戴维南等值参数时域仿真跟踪算法分析与改进
|
摘要
从物理意义和数学假设两方面对现有的2种基于时域仿真的戴维南等值参数跟踪算法进行了详细的分析,揭示了两者共同的本质和算法实现上的差异。针对系统中所有负荷节点的处理方式,对现有2种算法进行了修正,使两者在物理本质、数学前提和计算结果三方面实现了统一。在统一现有算法的基础上,为了尽量减小"两状态法"可能带来的误差,以原算法的前提假设为出发点,对不同类型的发电机节点和负荷节点分别按照不同的方式进行处理,提出了改进的戴维南等值参数时域仿真跟踪算法。以等阻抗模判据为依据,通过稳态和暂态实例验证了改进算法能够更加准确地判断电力系统的电压稳定性。
Two existing algorithms of Thevenin equivalent parameter tracking based on time-domain simulation are analyzed in the aspects of physical significance and mathematical assumption to reveal the implementation difference between two algorithms as well as their common essence. Both algorithms are modified and unified in physical essence,mathematical premise and calculative result for handling all the load nodes of system. Based on the unified algorithms,an improved algorithm of Thevenin equivalent parameter tracking based on time-domain simulation is proposed,which,based on its premises,handles different types of generation node and load node in different approaches to minimize the possible errors induced by "two-state method". Based on the equal-impedance criterion,case study for steady-state and transient conditions verifies that the improved algorithm can judge the voltage stability of power system more accurately.
Two existing algorithms of Thevenin equivalent parameter tracking based on time-domain simulation are analyzed in the aspects of physical significance and mathematical assumption to reveal the implementation difference between two algorithms as well as their common essence. Both algorithms are modified and unified in physical essence,mathematical premise and calculative result for handling all the load nodes of system. Based on the unified algorithms,an improved algorithm of Thevenin equivalent parameter tracking based on time-domain simulation is proposed,which,based on its premises,handles different types of generation node and load node in different approaches to minimize the possible errors induced by "two-state method". Based on the equal-impedance criterion,case study for steady-state and transient conditions verifies that the improved algorithm can judge the voltage stability of power system more accurately.
引文
[1]KESSEL P,GLAVITSCH H.Estimating the voltage stability of a power system[J].IEEE Transactions on Power Delivery,1986,1(3):346-354.
[2]OHTSUKA K,YOKOKAWA S,TANAKA H,et al.An equivalent of multi-machine power systems and its identification for on-line application to decentralized stabilizers[J].IEEE Transactions on Power Systems,1989,4(2):687-693.
[3]CHEBBO A M,IRVING M R,STERLING M J H.Voltage collapse proximity indicator:behaviour and implications[J].IEE Proceedings C-Generation,Transmission and Distribution,1992,139(3):241-252.
[4]HAQUE M H.A fast method for determining the voltage stability limit of a power system[J].Electric Power System Research,1995,32(1):35-43.
[5]VU K,BEGOVIC M M,NOVOSEL D,et al.Use of local measurement to estimate voltage stability margin[J].IEEE Transactions on Power Systems,1999,14(3):1029-1035.
[6]FUSCO G,LOSI A,RUSSO M.Constrained least squares methods for parameter tracking of power system steady-state equivalent circuits[J].IEEE Transactions on Power Delivery,2000,15(3):1073-1080.
[7]MILOSEVIC B,BEGOVIC M.Voltage-stability protection and control using a wide-area network of phasor measurements[J].IEEE Transactions on Power Systems,2003,18(1):121-127.
[8]VERBIC G,GUBINA F.A new concept of voltage-collapse protection based on local phasors[J].IEEE Transactions on Power Delivery,2004,19(2):576-581.
[9]王漪,柳焯.基于戴维南等值的系统参数跟踪估计[J].电网技术,2000,24(11):28-30.WANG Yi,LIU Zhuo.Tracking and estimation of system parameter using Thevenin’s equivalent[J].Power System Technology,2000,24(11):28-30.
[10]王芝茗,王漪,徐敬有,等.关键负荷节点集合电网侧戴维南参数预估[J].中国电机工程学报,2002,22(2):16-20.WANG Zhiming,WANG Yi,XU Jingyou,et al.Prediction of Thevenin’s equivalent parameters on electrical power network side for the muster of key load nodes[J].Proceedings of the CSEE,2002,22(2):16-20.
