考虑混合量测的配电网二次约束二次估计方法
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摘要
为适应同步相量测量技术的应用对配电网产生的影响,提出一种基于二次约束二次估计的配电网状态估计方法。基于配电网节点注入方程以及相量量测的特性,考虑数据采集与监控(supervisorycontrolanddataacquisition,SCADA)系统和同步相量测量单元(phasormeasurement unit,PMU)装置量测数据的融合,通过引入中间变量和二次等式约束,提出直角坐标系下二次形式的混合量测方程,建立了二次约束二次估计模型,并采用合适的优化算法求解,提高了计算精度和计算效率,并具有良好的抗差性。IEEE-123节点算例的分析验证了所提方法的有效性和实用性。
This paper proposed a quadratic constraint quadratic estimation(QCQE) model for distribution network state estimation in order to adapt to the impact of application of synchronous phasor measurement technology on distribution system. Based on node injection equation of distribution network and phasor measurement characteristics, this method took the mixed measurements collected with SCADA and PMU into account. By introducing intermediate variables and quadratic equality constraints, measurement models were proposed to establish QCQE model, which could be solved with suitable optimization algorithm, thus improving calculation accuracy and computational efficiency with better robustness. Case studies on IEEE 123-bus test system verified effectiveness and practicality of the proposed method.
This paper proposed a quadratic constraint quadratic estimation(QCQE) model for distribution network state estimation in order to adapt to the impact of application of synchronous phasor measurement technology on distribution system. Based on node injection equation of distribution network and phasor measurement characteristics, this method took the mixed measurements collected with SCADA and PMU into account. By introducing intermediate variables and quadratic equality constraints, measurement models were proposed to establish QCQE model, which could be solved with suitable optimization algorithm, thus improving calculation accuracy and computational efficiency with better robustness. Case studies on IEEE 123-bus test system verified effectiveness and practicality of the proposed method.
引文
[1]郭瑞鹏,邵学俭,韩祯祥.基于分块吉文斯旋转的电力系统状态估计[J].中国电机工程学报,2006,26(12):26-31.Guo Ruipeng,Shao Xuejian,Han Zhenxiang.A blocked Givens rotations based algorithm for power system state estimation[J].Proceedings of the CSEE,2006,26(12):26-31(in Chinese).
[2]颜伟,段磊,杨焕燕,等.基于智能电表量测的三相四线制配网抗差估计[J].中国电机工程学报,2015,35(1):60-67.Yan Wel,Duan Lei,Yang Huanyan,et al.Robust state estimation for three-phase four-wire distribution system using smart meters measurement data[J].Proceedings of the CSEE,2015,35(1):60-67(in Chinese).
[3]王宾,孙华东,张道农.配电网信息共享与同步相量测量应用技术评述[J].中国电机工程学报,2015,35(S1):1-7.Wang Bin,Sun Huadong,Zhang Daonong.Review on data sharing and synchronized phasor measurement technique with application in distribution systems[J].Proceedings of the CSEE,2015,35(S1):1-7(in Chinese).
[4]董清,马诚,韩锋.利用PMU测量相角数据计算不同测点间电压相角差的方法[J].电网技术,2017,41(9):2996-3003.Dong Qing,Ma Cheng,Han Feng.Method for calculating phase angle difference between voltage phasors using phase angle data measured with DFT[J].Power System Technology,2017,41(9):2996-3003(in Chinese).
[5]颜磊,艾欣,王尧,等.一种将PMU支路电流量测引入非线性状态估计的方法[J].电网技术,2014,38(10):2816-2821.Yan Lei,Ai Xin,Wang Yao,et al.A new method to lead PMU branch current measurement into nonlinear state estimation[J].Power System Technology,2014,38(10):2816-2821(in Chinese).
[6]常鲜戎,樊瑞.计及零注入节点约束的混合量测分区状态估计方法[J].电网技术,2015,39(8):2253-2257.Chang Xianrong,Fan Rui.A mixed measurement partition state estimation method taking zero injection node constraint into account[J].Power System Technology,2015,39(8):2253-2257(in Chinese).
[7]苏蓉,赵俊博,张葛祥,等.一种计及全量测相关性的混合电力系统状态估计方法[J].电网技术,2018,42(8):2651-2658.Su Rong,Zhao Junbo,Zhang Gexiang,et al.A hybrid power system state estimation method considering measurement correlations[J].Power System Technology,2018,42(8):2651-2658(in Chinese).
