基于广域量测信息相关性的电力系统同调辨识
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摘要
提出一种基于广域量测信息相关性识别电力系统同调机群的新方法。针对同调发电机运动轨迹具有一致性或相似性的特征,借鉴基于电力系统模型确定同调机群的方向余弦法,引入广域量测信息相关性来辨识系统的同调机群,在计算系统中各发电机组间的相关系数基础上,提出了划分系统主导同调机群及主导同调机群内部子同调机群的相关同调判据。同时针对广域量测窗口长度对同调辨识结果的影响,进一步提出一种适用于辨识主导同调机群及主导同调机群内部子同调机群的实用鲁棒同调判据。最后将所提方法应用于典型两区域互联交直流系统和南方电网中,分析结果验证了该方法的有效性和可行性。
This paper presents a novel approach to identify the coherent generator groups in bulk power system using phasor measurement units( PMUs). For the coherent generators performing the same or similar dynamic trajectories in the disturbance,a cross-correlation approach is proposed to identify the dominant coherent groups and the sub dominant coherent groups in the bulk power system by referring to the coherent group identification in the model based on approaches using the direction cosine. In order to suppress the impact of measurement window on the accuracy of the identification,a practical robust criterion of coherency identification is also developed. With the developed criterion,the coherent generator groups are all identified accurately. The results of the two-area interconnected system and China Southern power Grid( CSG) validate the accuracy and validity of the proposed approach.
This paper presents a novel approach to identify the coherent generator groups in bulk power system using phasor measurement units( PMUs). For the coherent generators performing the same or similar dynamic trajectories in the disturbance,a cross-correlation approach is proposed to identify the dominant coherent groups and the sub dominant coherent groups in the bulk power system by referring to the coherent group identification in the model based on approaches using the direction cosine. In order to suppress the impact of measurement window on the accuracy of the identification,a practical robust criterion of coherency identification is also developed. With the developed criterion,the coherent generator groups are all identified accurately. The results of the two-area interconnected system and China Southern power Grid( CSG) validate the accuracy and validity of the proposed approach.
引文
[1]余贻鑫,李鹏.大区电网弱互联对互联系统阻尼和动态稳定性的影响[J].中国电机工程学报,2005,25(11):6-11.Yu Yixin,Li Peng.The impact of weak interconnection of bulk power grids to damping and dynamic stability of power systems[J].Proceedings of the CSEE,2005,25(11):6-11.
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[3]刘蔚,赵勇,吴琛,等.一种提高多小水电群送出能力的PSS参数协调优化方法[J].电力系统保护与控制,2015,43(4):44-50.Liu Wei,Zhao Yong,Wu Chen,et al.A method of PSS parameters coordinated optimization for the improvement of transmission capacities of multiple small hydropower station groups[J].Power System Protection and Control,2015,43(4):44-50.
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[8]耿天翔,张竹竞,项丽,等.基于起振特性的强迫振荡扰动源定位及解列方案[J].电力系统保护与控制,2015,43(6):98-103.Geng Tianxiang,Zhang Zhujing,Xiang Li,et al.A locating and splitting scheme for disturbance source of forced power oscillation based on the propagation characteristic[J].Power System Protection and Control,2015,43(6):98-103.
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[10]Rogers G.Power Systems Oscillations[M].MA:Kluwer,2000.
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[13]谭伟,沈沉,倪敬敏,等.基于轨迹特征根的机组分群方法[J].电力系统自动化,2010,34(18):1-5.Tan Wei,Shen Chen,Ni Jingmin,et al.A generator groups identification method based on trajectory eigenvalues[J].Automation of Electric Power Systems,2010,34(18):1-5.
[14]文俊,刘天琪,李兴源,等.在线识别同调机群的优化支持向量机算法[J].中国电机工程学报,2008,28(25):80-85.Wen Jun,Liu Tianqi,Li Xingyuan,et al.On-line identification of coherent generator using optimized LSSVM[J].Proceedings of the CSEE,2008,28(25):80-85.
[15]Ariff M A M,Pal B C.Coherency identification in interconnected power system—an independent component analysis approach[J].IEEE Transactions on Power Systems,2013,28(2):1747-1755.
[16]潘炜,刘文颖,杨以涵.采用受扰轨迹和独立分量分析技术识别同调机群的方法[J].中国电机工程学报,2008,28(25):86-92.Pan Wei,Liu Wenying,Yang Yihan.Method of identifying coherent generator groups by independent component analysis through perturbed trajectories[J].Proceedings of the CSEE,2008,28(25):86-92.