[11]李娟,刘修宽,曹国臣,等.一种面向节点的电网等值参数跟踪估计方法的研究[J].中国电机工程学报,2003,23(3):30-33.LI Juan,LIU Xiukuan,CAO Guochen,et al.A tracking estimation method for network equivalent parameters of facing the node[J].Proceedings of the CSEE,2003,23(3):30-33.
[12]傅旭,王锡凡.电力系统静态电压稳定性在线监控(一)——一种可在线应用的计及负荷静态特性的电压稳定指标[J].电力自动化设备,2005,25(8):23-26.FU Xu,WANG Xifan.On-line voltage stability monitoring for electric power system part 1:on-line voltage stability index considering load static characteristics[J].Electric Power Automation Equipment,2005,25(8):23-26.
[13]刘明松,张伯明,姚良忠,等.基于PMU和改进戴维南等值模型的电压稳定在线监视[J].电力系统自动化,2009,33(10):6-10.LIU Mingsong,ZHANG Boming,YAO Liangzhong,et al.On-line voltage stability monitoring based on PMU and improved Thevenin equivalent model[J].Automation of Electric Power Systems,2009,33(10):6-10.
[14]罗华伟,吴政球,戴庆华,等.电网戴维南等值参数的快速计算[J].中国电机工程学报,2009,29(1):35-39.LUO Huawei,WU Zhengqiu,DAI Qinghua,et al.Fast computation of Thevenin equivalent parameters[J].Proceedings of the CSEE,2009,29(1):35-39.
[15]郑飞平,刘宝柱.电压稳定临界参数的异步接替求取策略[J].电力自动化设备,2011,31(3):98-102.ZHENG Feiping,LIU Baozhu.Determination of voltage stability critical parameters by asynchronous succession strategy[J].Electric Power Automation Equipment,2011,31(3):98-102.
[16]李来福,于继来,柳焯.戴维南等值参数的漂移问题研究[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.
[17]CORSI S,TARANTO G.A real-time voltage instability identification algorithm based on local phasor measurements[J].IEEE Transactions on Power Systems,2008,23(3):1271-1279.
[18]牟善科,丁涛,顾伟,等.基于偏差校正的戴维南等值参数在线跟踪改进算法[J].电力系统保护与控制,2011,39(2):23-28.MOU Shanke,DING Tao,GU Wei,et al.An improved algorithm for on-line tracking Thevenin equivalent parameters based on deviation correction[J].Power System Protection and Control,2011,39(2):23-28.
[19]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.
[20]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(22):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(22):126-132.
[21]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.
[22]仲悟之.受端系统暂态电压稳定机理研究[D].北京:中国电力科学研究院,2008.ZHONG Wuzhi.Mechanism research of transient voltage stability in receiving-end grid[D].Beijing:China Electric Power Research Institute,2008.
[23]罗建,徐馨,杨桦,等.微小扰动状况下的戴维南等值参数辨识方法[J].中国电机工程学报,2014,34(增刊):61-66.LUO Jian,XU Xin,YANG Hua,et al.Identification method for Thevenin equivalent parameters under tiny disturbance conditions[J].Proceedings of the CSEE,2014,34(Supplement):61-66.
[24]李卓艺,刘俊勇,刘友波,等.系统持续扰动下的电力系统戴维南等值参数在线识别[J].中国电机工程学报,2015,35(8):1900-1908.LI Zhuoyi,LIU Junyong,LIU Youbo,et al.An on-line parameter identification of Thevenin equivalent circuit for power systems with persistent disturbance[J].Proceedings of the CSEE,2015,35(8):1900-1908.
[25]贠志皓,丰颖,咸国富,等.计及发电机无功越限的广域戴维南等值参数在线计算方法[J].电力系统自动化,2016,40(11):53-60.YUN Zhihao,FENG Ying,XIAN Guofu,et al.Online computation method of wide area Thevenin equivalent parameters considering reactive power constraints of generators[J].Automation of Electric Power Systems,2016,40(11):53-60.
