基于遗传模拟退火算法的SEDC与SSDC控制参数的协调优化
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摘要
针对高压直流输电系统中出现的次同步振荡(sub-synchronous oscillation,SSO)问题,利用遗传模拟退火(generation simulated anneal,GASA)算法协调优化了附加励磁阻尼控制器(supplementary excitation damping controller,SEDC)和直流次同步阻尼控制器(sub-synchronous oscillation damping controller,SSDC)的控制参数。首先基于特征值分析法,将控制参数的协同优化抽象为一个非线性规划问题;然后针对所研究的系统,建立包含SEDC和SSDC的系统状态方程,进而运用GASA算法进行求解;最后通过系统特征值分析和PSCAD仿真验证了优化参数的有效性。研究表明:协调优化后的SEDC和SSDC可以显著减小系统特征根的实部,有效抑制SSO,保证电网的安全稳定运行。
To cope with the sub-synchronous oscillation(SSO) in HVDC power transmission system, the coordinated optimization of parameters of supplementary excitation damping controller(SEDC) with parameters of sub-synchronous oscillation damping controller(SSDC) is performed by genetic and simulated annealing algorithm. Firstly, based on the eigenvalue analysis the coordinated optimization of control parameters is abstracted to a non-linear programming problem; secondly, according to the researched system the state equations of a system containing SEDC and SSDC is established and solved by genetic and simulated annealing algorithm; finally, the effective of the optimized parameters are validated by eigenvalue analysis of the researched system and the results of PSCAD based simulation. Research results show that using the post-optimization parameters of SEDC and SSDC the real part of the eigenroot can be evidently decreased, thus the SSO can be effectively suppressed and the secure and stable operation of the HVDC transmission system can be ensured.
To cope with the sub-synchronous oscillation(SSO) in HVDC power transmission system, the coordinated optimization of parameters of supplementary excitation damping controller(SEDC) with parameters of sub-synchronous oscillation damping controller(SSDC) is performed by genetic and simulated annealing algorithm. Firstly, based on the eigenvalue analysis the coordinated optimization of control parameters is abstracted to a non-linear programming problem; secondly, according to the researched system the state equations of a system containing SEDC and SSDC is established and solved by genetic and simulated annealing algorithm; finally, the effective of the optimized parameters are validated by eigenvalue analysis of the researched system and the results of PSCAD based simulation. Research results show that using the post-optimization parameters of SEDC and SSDC the real part of the eigenroot can be evidently decreased, thus the SSO can be effectively suppressed and the secure and stable operation of the HVDC transmission system can be ensured.
引文
[1]田旭,姜齐荣,谢小荣.电力系统次同步谐振抑制措施综述[J].电网技术,2010,34(12):74-79.Tian Xu,Jiang Qirong,Xie Xiaorong.Review of measures to mitigate subsynchronous resonance in power systems[J].Power System Technology,2010,34(12):74-79(in Chinese).
[2]Wan Q L,Zhang X P,Wang B B.Study on the SSO caused by HVDC link in hybrid AC-DC power system[C]//9th IET International Conference on AC and DC Power Transmission.London:IET,2010:1-5.
[3]徐政,祝瑞金,罗惠群.华东电网次同步振荡特性研究[J].电网技术,1999,23(7):20-23.Xu Zheng,Zhu Ruijin,Luo Huiqun.SSO characteristics in east China electric power system[J].Power System Technology,1999,23(7):20-23(in Chinese).
[4]张帆,徐政.附加励磁阻尼控制器抑制次同步谐振研究[J].电力系统自动化,2007,31(23):24-29.Zhang Fan,Xu Zheng.Studies on a supplementary excitation damping controller for mitigating SSR[J].Automation of Electric Power Systems,2007,31(23):24-29(in Chinese).
[5]Zhao Dawei.Performance verification of SEDC equipment for damping multimodal SSR[C]//Innovative Smart Grid TechnologiesAsia(ISGT Asia).Tianjin:IEEE,2012:1-5.
[6]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(in Chinese).
