基于幂级数展开的电力系统戴维南等值参数跟踪算法
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摘要
针对传统电力系统戴维南等值参数计算方法中存在的弊端,提出一种基于幂级数展开的戴维南等值参数跟踪算法。该算法假设在相邻采样时刻内系统戴维南等值参数幅值不变,利用幂级数展开式跟踪系统戴维南等值参数,不仅有效避免了参数漂移问题,而且能较大程度地反映等值系统内部负荷扰动。同时,该算法在系统三相短路故障后能瞬间恢复对戴维南等值参数的准确跟踪,即适用于系统短路故障切除后的暂态过程。最后,分别通过在简单双母线算例系统和IEEE39节点算例系统中的仿真验证了所提算法的鲁棒性和准确性。
Aiming at the shortcomings of the traditional power system's Thevenin equivalent parameter calculation method, this paper puts forward a tracing algorithm for the Thevenin equivalent parameters based on power series expansion. The algorithm assumes that the amplitude of the system's Thevenin equivalent parameters is constant during the adjacent sampling time, and uses the power series expansion to track the Thevenin equivalent parameters. The algorithm not only effectively avoids the parameter drift problem, but also reflects internal load disturbance of the equivalent system to a large extent. At the same time, the algorithm can instantly restore the accurate tracking of the Thevenin equivalent parameter after the system three-phase short-circuit fault, which is available for the transient process after the system short-circuit fault is removed. Finally, the robustness and accuracy of the proposed algorithm are verified by simulations in a simple double bus example system and an IEEE39 node example system.
Aiming at the shortcomings of the traditional power system's Thevenin equivalent parameter calculation method, this paper puts forward a tracing algorithm for the Thevenin equivalent parameters based on power series expansion. The algorithm assumes that the amplitude of the system's Thevenin equivalent parameters is constant during the adjacent sampling time, and uses the power series expansion to track the Thevenin equivalent parameters. The algorithm not only effectively avoids the parameter drift problem, but also reflects internal load disturbance of the equivalent system to a large extent. At the same time, the algorithm can instantly restore the accurate tracking of the Thevenin equivalent parameter after the system three-phase short-circuit fault, which is available for the transient process after the system short-circuit fault is removed. Finally, the robustness and accuracy of the proposed algorithm are verified by simulations in a simple double bus example system and an IEEE39 node example system.
引文
[1]HOU Kaiyuan,SHAO Guanghui,WANG Haiming,et al.Research on practical power system stability analysis algorithm based on modified SVM[J].Protection and Control of Modern Power Systems,2018,2(2):3-11.DOI:10.1186/s41601-018-0086-0.
[2]颜廷鑫,刘光晔,谢冬冬.计及发电机运行极限的电压稳定临界点计算[J].电力系统及其自动化学报,2017,29(8):119-125.YAN Tingxin,LIU Guangye,XIE Dongdong.Calculation of voltage stability critical point considering generator capability limits[J].Proceedings of the CSU-EPSA,2017,29(8):119-125.
[3]LIU Jian Hong,CHU C C.Wide-area measurementbased voltage stability Indicator by modified coupled single-port models[J].IEEE Transactions on Power Systems,2014,29(2):756-764.
[4]赵建伟,严正,徐潇源,等.戴维南等值参数时域仿真跟踪算法分析与改进[J].电力自动化设备,2017,37(7):115-122.ZHAO Jianwei,YAN Zheng,XU Xiaoyuan,et al.Analysis and improvement of Thevenin equivalent parameter tracking based on time domain simulation[J].Electric Power Automation Equipment,2017,37(7):115-122.
[5]梁辰,刘道伟,焦彦军.基于改进动态阻抗法的电网静态电压稳定裕度快速评估[J].电力系统保护与控制,2017,45(24):44-49.LIANG Chen,LIU Daowei,JIAO Yanjun.Rapid evaluation of power system static voltage stability margin based on improved dynamic impedance[J].Power System Protection and Control,2017,45(24):44-49.
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[7]赵金利,余贻鑫,ZHANG Pei.基于本地相量测量的电压失稳指标工作条件分析[J].电力系统自动化,2006,30(24):1-4.ZHAO Jinli,YU Yixin,ZHANG Pei.Condition of applying voltage instability predictor based on local measurements[J].Automation of Electric Power Systems,2006,30(24):1-4.
[8]李来福,柳进,于继来,等.节点戴维南等值参数在线跟踪简捷算法[J].中国电机工程学报,2006,26(10):40-44.LI Laifu,LIU Jin,YU Jilai,et al.A simple and direct method of on-line tracking Thevenin equivalent parameters of load node[J].Proceedings of the CSEE,2006,26(10):40-44.
[9]HASHMI M U,CHOUDHARY R,PRIOLKAR J G.Online Thevenin equivalent parameter estimation using nonlinear and linear recursive least square algorithm[C]//IEEE international conference on Electrical,Computer and Communication Technologies,March 5-7,2015,Coimbatore,India:1-6.