[17]Anaparthi K K,Chaudhuri B,Thornhill N F.Coherency identification in power systems through principal component analysis[J].IEEE Transactions on Power Systems,2005,20(3):1658-1660.
[18]Avdakovic'S,Bec'irovic'E,Nuhanovic'A,et al.Generator coherency using the wavelet phase difference approach[J].IEEE Transactions on Power Systems,2014,29(1):271-278.
[19]Susuki Y,Mezic'I.Nonlinear Koopman modes and coherency identic'cation of coupled swing dynamics[J].IEEE Transactions on Power Systems,2011,26(4):1894-1904.
[20]Barocio E,Pal B C,Thornhill N F,et al.A dynamic mode decomposition framework for global power system oscillation analysis[J].IEEE Transactions on Power Systems,2015,30(6):2902-2912.
[21]Vahidnia A,Ledwich G,Palmer E,et al.Generator coherency and area detection in large power systems[J].IET Generation Transmission Distribution,2012,6(9):874-883.
[22]Aarts R M,Irwan R,Janssen A J E M.Efficient tracking of the cross-correlation coefficient[J].IEEE Transactions on Speech&Audio Processing,2002,10(6):391-402.
[23]Kunder P.Power system stability and control[M].New York:Mc Graw-Hill,1994.
[24]姜涛,黄河,贾宏杰,等.基于投影寻踪最佳方向的同调机群识别方法[J].中国电机工程学报,2015,35(2):359-367.Jiang Tao,Huang He,Jia Hongjie,et al.Coherency identification through projection pursuit[J].Proceedings of the CSEE,2015,35(2):359-367.
[25]姜涛,贾宏杰,姜懿郎,等.跨区互联电网热稳定安全域边界近似方法[J].电工技术学报,2016,31(8):134-146.Jiang Tao,Jia Hongjie,Jiang Yilang,et al.Approximating method of wide area thermal security region boundary in bulk power system[J].Transactions of China Electrotechnical Society,2016,31(8):134-146.
[26]Jiang Tao,Jia Hongjie,Yuan Haoyu,et al.Projection pursuit:a general methodology of wide-area coherency detection in bulk power grid[J].IEEE Transactions on Power Systems,2016,31(4):2776-2786.
[2]谭谨,王晓茹,李龙源.含大规模风电的电力系统小扰动稳定研究综述[J].电力系统保护与控制,2014,42(3):15-23.Tan Jin,Wang Xiaoru,Li Longyuan.A survey on small signal stability analysis of power systems with wind power integration[J].Power System Protection and Control,2014,42(3):15-23.
[3]刘蔚,赵勇,吴琛,等.一种提高多小水电群送出能力的PSS参数协调优化方法[J].电力系统保护与控制,2015,43(4):44-50.Liu Wei,Zhao Yong,Wu Chen,et al.A method of PSS parameters coordinated optimization for the improvement of transmission capacities of multiple small hydropower station groups[J].Power System Protection and Control,2015,43(4):44-50.
[4]方勇杰.跨区互联电网紧急控制技术未来发展分析[J].电力系统自动化,2011,35(15):1-6.Fang Yongjie.Analysis on Trends in emergency control technology of cross-regional interconnected power systems[J].Automation of Electric Power Systems,2011,35(15):1-6.
[5]许剑冰,薛禹胜,张启平,等.电力系统同调动态等值的评述[J].电力系统自动化,2005,29(14):91-95.Xu Jianbing,Xue Yusheng,Zhang Qiping,et al.A critical review on coherency-based dynamic equivalences[J].Automation of Electric Power Systems,2005,29(14):91-95.
[6]唐飞,贾骏,刘涤尘,等.一种考虑发电机同调分群的大电网快速主动解列策略[J].电工技术学报,2016,31(17):32-40.Tang Fei,Jia Jun,Liu Dichen,et al.A fast active islanding scheme considering generators coherent partition[J].Transactions of China Electrotechnical Society,2016,31(17):32-40.
[7]丁磊,郭一忱,陈青,等.电力系统主动解列的可行解列时窗研究[J].电工技术学报,2015,30(12):415-421.Ding Lei,Guo Yichen,Chen Qing,et al.Research on feasible splitting time interval of controlled islanding[J].Transactions of China Electrotechnical Society,2015,30(12):415-421.
[8]耿天翔,张竹竞,项丽,等.基于起振特性的强迫振荡扰动源定位及解列方案[J].电力系统保护与控制,2015,43(6):98-103.Geng Tianxiang,Zhang Zhujing,Xiang Li,et al.A locating and splitting scheme for disturbance source of forced power oscillation based on the propagation characteristic[J].Power System Protection and Control,2015,43(6):98-103.
