2013,39(11):2791-2798.
[17]陈实,李兴源,赵睿,等.基于控制敏感因子的PSS和直流附加控制的协调阻尼控制[J].高电压技术,2014,40(11):3577-3583.CHEN Shi,LI Xingyuan,ZHAO Rui,et al.Coordination research of PSS and HVDC damping control based on control sensitive factor[J].High Voltage Engineering,2014,40(11):3577-3583.
[18]刘林,林涛,徐遐龄.采用复原子解耦调制滤波的次同步振荡模态分析方法及其仿真[J].高电压技术,2011,37(8):2053-2058.LIU Lin,LIN Tao,XU Xialing.Subsynchronous oscillation mode analysis method and simulation using complex atom filter with decoupling modulation[J].High Voltage Engineering,2011,37(8):2053-2058.
[19]董飞飞,刘涤尘,涂炼,等.基于MM-ARMA算法的次同步振荡模态参数辨识[J].高电压技术,2013,39(5):1252-1257.DONG Feifei,LIU Dichen,XU Lian,et al.Subsynchronous oscillation modal parameter identification based on MM-ARMA algorithm[J].High Voltage Engineering,2013,39(5):1252-1257.
[20]IEEE SSR Working Group.Second benchmark model for computer simulation of subsynchronous resonance[J].IEEE Transactions on Power Apparatus and Systems,1985,104(5):1057-1066.
[21]Anderson P M,Agrawal B L,Van Ness J E.Subsynchronous resonance in power systems[M].New York,USA:Wiley Company,1999.
[22]张静,徐政,郑翔,等.SVC抑制SSR的机理及控制器设计[J].南方电网技术,2010,4(3):57-61.ZHANG Jing,XU Zheng,ZHENG Xiang,et al.The principle and design of SVC controller for SSR mitigation[J].Southern Power System Technology,2010,4(3):57-61.
[2]Piwko R J,Larsen E V.HVDC system control for damping of subsynchronous oscillations[J].IEEE Transactions on Power Apparatus and Systems,1982,101(7):2203-2211.
[3]周长春,徐政.由直流输电引起的次同步振荡的阻尼特性分析[J].中国电机工程学报,2003,23(10):6-10.ZHOU Changchun,XU Zheng.Damping analysis of subsynchronous oscillation caused by HVDC[J].Proceedings of the CSEE,2003,23(10):6-10.
[4]Bahrman M,Larsen E V,Piwko R J,et al.Experience with HVDC turbine-generator torsional interaction at square butte[J].IEEE Transactions on Power Apparatus and Systems,1980,99(3):966-975.
[5]唐酿,肖湘宁,李伟,等.HVDC附加次同步阻尼控制器设计及其相位补偿分析[J].高电压技术,2011,37(4):1015-1021.TANG Niang,XIAO Xiangning,LI Wei,et al.Phase correction method of HVDC supplementary subsynchronous multiple models damping controller[J].High Voltage Engineering,2011,37(4):1015-1021.
[6]李伟,肖湘宁,郑蕤,等.基于模态控制的附加阻尼控制器的设计[J].电网技术,2010,34(10):76-81.LI Wei,XIAO Xiangning,ZHENG Rui,et al.Design of modal-based supplementary subsynchronous damping controller[J].Power System Technology,2010,34(10):76-81.
[7]张帆,徐政.直流输电次同步阻尼控制器的设计[J].电网技术,2008,32(11):13-17.ZHANG Fan,XU Zheng.A method to design a subsynchronous damping controller for HVDC transmission system[J].Power System Technology,2008,32(11):13-17.
[8]高本锋,赵成勇,肖湘宁,等.高压直流输电系统附加次同步振荡阻尼控制器的设计与实现[J].高电压技术,2010,36(2):501-506.GAO Benfeng,ZHAO Chengyong,XIAO Xiangning,et al.Design and implementation of SSDC for HVDC[J].High Voltage Engineering,2010,36(2):501-506.