[7]董柏锋,李周,万秋兰.基于SEDC和SSDC抑制HVDC系统SSO的研究[J].电力系统保护与控制,2011,39(9):77-82.Dong Baifeng,Li Zhou,Wan Qiulan.Suppress SSO of HVDC system using SEDC and SSDC[J].Power System Protection and Control,2011,39(9):77-82(in Chinese).
[8]谢小荣,武云生,林惊涛,等.采用遗传—模拟退火算法优化设计SVC次同步阻尼控制器[J].电力系统自动化,2009,33(19):11-14.Xie Xiaorong,Wu Yunsheng,Lin Jingtao.Optimal design of SVC subsynchronous damping controller using genetic and simulated annealing algorithm[J].Automation of Electric Power Systems,2009,33(19):11-14(in Chinese).
[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 subsynchronous damping controller using genetic algorithms[J].Proceedings of the CSEE,2002,22(11):87-91(in Chinese).
[10]顾威,李兴源,王渝红,等.基于改进粒子群算法的次同步阻尼控制器设计[J].电网技术,2010,34(8):52-56.Gu Wei,Li Xingyuan,Wang Yuhong,et al.Design of subsynchronous damping controller based on improved particle swarm optimization algorithm[J].Power System Technology,2010,34(8):52-56(in Chinese).
[11]Dong Xiaoliang,Xie Xiaorong,Han Yingduo.Coordinated parameters design of SEDC and GTSDC for SSR mitigation[C]//2014IEEE PES General Meeting Conference&Exposition.National Harbor,MD:IEEE,2014:1-5.
[12]Vuorenpaa P,Rauhala T,Jarventausta P.Applying EMT analysis based target function approach for designing SSDC implementation for TCSC[C]//2010 Proceedings of the International Symposium Modern Electric Power Systems.Wroclaw:IEEE,2010:1-6.
[13]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(in Chinese).
[14]黄北军.高压直流输电系统的次同步振荡分析与控制[D].成都:西南交通大学,2008.
[15]HSU Y Y,JENG H.Damping of subsynchronous oscillations using adaptive controllers tuned by artificial neutral networks[J].IEE Proceedings of Generation Transmission and Distribution,1995,142(4):415-422.
[16]高本峰,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.Design and implementation of SSDC for HVDC[J].High Voltage Engineering,2010,36(2):501-506(in Chinese).
[17]张远取,谢小荣,姜齐荣.应用附加励磁阻尼控制抑制HVDC引起的次同步振荡[J].电力系统保护与控制,2010,38(4):1-5.Zhang Yuanqu,Xie Xiaorong,Jiang Qirong.Application of supplementary excitation damping control for suppression of subsynchronous oscillation caused by HVDC[J].Power System Protection and Control,2010,38(4):1-5(in Chinese).
[18]王凌,郑大钟.一种GASA混合优化策略[J].控制理论与应用,2001,18(4):552-555.Wang Ling,Zheng Dazhong.A kind of GASA hybrid optimization strategy[J].Control Theory and Applications,2001,18(4):552-554(in Chinese).
[19]孙扬声.自动控制理论[M].北京:中国电力出版社,2007:125-134.
[20]肖湘宁,杨琳,张丹.基于特征值法的次同步阻尼守恒特性分析[J].电网技术,2011,35(11):80-84.Xiao Xiangning,Yang Lin,Zhang Dan.Analysis on subsynchronous damping conservation character based on eigenvalue method[J].Power System Technology,2011,35(11):80-84(in Chinese).
[2]Wan Q L,Zhang X P,Wang B B.Study on the SSO caused by HVDC link in hybrid AC-DC power system[C]//9th IET International Conference on AC and DC Power Transmission.London:IET,2010:1-5.
[3]徐政,祝瑞金,罗惠群.华东电网次同步振荡特性研究[J].电网技术,1999,23(7):20-23.Xu Zheng,Zhu Ruijin,Luo Huiqun.SSO characteristics in east China electric power system[J].Power System Technology,1999,23(7):20-23(in Chinese).