[9]Xu Guangyue,Vittal V.Slow coherency based cutset determination algorithm for large power systems[J].IEEE Transaction on Power Systems,2010,25(2):877-884.
[10]Rogers G.Power Systems Oscillations[M].MA:Kluwer,2000.
[11]倪向萍,梅生伟.基于复杂网络社团结构理论的同调等值算法[J].电力系统自动化,2008,32(7):11-15.Ni Xiangping,Mei Shengwei.Coherency-based dynamic equivalence algorithm with community structure of complex network theory[J].Automation of Electric Power Systems,2008,32(7):11-15.
[12]倪敬敏,沈沉,谭伟,等.一种基于非平衡点处线性化的同调识别方法[J].电力系统自动化,2010,34(20):7-12.Ni Jingmin,Shen Chen,Tan Wei,et al.A coherence identifying method based on linearization at nonequilibrium point[J].Automation of Electric Power Systems,2010,34(20):7-12.
[13]谭伟,沈沉,倪敬敏,等.基于轨迹特征根的机组分群方法[J].电力系统自动化,2010,34(18):1-5.Tan Wei,Shen Chen,Ni Jingmin,et al.A generator groups identification method based on trajectory eigenvalues[J].Automation of Electric Power Systems,2010,34(18):1-5.
[14]文俊,刘天琪,李兴源,等.在线识别同调机群的优化支持向量机算法[J].中国电机工程学报,2008,28(25):80-85.Wen Jun,Liu Tianqi,Li Xingyuan,et al.On-line identification of coherent generator using optimized LSSVM[J].Proceedings of the CSEE,2008,28(25):80-85.
[15]Ariff M A M,Pal B C.Coherency identification in interconnected power system—an independent component analysis approach[J].IEEE Transactions on Power Systems,2013,28(2):1747-1755.
[16]潘炜,刘文颖,杨以涵.采用受扰轨迹和独立分量分析技术识别同调机群的方法[J].中国电机工程学报,2008,28(25):86-92.Pan Wei,Liu Wenying,Yang Yihan.Method of identifying coherent generator groups by independent component analysis through perturbed trajectories[J].Proceedings of the CSEE,2008,28(25):86-92.
[17]Anaparthi K K,Chaudhuri B,Thornhill N F.Coherency identification in power systems through principal component analysis[J].IEEE Transactions on Power Systems,2005,20(3):1658-1660.
[18]Avdakovic'S,Bec'irovic'E,Nuhanovic'A,et al.Generator coherency using the wavelet phase difference approach[J].IEEE Transactions on Power Systems,2014,29(1):271-278.
[19]Susuki Y,Mezic'I.Nonlinear Koopman modes and coherency identic'cation of coupled swing dynamics[J].IEEE Transactions on Power Systems,2011,26(4):1894-1904.
[20]Barocio E,Pal B C,Thornhill N F,et al.A dynamic mode decomposition framework for global power system oscillation analysis[J].IEEE Transactions on Power Systems,2015,30(6):2902-2912.
[21]Vahidnia A,Ledwich G,Palmer E,et al.Generator coherency and area detection in large power systems[J].IET Generation Transmission Distribution,2012,6(9):874-883.
[22]Aarts R M,Irwan R,Janssen A J E M.Efficient tracking of the cross-correlation coefficient[J].IEEE Transactions on Speech&Audio Processing,2002,10(6):391-402.
[23]Kunder P.Power system stability and control[M].New York:Mc Graw-Hill,1994.
[24]姜涛,黄河,贾宏杰,等.基于投影寻踪最佳方向的同调机群识别方法[J].中国电机工程学报,2015,35(2):359-367.Jiang Tao,Huang He,Jia Hongjie,et al.Coherency identification through projection pursuit[J].Proceedings of the CSEE,2015,35(2):359-367.
[25]姜涛,贾宏杰,姜懿郎,等.跨区互联电网热稳定安全域边界近似方法[J].电工技术学报,2016,31(8):134-146.Jiang Tao,Jia Hongjie,Jiang Yilang,et al.Approximating method of wide area thermal security region boundary in bulk power system[J].Transactions of China Electrotechnical Society,2016,31(8):134-146.
[26]Jiang Tao,Jia Hongjie,Yuan Haoyu,et al.Projection pursuit:a general methodology of wide-area coherency detection in bulk power grid[J].IEEE Transactions on Power Systems,2016,31(4):2776-2786.