[26]秦文丽,林伟芳.在线电压分析方法及无功优化配置综述[J].电气传动自动化,2013,35(1):1-6.QIN Wenli,LIN Weifang.Overview of on-line voltage analysis methods and optimal reactive power configuration[J].Electric Drive Automation,2013,35(1):1-6.
[27]马世英,仲悟之,汤涌,等.基于多信息源的电压安全全过程预警及防控系统[J].电网技术,2013,37(9):2459-2465.MA Shiying,ZHONG Wuzhi,TANG Yong,et al.A multiple information sources based whole process early warning and preventive control system for voltage security[J].Power System Technology,2013,37(9):2459-2465.
[28]夏道止.电力系统分析(下册)[M].北京:水利电力出版社,1995:105-107.
[29]西安交通大学,清华大学,浙江大学,等.电力系统计算[M].北京:水利电力出版社,1978:295-300,190-192.
[30]刘新文,王雪松.可逆分块矩阵的逆矩阵的求法[J].衡阳师范学院学报,2008,29(3):29-31.LIU Xinwen,WANG Xuesong.The method of inverse matrix of the inversable bolck matrix[J].Journal of Hengyang Normal University,2008,29(3):29-31.
[2]OHTSUKA K,YOKOKAWA S,TANAKA H,et al.An equivalent of multi-machine power systems and its identification for on-line application to decentralized stabilizers[J].IEEE Transactions on Power Systems,1989,4(2):687-693.
[3]CHEBBO A M,IRVING M R,STERLING M J H.Voltage collapse proximity indicator:behaviour and implications[J].IEE Proceedings C-Generation,Transmission and Distribution,1992,139(3):241-252.
[4]HAQUE M H.A fast method for determining the voltage stability limit of a power system[J].Electric Power System Research,1995,32(1):35-43.
[5]VU K,BEGOVIC M M,NOVOSEL D,et al.Use of local measurement to estimate voltage stability margin[J].IEEE Transactions on Power Systems,1999,14(3):1029-1035.
[6]FUSCO G,LOSI A,RUSSO M.Constrained least squares methods for parameter tracking of power system steady-state equivalent circuits[J].IEEE Transactions on Power Delivery,2000,15(3):1073-1080.
[7]MILOSEVIC B,BEGOVIC M.Voltage-stability protection and control using a wide-area network of phasor measurements[J].IEEE Transactions on Power Systems,2003,18(1):121-127.
[8]VERBIC G,GUBINA F.A new concept of voltage-collapse protection based on local phasors[J].IEEE Transactions on Power Delivery,2004,19(2):576-581.
[9]王漪,柳焯.基于戴维南等值的系统参数跟踪估计[J].电网技术,2000,24(11):28-30.WANG Yi,LIU Zhuo.Tracking and estimation of system parameter using Thevenin’s equivalent[J].Power System Technology,2000,24(11):28-30.
[10]王芝茗,王漪,徐敬有,等.关键负荷节点集合电网侧戴维南参数预估[J].中国电机工程学报,2002,22(2):16-20.WANG Zhiming,WANG Yi,XU Jingyou,et al.Prediction of Thevenin’s equivalent parameters on electrical power network side for the muster of key load nodes[J].Proceedings of the CSEE,2002,22(2):16-20.
[11]李娟,刘修宽,曹国臣,等.一种面向节点的电网等值参数跟踪估计方法的研究[J].中国电机工程学报,2003,23(3):30-33.LI Juan,LIU Xiukuan,CAO Guochen,et al.A tracking estimation method for network equivalent parameters of facing the node[J].Proceedings of the CSEE,2003,23(3):30-33.
[12]傅旭,王锡凡.电力系统静态电压稳定性在线监控(一)——一种可在线应用的计及负荷静态特性的电压稳定指标[J].电力自动化设备,2005,25(8):23-26.FU Xu,WANG Xifan.On-line voltage stability monitoring for electric power system part 1:on-line voltage stability index considering load static characteristics[J].Electric Power Automation Equipment,2005,25(8):23-26.
[13]刘明松,张伯明,姚良忠,等.基于PMU和改进戴维南等值模型的电压稳定在线监视[J].电力系统自动化,2009,33(10):6-10.LIU Mingsong,ZHANG Boming,YAO Liangzhong,et al.On-line voltage stability monitoring based on PMU and improved Thevenin equivalent model[J].Automation of Electric Power Systems,2009,33(10):6-10.