[9]江全元,程时杰,曹一家.基于遗传算法的HVDC附加次同步阻尼控制器的设计[J].中国电机工程学报,2002,22(11):87-91.JIANG Quanyuan,CHENG Shijie,CAO Yijia.Design of HVDC supplementary damping controller using genetic algorithms[J].Proceedings of the CSEE,2002,22(11):87-91.
[10]付伟,李兴源,洪潮,等.基于PRONY辨识的附加最优次同步阻尼控制器设计[J].电力系统及其自动化学报,2008,20(5):10-15.FU Wei,LI Xingyuan,HONG Chao,et al.Design of optimal subsynchronous damping controller based on Prony method[J].Proceedings of the CSU-EPSA,2008,20(5):10-15.
[11]杨秀,王西田,陈陈.基于H∞鲁棒控制理论的高压直流输电系统附加次同步振荡阻尼控制设计[J].电网技术,2006,30(9):57-61.YANG Xiu,WANG Xitian,CHEN Chen.Design of supplemental subsynchronous oscillation damping control based on H∞robust control theory of HVDC system[J].Power System Technology,2006,30(9):57-61.
[12]Alden R T H,Nolan P J,Bayne J P.Shaft dynamics in closely coupled identical generators[J].IEEE Transactions on Power Apparatus and Systems,1977,96(3):721-728.
[13]Iravani M R.Torsional oscillations of unequally-loaded parallel identical turbine-generators[J].IEEE Transactions on Power Systems,1989,4(4):1514-1524.
[14]杨帆,王西田,徐英新,等.同型多机电力系统间扭振相互作用的等效简化研究[J].中国电机工程学报,2006,26(5):6-11.YANG Fan,WANG Xitian,XU Yingxin,et al.Equivalent simplification of torsional interaction in identical multi-machine power systems[J].Proceedings of the CSEE,2006,26(5):6-11.
[15]Jennings G D,Harley R G.Torsional interaction between nonidentical turbine generators[J].IEEE Transactions on Power Systems,1990,5(1):133-139.
[16]胡楠,李兴源,李宽,等.基于改进子空间模型辨识法的交直流系统降阶模型在线辨识[J].高电压技术,2013,39(11):2791-2798.HU Nan,LI Xingyuan,LI Kuan,et al.On-line identification of low-order model of AC/DC system based on modified subspace model identification method[J].High Voltage Engineering,2013,39(11):2791-2798.
[17]陈实,李兴源,赵睿,等.基于控制敏感因子的PSS和直流附加控制的协调阻尼控制[J].高电压技术,2014,40(11):3577-3583.CHEN Shi,LI Xingyuan,ZHAO Rui,et al.Coordination research of PSS and HVDC damping control based on control sensitive factor[J].High Voltage Engineering,2014,40(11):3577-3583.
[18]刘林,林涛,徐遐龄.采用复原子解耦调制滤波的次同步振荡模态分析方法及其仿真[J].高电压技术,2011,37(8):2053-2058.LIU Lin,LIN Tao,XU Xialing.Subsynchronous oscillation mode analysis method and simulation using complex atom filter with decoupling modulation[J].High Voltage Engineering,2011,37(8):2053-2058.
[19]董飞飞,刘涤尘,涂炼,等.基于MM-ARMA算法的次同步振荡模态参数辨识[J].高电压技术,2013,39(5):1252-1257.DONG Feifei,LIU Dichen,XU Lian,et al.Subsynchronous oscillation modal parameter identification based on MM-ARMA algorithm[J].High Voltage Engineering,2013,39(5):1252-1257.
[20]IEEE SSR Working Group.Second benchmark model for computer simulation of subsynchronous resonance[J].IEEE Transactions on Power Apparatus and Systems,1985,104(5):1057-1066.
[21]Anderson P M,Agrawal B L,Van Ness J E.Subsynchronous resonance in power systems[M].New York,USA:Wiley Company,1999.
[22]张静,徐政,郑翔,等.SVC抑制SSR的机理及控制器设计[J].南方电网技术,2010,4(3):57-61.ZHANG Jing,XU Zheng,ZHENG Xiang,et al.The principle and design of SVC controller for SSR mitigation[J].Southern Power System Technology,2010,4(3):57-61.