改进的基于复数域标幺化的快速解耦状态估计算法
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摘要
当前基于复数域标幺化的配电网快速解耦状态估计算法仍存在部分支路阻抗比绝对值较大影响算法收敛性能的问题。针对该问题,提出了改进的基于复数域标幺化的快速解耦状态估计算法。在电压和功率的基准值中引入相角进行复数域标幺化,并对标幺化后阻抗比绝对值较大的支路进行串联补偿。该串联补偿方法通过给予待补偿支路1个附加电抗以减小支路阻抗比,同时串联1条虚拟支路以消除附加电抗对支路参数的影响,而最优补偿电抗的取值由各支路阻抗比绝对值的均值决定。分别在IEEE 33节点的对称配电系统和IEEE 13、123节点的不对称配电系统中对改进的基于复数域标幺化的快速解耦状态估计算法进行测试与分析。
At present,the convergence performance of the fast decoupled state estimation algorithm based on complex normalization is still affected by the large absolute value of impedance ratio of some branches. In order to solve this problem,an improved fast decoupled state estimation algorithm based on complex normalization is proposed. An angle reference is introduced into the reference values of voltage and power to implement the complex normalization,and then the series compensation is carried out for the branches with large absolute value of impedance ratio after normalization. The impedance ratio of branch to be compensated is reduced by giving an additional reactance and the influence of this additional reactance on the parameters of this branch is eliminated by connecting a virtual branch in series,and the value of the optimal compensation reactance is determined by the mean of the absolute impedance ratio of each branch. The improved fast decoupled state estimation algorithm based on complex normalization is tested and analyzed in the symmetrical IEEE 33-bus distribution system and the asymmetrical IEEE 13-bus and 123-bus distribution systems respectively.
At present,the convergence performance of the fast decoupled state estimation algorithm based on complex normalization is still affected by the large absolute value of impedance ratio of some branches. In order to solve this problem,an improved fast decoupled state estimation algorithm based on complex normalization is proposed. An angle reference is introduced into the reference values of voltage and power to implement the complex normalization,and then the series compensation is carried out for the branches with large absolute value of impedance ratio after normalization. The impedance ratio of branch to be compensated is reduced by giving an additional reactance and the influence of this additional reactance on the parameters of this branch is eliminated by connecting a virtual branch in series,and the value of the optimal compensation reactance is determined by the mean of the absolute impedance ratio of each branch. The improved fast decoupled state estimation algorithm based on complex normalization is tested and analyzed in the symmetrical IEEE 33-bus distribution system and the asymmetrical IEEE 13-bus and 123-bus distribution systems respectively.
引文
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[11]卫志农,王丹,孙国强,等.基于相坐标系的配电网三相不对称解耦状态估计算法[J].电力系统自动化,2005,29(16):16-21.WEI Zhinong,WANG Dan,SUN Guoqiang,et al.New algorithm for state estimation based on fast decoupling of distribution system’s asymmetrical three-phase in phase coordinates[J].Automation of Electric Power Systems,2005,29(16):16-21.
[12]GOL M,ABUR A.A robust PMU based three-phase state estimator using modal decoupling[J].IEEE Transactions on Power Systems,2014,29(5):2292-2299.
[13]BARAN M E,KELLEY A W.A branch-current-based state estimation method for distribution systems[J].IEEE Transactions on Power Systems,1995,10(1):483-491.
[14]WANG L,XIANG N,WANG S,et al.Novel decoupled power flow[J].IEE Proceedings C-Generation,Transmission and Distribution,1990,137(1):1-7.
[15]孙宏斌,张伯明.基于支路功率的配电状态估计方法[J].电力系统自动化,1998,22(8):12-16.SUN Hongbin,ZHANG Boming.A branch-power-based state estimation method for distribution system[J].Automation of Electric Power Systems,1998,22(8):12-16.
[16]李建,王心丰,段刚,等.基于等效功率变换的配电网状态估计算法[J].电力系统自动化,2003,27(10):39-44.LI Jian,WANG Xinfeng,DUAN Gang,et al.A state estimation method for distribution systems based on equivalent power transformation[J].Automation of Electric Power Systems,2003,27(10):39-44.
[17]周佳伟,卫志农,孙国强,等.基于复数域标幺化的配电网三相不对称快速分解状态估计算法[J].电力自动化设备,2017,37(3):13-18,25.ZHOU Jiawei,WEI Zhinong,SUN Guoqiang,et al.Fast decoupled state-estimation algorithm based on complex normalization for threephase asymmetrical distribution network[J].Electric Power Automation Equipment,2017,37(3):13-18,25.
[18]TORTELLI O L,LOURENCO E M,GARCIA A V,et al.Fast decoupled power flow to emerging distribution systems via complex pu normalization[J].IEEE Transactions on Power Systems,2015,30(3):1351-1358.
[19]DZAFIC I,JABR R A,HUSEINAGIC I,et al.Multi-phase state estimation featuring industrial-grade distribution network models[J].IEEE Transactions on Smart Grid,2017,8(2):609-618.
[20]刘琳,和敬涵.广义特勒根求解的配电网混合变换三相解耦状态估计算法[J].中国电机工程学报,2016,36(14):3734-3741.LIU Lin,HE Jinghan.A new algorithm for distribution network state estimation considering three-phase decoupling based on Tellegen’s theorem solving[J].Proceedings of the CSEE,2016,36(14):3734-3741.