[10]李卫星,牟晓明,李志民.电力系统戴维南等值参数的解析与思考[J].中国电机工程学报,2012,32(增刊):28-34.LI Weixing,MOU Xiaoming,LI Zhimin.Analysis and thoughts on the Thevenin equivalent parameters for power system[J].Proceedings of the CSEE,2012,32(S):28-34.
[11]汤涌,孙华东,易俊,等.基于全微分的戴维南等值参数跟踪算法[J].中国电机工程学报,2009,29(13):48-53.TANG Yong,SUN Huadong,YI Jun,et al.Tracing algorithm for Thevenin equivalent parameters based on complete differential equation[J].Proceedings of the CSEE,2009,29(13):48-53.
[12]CORSI S,TARANTO G N.A real-time voltage instability identification algorithm based on local phasor measurements[J].IEEE Transactions on Power Systems,2008,23(3):1271-1279.
[13]孙华东,陈树勇,常晓鹏,等.适应大扰动的电力系统戴维南等值参数跟踪算法[J].中国电机工程学报,2012,32(8):126-132.SUN Huadong,CHEN Shuyong,CHANG Xiaopeng,et al.A tracing algorithm of Thevenin equivalent parameters for power systems with large disturbance[J].Proceedings of the CSEE,2012,32(8):126-132.
[14]汤涌,易俊,侯俊贤,等.基于时域仿真的戴维南等值参数跟踪计算方法[J].中国电机工程学报,2010,30(34):63-68.TANG Yong,YI Jun,HOU Junxian,et al.Calculation method for Thevenin equivalent parameters based on time domain simulation[J].Proceedings of the CSEE,2010,30(34):63-68.
[15]WANG Yunfei,PORDANJANI I R,LI Weixing,et al.Voltage stability monitoring based on the concept of coupled single-port circuit[J].IEEE Transactions on Power Systems,2011,26(4):2154-2163.
[16]颜廷鑫,刘光晔,肖白雪,等.基于动态等效电路的含DG电力系统电压稳定性分析[J].电力系统保护与控制,2017,45(6):74-79.YAN Tingxin,LIU Guangye,XIAO Baixue,et al.Voltage stability analysis of power system with DGs based on dynamic equivalent circuit[J].Power System Protection and Control,2017,45(6):74-79.
[17]罗岩菲,刘光晔,谢冬冬,等.基于动态分析方法的电网N-1关键支路识别[J].电力系统保护与控制,2017,45(13):1-6.LUO Yanfei,LIU Guangye,XIE Dongdong,et al.Power grid N-1 key branch identification based on dynamic analysis method[J].Power System Protection and Control,2017,45(13):1-6.
[18]李来福,于继来,柳焯.戴维南等值跟踪的参数漂移问题研究[J].中国电机工程学报,2005,25(20):1-5.LI Laifu,YU Jilai,LIU Zhuo.Research on parameters drift problem in tracking Thevenin equivalent[J].Proceedings of the CSEE,2005,25(20):1-5.
[19]李东东,尹睿,杨银台,等.考虑系统内部扰动的戴维南等值参数跟踪方法[J].电网技术,2017,41(8):2528-2536.LI Dongdong,YIN Rui,YANG Yintai,et al.Online tracking of Thevenin parameters considering system side changes[J].Power System Technology,2017,41(8):2528-2536.
[20]MATAVALAM A R R,AJJARAPU V.Sensitivity based Thevenin index with systematic inclusion of reactive power limits[J].IEEE Transactions on Power Systems,2017,33(1):932-942.
[21]闫常友,周孝信.电力系统三相短路故障临界切除时间求解方法的在线应用[J].电网技术,2009,33(17):56-63.YAN Changyou,ZHOU Xiaoxin.Online application of solving method for critical clearing time of three-phase short circuit in power system[J].Power System Technology,2009,33(17):56-63.
[2]颜廷鑫,刘光晔,谢冬冬.计及发电机运行极限的电压稳定临界点计算[J].电力系统及其自动化学报,2017,29(8):119-125.YAN Tingxin,LIU Guangye,XIE Dongdong.Calculation of voltage stability critical point considering generator capability limits[J].Proceedings of the CSU-EPSA,2017,29(8):119-125.
[3]LIU Jian Hong,CHU C C.Wide-area measurementbased voltage stability Indicator by modified coupled single-port models[J].IEEE Transactions on Power Systems,2014,29(2):756-764.
[4]赵建伟,严正,徐潇源,等.戴维南等值参数时域仿真跟踪算法分析与改进[J].电力自动化设备,2017,37(7):115-122.ZHAO Jianwei,YAN Zheng,XU Xiaoyuan,et al.Analysis and improvement of Thevenin equivalent parameter tracking based on time domain simulation[J].Electric Power Automation Equipment,2017,37(7):115-122.
[5]梁辰,刘道伟,焦彦军.基于改进动态阻抗法的电网静态电压稳定裕度快速评估[J].电力系统保护与控制,2017,45(24):44-49.LIANG Chen,LIU Daowei,JIAO Yanjun.Rapid evaluation of power system static voltage stability margin based on improved dynamic impedance[J].Power System Protection and Control,2017,45(24):44-49.