[4]张帆,徐政.附加励磁阻尼控制器抑制次同步谐振研究[J].电力系统自动化,2007,31(23):24-29.Zhang Fan,Xu Zheng.Studies on a supplementary excitation damping controller for mitigating SSR[J].Automation of Electric Power Systems,2007,31(23):24-29(in Chinese).
[5]Zhao Dawei.Performance verification of SEDC equipment for damping multimodal SSR[C]//Innovative Smart Grid TechnologiesAsia(ISGT Asia).Tianjin:IEEE,2012:1-5.
[6]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(in Chinese).
[7]董柏锋,李周,万秋兰.基于SEDC和SSDC抑制HVDC系统SSO的研究[J].电力系统保护与控制,2011,39(9):77-82.Dong Baifeng,Li Zhou,Wan Qiulan.Suppress SSO of HVDC system using SEDC and SSDC[J].Power System Protection and Control,2011,39(9):77-82(in Chinese).
[8]谢小荣,武云生,林惊涛,等.采用遗传—模拟退火算法优化设计SVC次同步阻尼控制器[J].电力系统自动化,2009,33(19):11-14.Xie Xiaorong,Wu Yunsheng,Lin Jingtao.Optimal design of SVC subsynchronous damping controller using genetic and simulated annealing algorithm[J].Automation of Electric Power Systems,2009,33(19):11-14(in Chinese).
[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 subsynchronous damping controller using genetic algorithms[J].Proceedings of the CSEE,2002,22(11):87-91(in Chinese).
[10]顾威,李兴源,王渝红,等.基于改进粒子群算法的次同步阻尼控制器设计[J].电网技术,2010,34(8):52-56.Gu Wei,Li Xingyuan,Wang Yuhong,et al.Design of subsynchronous damping controller based on improved particle swarm optimization algorithm[J].Power System Technology,2010,34(8):52-56(in Chinese).
[11]Dong Xiaoliang,Xie Xiaorong,Han Yingduo.Coordinated parameters design of SEDC and GTSDC for SSR mitigation[C]//2014IEEE PES General Meeting Conference&Exposition.National Harbor,MD:IEEE,2014:1-5.
[12]Vuorenpaa P,Rauhala T,Jarventausta P.Applying EMT analysis based target function approach for designing SSDC implementation for TCSC[C]//2010 Proceedings of the International Symposium Modern Electric Power Systems.Wroclaw:IEEE,2010:1-6.
[13]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(in Chinese).
[14]黄北军.高压直流输电系统的次同步振荡分析与控制[D].成都:西南交通大学,2008.
[15]HSU Y Y,JENG H.Damping of subsynchronous oscillations using adaptive controllers tuned by artificial neutral networks[J].IEE Proceedings of Generation Transmission and Distribution,1995,142(4):415-422.
[16]高本峰,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.Design and implementation of SSDC for HVDC[J].High Voltage Engineering,2010,36(2):501-506(in Chinese).
[17]张远取,谢小荣,姜齐荣.应用附加励磁阻尼控制抑制HVDC引起的次同步振荡[J].电力系统保护与控制,2010,38(4):1-5.Zhang Yuanqu,Xie Xiaorong,Jiang Qirong.Application of supplementary excitation damping control for suppression of subsynchronous oscillation caused by HVDC[J].Power System Protection and Control,2010,38(4):1-5(in Chinese).
[18]王凌,郑大钟.一种GASA混合优化策略[J].控制理论与应用,2001,18(4):552-555.Wang Ling,Zheng Dazhong.A kind of GASA hybrid optimization strategy[J].Control Theory and Applications,2001,18(4):552-554(in Chinese).
[19]孙扬声.自动控制理论[M].北京:中国电力出版社,2007:125-134.
[20]肖湘宁,杨琳,张丹.基于特征值法的次同步阻尼守恒特性分析[J].电网技术,2011,35(11):80-84.Xiao Xiangning,Yang Lin,Zhang Dan.Analysis on subsynchronous damping conservation character based on eigenvalue method[J].Power System Technology,2011,35(11):80-84(in Chinese).