基于概率潮流的10kV配电网合环操作安全性评估
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摘要
配电网的合环操作可能会产生较大合环电流,影响电网运行的安全性。对此提出了一种基于概率潮流的10 kV配电网合环操作安全性评估方法。该方法考虑合环馈线上负荷的概率分布,采用半不变量法求取合环稳态电流与暂态冲击电流的概率分布特性,并通过计算电流越限概率和越限程度对10 kV配电网合环操作的安全性进行评估。在半不变量法概潮流计算中,提出了一种基于历史负荷数据求取输入变量的各阶半不变量的方法,克服了传统数值方法的局限性。最后对某实际合环算例进行仿真计算,分析结果验证了所提方法的有效性、快速性和实用性。
Loop closing operation in distribution network may generate large current, affecting safety of power systems.In this paper, a security assessment method of loop closing operation in 10 kV distribution network based on probabilistic load flow is proposed. Considering the probabilistic distribution of the electric loads on feeders, cumulant method is used to obtain the probabilistic distribution characteristics of loop closing steady-state current and transient impulse current.Security of loop closing operation in 10 kV distribution network is assessed by calculating the over-limit probability and degree of loop closing current. In calculation of probabilistic load flow, this paper proposes a method to obtain the cumulants of input variables based on historical load data, overcoming the limitations of traditional numerical method. Finally, simulation is performed for a practical case of loop closing operation.Analysis results verify effectiveness, rapidity, and practicality of the proposed method.
Loop closing operation in distribution network may generate large current, affecting safety of power systems.In this paper, a security assessment method of loop closing operation in 10 kV distribution network based on probabilistic load flow is proposed. Considering the probabilistic distribution of the electric loads on feeders, cumulant method is used to obtain the probabilistic distribution characteristics of loop closing steady-state current and transient impulse current.Security of loop closing operation in 10 kV distribution network is assessed by calculating the over-limit probability and degree of loop closing current. In calculation of probabilistic load flow, this paper proposes a method to obtain the cumulants of input variables based on historical load data, overcoming the limitations of traditional numerical method. Finally, simulation is performed for a practical case of loop closing operation.Analysis results verify effectiveness, rapidity, and practicality of the proposed method.
引文
[1]陈霄,王磊,李扬.配电网络合环冲击电流的分析[J].电力自动化设备,2005,25(4):40-42.Chen Xiao,Wang Lei,Li Yang.Analysis of surge current due to closing loop in distribution grid[J].Electric Power Automation Equipment,2005,25(4):40-42(in Chinese).
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[4]姜瀚书,孙翀也,贾彦兵,等.10 kV配电网合环电流暂态过程的分析与仿真[J].黑龙江电力,2011,33(2):88-90.Jiang Hanshu,Sun Chongye,Jia Yanbing,et al.Transient analysis and simulation of surge current due to closing loop in 10 k Vdistribution network[J].Heilongjiang Electric Power,2011,33(2):88-90(in Chinese).
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[7]邹俊雄,周冠波,付轲,等.10 kV配网合环转电计算模型与试验分析[J].电力系统保护与控制,2010,38(8):144-148.Zou Junxiong,Zhou Guanbo,Fu Ke,et al.Electromagnetic loop closing calculation model and experimental analysis on 10 k Vdistribution network[J].Power System Protection and Control,2010,38(8):144-148(in Chinese).
[8]甘国晓,王主丁,李瑞,等.配电网合环冲击电流计算方法及其简化计算公式[J].电力系统自动化,2014,38(20):115-120.Gan Guoxiao,Wang Zhuding,Li Rui,et al.Methods and simplified formulas for calculating surge currents from loop closing in distribution networks[J].Automation of Electric Power Systems,2014,38(20):115-120(in Chinese).
[9]李晓柯,李祥发.配电网合环冲击电流的暂态过程分析与仿真[J].机电工程,2010,27(5):67-70.Li Xiaoke,Li Xiangfa.Transient analysis and simulation of surge current due to closing loop in distribution network[J].Journal of Mechanical&Electrical Engineering,2010,27(5):67-70(in Chinese).
[10]葛少云,李晓明.基于戴维南等值的配电网合环冲击电流计算[J].电力系统及其自动化学报,2007,19(6):124-127.Ge Shaoyun,Li Xiaoming.Study on surge current due to closing loop in distribution network based on Thevenin’s equivalent[J].Proceedings of the Chinese Society of Universities for Electric Power System and Automation,2007,19(6):124-127(in Chinese).