[8]李鹏,宿洪智,王成山,等.基于PMU量测的智能配电网电压-功率灵敏度鲁棒估计方法[J].电网技术,2018,42(10):3258-3267.Li Peng,Su Hongzhi,Wang Chengshan,et al.Robust estimation method of voltage to power sensitivity for smart distribution networks based on PMU measurements[J].Power System Technology,2018,42(10):3258-3267(in Chinese).
[9]厉超,卫志农,倪明,等.计及PMU量测的分步线性状态估计模型[J].电网技术,2014,38(6):1700-1704.Li Chao,Wei Zhinong,Ni Ming,et al.A PMU measurement based stepwise linear estimation model[J].Power System Technology,2014,38(6):1700-1704(in Chinese).
[10]王少芳,刘广一,黄仁乐,等.多采样周期混合量测环境下的主动配电网状态估计方法[J].电力系统自动化,2016,40(19):30-36.Wang Shaofang,Liu Guangyi,Huang Renle,et al.State estimation method for active distribution networks under environment of hybrid measurement with multiple sampling periods[J].Automation of Electric Power Systems,2016,40(19):30-36(in Chinese).
[11]卫志农,顾杵,鞠平,等.三相辐射配网状态估计方法[J].中国电机工程学报,2000,20(3):84-87.Wei Zhinong,Gu Chu,Ju Ping,et al.A three-phase radial distribution system state estimation algorithm[J].Proceedings of the CSEE,2000,20(3):84-87(in Chinese).
[12]吴在军,徐俊俊,余星火,等.主动配电网状态估计技术评述[J].电力系统自动化,2017,41(13):182-191.Wu Zaijun,Xu Junjun,Yu Xinghuo,et al.Review on state estimation technique of active distribution network[J].Automation of Electric Power Systems,2017,41(13):182-191(in Chinese).
[13]Lin W M,Teng J H.State estimation for distribution systems with zero-injection constraints[J].IEEE Transactions on Power Systems,1996,11(1):518-524.
[14]卫志农,陈胜,孙国强,等.含多类型分布式电源的主动配电网分布式三相状态估计[J].电力系统自动化,2015,39(9):68-74.Wei Zhinong,Chen Sheng,Sun Guoqiang,et al.Distributed three-phase state estimation for active distribution network integrated with different types of distributed generators[J].Automation of Electric Power Systems,2015,39(9):68-74(in Chinese).
[15]方朝雄.最优乘子法及其在交直流电网潮流计算中的应用[J].中国电力,2018,51(6):107-112.Fang Chaoxiong.Optimal multiplier method and its application in power flow calculation for AC/DC power grids[J].Electric Power,2018,51(6):107-112(in Chinese).
[16]Kersting W H.Radial distribution test feeders[J].IEEE Transactions on Power Systems,1991,6(3):975-985.
[17]于尔铿.能量管理系统(EMS)[M].北京:科学出版社,1998.
[18]Zheng W,Wu W,Gomez-Exposito A,et al.Distributed robust bilinear state estimation for power systems with nonlinear measurements[J].IEEE Transactions on Power Systems,2017,32(1):499-509.
[2]颜伟,段磊,杨焕燕,等.基于智能电表量测的三相四线制配网抗差估计[J].中国电机工程学报,2015,35(1):60-67.Yan Wel,Duan Lei,Yang Huanyan,et al.Robust state estimation for three-phase four-wire distribution system using smart meters measurement data[J].Proceedings of the CSEE,2015,35(1):60-67(in Chinese).
[3]王宾,孙华东,张道农.配电网信息共享与同步相量测量应用技术评述[J].中国电机工程学报,2015,35(S1):1-7.Wang Bin,Sun Huadong,Zhang Daonong.Review on data sharing and synchronized phasor measurement technique with application in distribution systems[J].Proceedings of the CSEE,2015,35(S1):1-7(in Chinese).
[4]董清,马诚,韩锋.利用PMU测量相角数据计算不同测点间电压相角差的方法[J].电网技术,2017,41(9):2996-3003.Dong Qing,Ma Cheng,Han Feng.Method for calculating phase angle difference between voltage phasors using phase angle data measured with DFT[J].Power System Technology,2017,41(9):2996-3003(in Chinese).