[6]VU K,BEGOVIC M,NOVOSEL D,et al.Use of local measurements to estimate voltage stability margin[J].IEEE Transactions on Power Systems,1999,14(3):1029-1035.
[7]赵金利,余贻鑫,ZHANG Pei.基于本地相量测量的电压失稳指标工作条件分析[J].电力系统自动化,2006,30(24):1-4.ZHAO Jinli,YU Yixin,ZHANG Pei.Condition of applying voltage instability predictor based on local measurements[J].Automation of Electric Power Systems,2006,30(24):1-4.
[8]李来福,柳进,于继来,等.节点戴维南等值参数在线跟踪简捷算法[J].中国电机工程学报,2006,26(10):40-44.LI Laifu,LIU Jin,YU Jilai,et al.A simple and direct method of on-line tracking Thevenin equivalent parameters of load node[J].Proceedings of the CSEE,2006,26(10):40-44.
[9]HASHMI M U,CHOUDHARY R,PRIOLKAR J G.Online Thevenin equivalent parameter estimation using nonlinear and linear recursive least square algorithm[C]//IEEE international conference on Electrical,Computer and Communication Technologies,March 5-7,2015,Coimbatore,India:1-6.
[10]李卫星,牟晓明,李志民.电力系统戴维南等值参数的解析与思考[J].中国电机工程学报,2012,32(增刊):28-34.LI Weixing,MOU Xiaoming,LI Zhimin.Analysis and thoughts on the Thevenin equivalent parameters for power system[J].Proceedings of the CSEE,2012,32(S):28-34.
[11]汤涌,孙华东,易俊,等.基于全微分的戴维南等值参数跟踪算法[J].中国电机工程学报,2009,29(13):48-53.TANG Yong,SUN Huadong,YI Jun,et al.Tracing algorithm for Thevenin equivalent parameters based on complete differential equation[J].Proceedings of the CSEE,2009,29(13):48-53.
[12]CORSI S,TARANTO G N.A real-time voltage instability identification algorithm based on local phasor measurements[J].IEEE Transactions on Power Systems,2008,23(3):1271-1279.
[13]孙华东,陈树勇,常晓鹏,等.适应大扰动的电力系统戴维南等值参数跟踪算法[J].中国电机工程学报,2012,32(8):126-132.SUN Huadong,CHEN Shuyong,CHANG Xiaopeng,et al.A tracing algorithm of Thevenin equivalent parameters for power systems with large disturbance[J].Proceedings of the CSEE,2012,32(8):126-132.
[14]汤涌,易俊,侯俊贤,等.基于时域仿真的戴维南等值参数跟踪计算方法[J].中国电机工程学报,2010,30(34):63-68.TANG Yong,YI Jun,HOU Junxian,et al.Calculation method for Thevenin equivalent parameters based on time domain simulation[J].Proceedings of the CSEE,2010,30(34):63-68.
[15]WANG Yunfei,PORDANJANI I R,LI Weixing,et al.Voltage stability monitoring based on the concept of coupled single-port circuit[J].IEEE Transactions on Power Systems,2011,26(4):2154-2163.
[16]颜廷鑫,刘光晔,肖白雪,等.基于动态等效电路的含DG电力系统电压稳定性分析[J].电力系统保护与控制,2017,45(6):74-79.YAN Tingxin,LIU Guangye,XIAO Baixue,et al.Voltage stability analysis of power system with DGs based on dynamic equivalent circuit[J].Power System Protection and Control,2017,45(6):74-79.
[17]罗岩菲,刘光晔,谢冬冬,等.基于动态分析方法的电网N-1关键支路识别[J].电力系统保护与控制,2017,45(13):1-6.LUO Yanfei,LIU Guangye,XIE Dongdong,et al.Power grid N-1 key branch identification based on dynamic analysis method[J].Power System Protection and Control,2017,45(13):1-6.
[18]李来福,于继来,柳焯.戴维南等值跟踪的参数漂移问题研究[J].中国电机工程学报,2005,25(20):1-5.LI Laifu,YU Jilai,LIU Zhuo.Research on parameters drift problem in tracking Thevenin equivalent[J].Proceedings of the CSEE,2005,25(20):1-5.
[19]李东东,尹睿,杨银台,等.考虑系统内部扰动的戴维南等值参数跟踪方法[J].电网技术,2017,41(8):2528-2536.LI Dongdong,YIN Rui,YANG Yintai,et al.Online tracking of Thevenin parameters considering system side changes[J].Power System Technology,2017,41(8):2528-2536.
[20]MATAVALAM A R R,AJJARAPU V.Sensitivity based Thevenin index with systematic inclusion of reactive power limits[J].IEEE Transactions on Power Systems,2017,33(1):932-942.
[21]闫常友,周孝信.电力系统三相短路故障临界切除时间求解方法的在线应用[J].电网技术,2009,33(17):56-63.YAN Changyou,ZHOU Xiaoxin.Online application of solving method for critical clearing time of three-phase short circuit in power system[J].Power System Technology,2009,33(17):56-63.
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