[11]蔡万通,刘文颖,张宁,等.基于惩罚性变权最优综合评价模型的电磁环网解合环方案分析[J].电网技术,2017,41(7):2316-2323.Cai Wantong,Liu Wenying,Zhang Ning,et al.Analysis of electromagnetic loop network on loop closing or opening based on model of optimal comprehensive evaluation with punitive variable weight[J].Power System Technology,2017,41(7):2316-2323(in Chinese).
[12]付轲,蔡泽祥,邱建,等.10 kV电网电磁合环操作安全性评估方法[J].电力系统及其自动化学报,2010,22(4):71-76.Fu Ke,Cai Zexiang,Qiu Jian,et al.Safety assessment methods of loop closing operation in 10 kV distribution network[J].Proceedings of the Chinese Society of Universities for Electric Power System and its Automation,2010,22(4):71-76(in Chinese).
[13]石东源,蔡德福,陈金富,等.计及输入变量相关性的半不变量法概率潮流计算[J].中国电机工程学报,2012,32(28):104-113.Shi Dongyuan,Cai Defu,Chen Jinfu,et al.Probabilistic load flow calculation based on cumulant method considering correlation between input variables[J].Proceedings of the CSEE,2012,32(28):104-113(in Chinese).
[14]刘健,孙泉,张小庆,等.配电网合环分析与合环条件判断[J].电力系统自动化,2014,38(11):130-135.Liu Jian,Sun Quan,Zhang Xiaoqing,et al.Analysis on and criteria for loop closing operation for distribution grids[J].Automation of Electric Power Systems,2014,38(11):130-135(in Chinese).
[15]Pei Zhang,Lee S T.Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion[J].IEEE Transactions on Power Systems,2004,19(1):676-682.
[16]蔡东亮.基于最小二乘法的状态估计算法研究[D].济南:山东大学,2006.
[17]章坚民,相炜,罗刚,等.配电网30°相角差线路不停电转供的解决方案及关键分析[J].电力系统自动化,2018,42(1):74-81.Zhang Jianmin,Xiang Wei,Luo Gang,et al.Solution and its key issue analysis for load transfer without power interruption of distribution lines with 30°phase angle difference[J].Automation of Electric Power Systems,2018,42(1):74-81(in Chinese).
[18]张亮,章坚民,金乃正,等.配电网30°相角差线路不停电转供的混合顺控方法及试点验证[J].电力系统自动化,2018,42(2):128-135.Zhang Liang,Zhang Jianmin,Jin Naizheng,et al.Hybrid sequence control and pilot project verification for none-electricity-cut load transferring of distribution lines with 30 degree phase angle difference[J].Automation of Electric Power Systems,2018,42(2):128-135(in Chinese).
[2]叶清华,唐国庆,王磊,等.配电网合环操作环流分析系统的开发和应用[J].电力系统自动化,2002,26(22):66-69.Ye Qinghua,Tang Guoqing,Wang Lei,et al.Development and application of the analysis system for closed loop operation of distribution network[J].Automation of Electric Power Systems,2002,26(22):66-69(in Chinese).
[3]肖白,赵龙安,张宇,等.城市中压配电网合环操作分析与决策[J].电力系统保护与控制,2014,42(16):133-138.Xiao Bai,Zhao Long-an,Zhang Yu,et al.Analysis and decision of loop closing operation in urban mid-voltage distribution network[J].Power System Protection and Control,2014,42(16):133-138(in Chinese).
[4]姜瀚书,孙翀也,贾彦兵,等.10 kV配电网合环电流暂态过程的分析与仿真[J].黑龙江电力,2011,33(2):88-90.Jiang Hanshu,Sun Chongye,Jia Yanbing,et al.Transient analysis and simulation of surge current due to closing loop in 10 k Vdistribution network[J].Heilongjiang Electric Power,2011,33(2):88-90(in Chinese).
[5]Chen T H,Huang W T,Gu J C,et al.Feasibility study of upgrading primary feeders from radial and open-loop to normally closed-loop arrangement[J].IEEE Transactions on Power Systems,2004,19(3):1308-1316.
[6]宣科,贾云清,祝洪博.基于Ward/REI等值理论的配网合环稳态电流计算[J].东北电力大学学报,2011,31(1):43-47.Xuan Ke,Jia Yunqing,Zhu Hongbo.Study on steady-state current due to closing loop in distribution net-work based on Ward/REI’s equivalent[J].Journal of Northeast Dianli University,2011,31(1):43-47(in Chinese).