[5]颜磊,艾欣,王尧,等.一种将PMU支路电流量测引入非线性状态估计的方法[J].电网技术,2014,38(10):2816-2821.Yan Lei,Ai Xin,Wang Yao,et al.A new method to lead PMU branch current measurement into nonlinear state estimation[J].Power System Technology,2014,38(10):2816-2821(in Chinese).
[6]常鲜戎,樊瑞.计及零注入节点约束的混合量测分区状态估计方法[J].电网技术,2015,39(8):2253-2257.Chang Xianrong,Fan Rui.A mixed measurement partition state estimation method taking zero injection node constraint into account[J].Power System Technology,2015,39(8):2253-2257(in Chinese).
[7]苏蓉,赵俊博,张葛祥,等.一种计及全量测相关性的混合电力系统状态估计方法[J].电网技术,2018,42(8):2651-2658.Su Rong,Zhao Junbo,Zhang Gexiang,et al.A hybrid power system state estimation method considering measurement correlations[J].Power System Technology,2018,42(8):2651-2658(in Chinese).
[8]李鹏,宿洪智,王成山,等.基于PMU量测的智能配电网电压-功率灵敏度鲁棒估计方法[J].电网技术,2018,42(10):3258-3267.Li Peng,Su Hongzhi,Wang Chengshan,et al.Robust estimation method of voltage to power sensitivity for smart distribution networks based on PMU measurements[J].Power System Technology,2018,42(10):3258-3267(in Chinese).
[9]厉超,卫志农,倪明,等.计及PMU量测的分步线性状态估计模型[J].电网技术,2014,38(6):1700-1704.Li Chao,Wei Zhinong,Ni Ming,et al.A PMU measurement based stepwise linear estimation model[J].Power System Technology,2014,38(6):1700-1704(in Chinese).
[10]王少芳,刘广一,黄仁乐,等.多采样周期混合量测环境下的主动配电网状态估计方法[J].电力系统自动化,2016,40(19):30-36.Wang Shaofang,Liu Guangyi,Huang Renle,et al.State estimation method for active distribution networks under environment of hybrid measurement with multiple sampling periods[J].Automation of Electric Power Systems,2016,40(19):30-36(in Chinese).
[11]卫志农,顾杵,鞠平,等.三相辐射配网状态估计方法[J].中国电机工程学报,2000,20(3):84-87.Wei Zhinong,Gu Chu,Ju Ping,et al.A three-phase radial distribution system state estimation algorithm[J].Proceedings of the CSEE,2000,20(3):84-87(in Chinese).
[12]吴在军,徐俊俊,余星火,等.主动配电网状态估计技术评述[J].电力系统自动化,2017,41(13):182-191.Wu Zaijun,Xu Junjun,Yu Xinghuo,et al.Review on state estimation technique of active distribution network[J].Automation of Electric Power Systems,2017,41(13):182-191(in Chinese).
[13]Lin W M,Teng J H.State estimation for distribution systems with zero-injection constraints[J].IEEE Transactions on Power Systems,1996,11(1):518-524.
[14]卫志农,陈胜,孙国强,等.含多类型分布式电源的主动配电网分布式三相状态估计[J].电力系统自动化,2015,39(9):68-74.Wei Zhinong,Chen Sheng,Sun Guoqiang,et al.Distributed three-phase state estimation for active distribution network integrated with different types of distributed generators[J].Automation of Electric Power Systems,2015,39(9):68-74(in Chinese).
[15]方朝雄.最优乘子法及其在交直流电网潮流计算中的应用[J].中国电力,2018,51(6):107-112.Fang Chaoxiong.Optimal multiplier method and its application in power flow calculation for AC/DC power grids[J].Electric Power,2018,51(6):107-112(in Chinese).
[16]Kersting W H.Radial distribution test feeders[J].IEEE Transactions on Power Systems,1991,6(3):975-985.
[17]于尔铿.能量管理系统(EMS)[M].北京:科学出版社,1998.
[18]Zheng W,Wu W,Gomez-Exposito A,et al.Distributed robust bilinear state estimation for power systems with nonlinear measurements[J].IEEE Transactions on Power Systems,2017,32(1):499-509.
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