[2]怀全,候小虎,何良策,等.一种含分布式电源的中低压配电网状态估计方法研究[J].电力系统保护与控制,2018,46(21):69-77.HUAI Quan,HOU Xiaohu,HE Liangce,et al.A method of state estimation for middle voltage and low voltage distribution network with distributed generations[J].Power System Protection and Control,2018,46(21):69-77.
[3]陈醒,卫志农,沈海平,等.基于双解耦的配电网三相不平衡快速潮流算法[J].电力自动化设备,2017,37(10):63-70.CHEN Xing,WEI Zhinong,SHEN Haiping,et al.Three-phase unbalanced fast power flow calculation algorithm based on double decoupling for distribution network[J].Electric Power Automation Equipment,2017,37(10):63-70.
[4]赵俊博,张葛祥,黄彦全,等.含新能源电力系统状态估计研究现状和展望[J].电力自动化设备,2014,34(5):7-20,34.ZHAO Junbo,ZHANG Gexiang,HUANG Yanquan,et al.Status and prospect of state estimation for power system containing renewable energy[J].Electric Power Automation Equipment,2014,34(5):7-20,34.
[5]鲁跃峰,李海涛,周巍,等.含分布式电源的配电网改进快速解耦法潮流计算[J].广东电力,2013,26(3):56-61.LU Yuefeng,LI Haitao,ZHOU Wei,et al.Improved fast decoupled load flow calculation for distribution network containing distributed genetation[J].Guangdong Electric Power,2013,26(3):56-61.
[6]于尔铿.电力系统状态估计[M].北京:水利电力出版社,1985:61-71.
[7]程浩忠,袁青山,汪一华,等.基于等效电流量测变换的电力系统状态估计方法[J].电力系统自动化,2000,24(14):25-29.CHENG Haozhong,YUAN Qingshan,WANG Yihua,et al.A state estimation method of power systems based on equivalent current measurement transformation[J].Automation of Electric Power Systems,2000,24(14):25-29.
[8]敖鑫,王淳,朱文广,等.两种配电网线性潮流计算方法及其比较[J].电网技术,2017,41(12):4004-4013.AO Xin,WANG Chun,ZHU Wenguang,et al.Derivation and comparison of two versions of linear power flow method for distribution networks[J].Power System Technology,2017,41(12):4004-4013.
[9]CONEJO A J,DE LA TORRE S,CANAS M.An optimization approach to multiarea state estimation[J].IEEE Transactions on Power Systems,2007,22(1):213-221.
[10]李青芯,孙宏斌,王晶,等.变电站-调度中心两级分布式状态估计[J].电力系统自动化,2012,36(7):44-50,91.LI Qingxin,SUN Hongbin,WANG Jing,et al.Substation-dispatch center two-level distributed state estimation[J].Automation of Electric Power Systems,2012,36(7):44-50,91.
[11]卫志农,王丹,孙国强,等.基于相坐标系的配电网三相不对称解耦状态估计算法[J].电力系统自动化,2005,29(16):16-21.WEI Zhinong,WANG Dan,SUN Guoqiang,et al.New algorithm for state estimation based on fast decoupling of distribution system’s asymmetrical three-phase in phase coordinates[J].Automation of Electric Power Systems,2005,29(16):16-21.
[12]GOL M,ABUR A.A robust PMU based three-phase state estimator using modal decoupling[J].IEEE Transactions on Power Systems,2014,29(5):2292-2299.
[13]BARAN M E,KELLEY A W.A branch-current-based state estimation method for distribution systems[J].IEEE Transactions on Power Systems,1995,10(1):483-491.
[14]WANG L,XIANG N,WANG S,et al.Novel decoupled power flow[J].IEE Proceedings C-Generation,Transmission and Distribution,1990,137(1):1-7.
[15]孙宏斌,张伯明.基于支路功率的配电状态估计方法[J].电力系统自动化,1998,22(8):12-16.SUN Hongbin,ZHANG Boming.A branch-power-based state estimation method for distribution system[J].Automation of Electric Power Systems,1998,22(8):12-16.
[16]李建,王心丰,段刚,等.基于等效功率变换的配电网状态估计算法[J].电力系统自动化,2003,27(10):39-44.LI Jian,WANG Xinfeng,DUAN Gang,et al.A state estimation method for distribution systems based on equivalent power transformation[J].Automation of Electric Power Systems,2003,27(10):39-44.
[17]周佳伟,卫志农,孙国强,等.基于复数域标幺化的配电网三相不对称快速分解状态估计算法[J].电力自动化设备,2017,37(3):13-18,25.ZHOU Jiawei,WEI Zhinong,SUN Guoqiang,et al.Fast decoupled state-estimation algorithm based on complex normalization for threephase asymmetrical distribution network[J].Electric Power Automation Equipment,2017,37(3):13-18,25.
[18]TORTELLI O L,LOURENCO E M,GARCIA A V,et al.Fast decoupled power flow to emerging distribution systems via complex pu normalization[J].IEEE Transactions on Power Systems,2015,30(3):1351-1358.
[19]DZAFIC I,JABR R A,HUSEINAGIC I,et al.Multi-phase state estimation featuring industrial-grade distribution network models[J].IEEE Transactions on Smart Grid,2017,8(2):609-618.
[20]刘琳,和敬涵.广义特勒根求解的配电网混合变换三相解耦状态估计算法[J].中国电机工程学报,2016,36(14):3734-3741.LIU Lin,HE Jinghan.A new algorithm for distribution network state estimation considering three-phase decoupling based on Tellegen’s theorem solving[J].Proceedings of the CSEE,2016,36(14):3734-3741.
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