[14]罗华伟,吴政球,戴庆华,等.电网戴维南等值参数的快速计算[J].中国电机工程学报,2009,29(1):35-39.LUO Huawei,WU Zhengqiu,DAI Qinghua,et al.Fast computation of Thevenin equivalent parameters[J].Proceedings of the CSEE,2009,29(1):35-39.
[15]郑飞平,刘宝柱.电压稳定临界参数的异步接替求取策略[J].电力自动化设备,2011,31(3):98-102.ZHENG Feiping,LIU Baozhu.Determination of voltage stability critical parameters by asynchronous succession strategy[J].Electric Power Automation Equipment,2011,31(3):98-102.
[16]李来福,于继来,柳焯.戴维南等值参数的漂移问题研究[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.
[17]CORSI S,TARANTO G.A real-time voltage instability identification algorithm based on local phasor measurements[J].IEEE Transactions on Power Systems,2008,23(3):1271-1279.
[18]牟善科,丁涛,顾伟,等.基于偏差校正的戴维南等值参数在线跟踪改进算法[J].电力系统保护与控制,2011,39(2):23-28.MOU Shanke,DING Tao,GU Wei,et al.An improved algorithm for on-line tracking Thevenin equivalent parameters based on deviation correction[J].Power System Protection and Control,2011,39(2):23-28.
[19]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.
[20]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(22):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(22):126-132.
[21]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.
[22]仲悟之.受端系统暂态电压稳定机理研究[D].北京:中国电力科学研究院,2008.ZHONG Wuzhi.Mechanism research of transient voltage stability in receiving-end grid[D].Beijing:China Electric Power Research Institute,2008.
[23]罗建,徐馨,杨桦,等.微小扰动状况下的戴维南等值参数辨识方法[J].中国电机工程学报,2014,34(增刊):61-66.LUO Jian,XU Xin,YANG Hua,et al.Identification method for Thevenin equivalent parameters under tiny disturbance conditions[J].Proceedings of the CSEE,2014,34(Supplement):61-66.
[24]李卓艺,刘俊勇,刘友波,等.系统持续扰动下的电力系统戴维南等值参数在线识别[J].中国电机工程学报,2015,35(8):1900-1908.LI Zhuoyi,LIU Junyong,LIU Youbo,et al.An on-line parameter identification of Thevenin equivalent circuit for power systems with persistent disturbance[J].Proceedings of the CSEE,2015,35(8):1900-1908.
[25]贠志皓,丰颖,咸国富,等.计及发电机无功越限的广域戴维南等值参数在线计算方法[J].电力系统自动化,2016,40(11):53-60.YUN Zhihao,FENG Ying,XIAN Guofu,et al.Online computation method of wide area Thevenin equivalent parameters considering reactive power constraints of generators[J].Automation of Electric Power Systems,2016,40(11):53-60.
[26]秦文丽,林伟芳.在线电压分析方法及无功优化配置综述[J].电气传动自动化,2013,35(1):1-6.QIN Wenli,LIN Weifang.Overview of on-line voltage analysis methods and optimal reactive power configuration[J].Electric Drive Automation,2013,35(1):1-6.
[27]马世英,仲悟之,汤涌,等.基于多信息源的电压安全全过程预警及防控系统[J].电网技术,2013,37(9):2459-2465.MA Shiying,ZHONG Wuzhi,TANG Yong,et al.A multiple information sources based whole process early warning and preventive control system for voltage security[J].Power System Technology,2013,37(9):2459-2465.
[28]夏道止.电力系统分析(下册)[M].北京:水利电力出版社,1995:105-107.
[29]西安交通大学,清华大学,浙江大学,等.电力系统计算[M].北京:水利电力出版社,1978:295-300,190-192.
[30]刘新文,王雪松.可逆分块矩阵的逆矩阵的求法[J].衡阳师范学院学报,2008,29(3):29-31.LIU Xinwen,WANG Xuesong.The method of inverse matrix of the inversable bolck matrix[J].Journal of Hengyang Normal University,2008,29(3):29-31.