[7]邹俊雄,周冠波,付轲,等.10 kV配网合环转电计算模型与试验分析[J].电力系统保护与控制,2010,38(8):144-148.Zou Junxiong,Zhou Guanbo,Fu Ke,et al.Electromagnetic loop closing calculation model and experimental analysis on 10 k Vdistribution network[J].Power System Protection and Control,2010,38(8):144-148(in Chinese).
[8]甘国晓,王主丁,李瑞,等.配电网合环冲击电流计算方法及其简化计算公式[J].电力系统自动化,2014,38(20):115-120.Gan Guoxiao,Wang Zhuding,Li Rui,et al.Methods and simplified formulas for calculating surge currents from loop closing in distribution networks[J].Automation of Electric Power Systems,2014,38(20):115-120(in Chinese).
[9]李晓柯,李祥发.配电网合环冲击电流的暂态过程分析与仿真[J].机电工程,2010,27(5):67-70.Li Xiaoke,Li Xiangfa.Transient analysis and simulation of surge current due to closing loop in distribution network[J].Journal of Mechanical&Electrical Engineering,2010,27(5):67-70(in Chinese).
[10]葛少云,李晓明.基于戴维南等值的配电网合环冲击电流计算[J].电力系统及其自动化学报,2007,19(6):124-127.Ge Shaoyun,Li Xiaoming.Study on surge current due to closing loop in distribution network based on Thevenin’s equivalent[J].Proceedings of the Chinese Society of Universities for Electric Power System and Automation,2007,19(6):124-127(in Chinese).
[11]蔡万通,刘文颖,张宁,等.基于惩罚性变权最优综合评价模型的电磁环网解合环方案分析[J].电网技术,2017,41(7):2316-2323.Cai Wantong,Liu Wenying,Zhang Ning,et al.Analysis of electromagnetic loop network on loop closing or opening based on model of optimal comprehensive evaluation with punitive variable weight[J].Power System Technology,2017,41(7):2316-2323(in Chinese).
[12]付轲,蔡泽祥,邱建,等.10 kV电网电磁合环操作安全性评估方法[J].电力系统及其自动化学报,2010,22(4):71-76.Fu Ke,Cai Zexiang,Qiu Jian,et al.Safety assessment methods of loop closing operation in 10 kV distribution network[J].Proceedings of the Chinese Society of Universities for Electric Power System and its Automation,2010,22(4):71-76(in Chinese).
[13]石东源,蔡德福,陈金富,等.计及输入变量相关性的半不变量法概率潮流计算[J].中国电机工程学报,2012,32(28):104-113.Shi Dongyuan,Cai Defu,Chen Jinfu,et al.Probabilistic load flow calculation based on cumulant method considering correlation between input variables[J].Proceedings of the CSEE,2012,32(28):104-113(in Chinese).
[14]刘健,孙泉,张小庆,等.配电网合环分析与合环条件判断[J].电力系统自动化,2014,38(11):130-135.Liu Jian,Sun Quan,Zhang Xiaoqing,et al.Analysis on and criteria for loop closing operation for distribution grids[J].Automation of Electric Power Systems,2014,38(11):130-135(in Chinese).
[15]Pei Zhang,Lee S T.Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion[J].IEEE Transactions on Power Systems,2004,19(1):676-682.
[16]蔡东亮.基于最小二乘法的状态估计算法研究[D].济南:山东大学,2006.
[17]章坚民,相炜,罗刚,等.配电网30°相角差线路不停电转供的解决方案及关键分析[J].电力系统自动化,2018,42(1):74-81.Zhang Jianmin,Xiang Wei,Luo Gang,et al.Solution and its key issue analysis for load transfer without power interruption of distribution lines with 30°phase angle difference[J].Automation of Electric Power Systems,2018,42(1):74-81(in Chinese).
[18]张亮,章坚民,金乃正,等.配电网30°相角差线路不停电转供的混合顺控方法及试点验证[J].电力系统自动化,2018,42(2):128-135.Zhang Liang,Zhang Jianmin,Jin Naizheng,et al.Hybrid sequence control and pilot project verification for none-electricity-cut load transferring of distribution lines with 30 degree phase angle difference[J].Automation of Electric Power Systems,2018,42(2):128-135(in Chinese).