基于支路开断脆弱度及传输介数的脆弱线路辨识算法
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摘要
为有效预防大规模连锁故障的发生,提出了一种基于综合指标的脆弱线路辨识方法。首先对支路分布开断因子进行修正,并考虑潮流转移方向的影响,提出支路开断脆弱度以反映线路的开断脆弱性;然后针对传统介数指标的不足,结合功率传输分布因子的定义对其进行改进,构建传输介数指标以反映线路的波动脆弱性。将两者结合作为辨识脆弱线路的综合指标,采用理想解法(TOPSIS)对线路脆弱程度进行排序,筛选出系统中的脆弱线路。最后通过新英格兰39节点系统进行仿真验证,采用蒙特卡洛随机模拟的方式对所选线路进行攻击,计算功率分散水平以反映系统安全性的变化情况,与相关文献进行对比,对比结果证明了所选线路的脆弱性及辨识结果的合理性。
In order to prevent large-scale cascading outages effectively,a method based on comprehensive indicators to identify vulnerable lines was proposed.First,the branch removal distribution factor was modified,and the influence of power flow transferring direction was considered,so the branch removal vulnerability was proposed to reflect the removal vulnerability of the branch.Then,in view of the shortage of traditional betweenness,it was improved by the definition of power transmission distribution factor,and the transferring betweenness was constructed to reflect the fluctuation vulnerability of the line.By combining them as a comprehensive index to identify vulnerable lines,TOPSIS was utilized to rank the vulnerability of the lines,so as to screen out the vulnerable lines from the grid.Finally,with the New England 39-node system,Monte Carlo random simulation method was used to attack the selected lines,and the power dispersion level was calculated to reflect the change of the system safety.Compared with the related literature,the vulnerability of the selected lines and the rationality of the identification results are proved.
In order to prevent large-scale cascading outages effectively,a method based on comprehensive indicators to identify vulnerable lines was proposed.First,the branch removal distribution factor was modified,and the influence of power flow transferring direction was considered,so the branch removal vulnerability was proposed to reflect the removal vulnerability of the branch.Then,in view of the shortage of traditional betweenness,it was improved by the definition of power transmission distribution factor,and the transferring betweenness was constructed to reflect the fluctuation vulnerability of the line.By combining them as a comprehensive index to identify vulnerable lines,TOPSIS was utilized to rank the vulnerability of the lines,so as to screen out the vulnerable lines from the grid.Finally,with the New England 39-node system,Monte Carlo random simulation method was used to attack the selected lines,and the power dispersion level was calculated to reflect the change of the system safety.Compared with the related literature,the vulnerability of the selected lines and the rationality of the identification results are proved.
引文
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[12]任建文,魏俊姣.电力系统脆弱线路的识别及其输电断面搜索[J].电力自动化设备,2015,35(7):37-42.REN J W,WEI J J.Vulnerable line identification and its transmission section search for power system[J].Electric Power Automation Equipment,2015,35(7):37-42.
[13]任建文,何培成,李刚.基于虚拟支路模型与FTIL的多支路开断潮流转移搜索新算法[J].电网技术,2017,41(1):194-200.REN J W,HE P C,LI G.A new searching algorithm of power flow transferring for multi-branch removal event based on virtual-branch model and FTIL[J].Power System Technology,2017,41(1):194-200.
[14]鞠文云,李银红.基于最大流传输贡献度的电力网关键线路和节点辨识[J].电力系统自动化,2012,36(9):6-12.JU W Y,LI Y H.Identification of critical lines and nodes in power grid based on maximum flow transmission contribution degree[J].Automation of Electric Power Systems,2012,36(9):6-12.
[15]司守奎,孙玺菁.数学建模算法与应用[M].北京:国防工业出版社,2014:345-347.
[16]韩泽文,苏永清,岳继光,等.电网脆弱性综合指标建立与评估[J].电力建设,2015,36(8):89-94.HAN Z W,SU Y Q,YUE J G,et al.Establishment and assessment of power grid vulnerability comprehensive index[J].Electric Power Construction,2015,36(8):89-94.
[2]梁志峰,葛睿,董昱,等.印度“7.30”、“7.31”大停电事故分析及对我国电网调度运行工作的启示[J].电网技术,2013,37(7):1841-1847.LIANG Z F,GE R,DONG Y,et al.Analysis of large-scale blackout occurred on July 30and July 31 2012in India and its lessons to China's power grid dispatch and operation[J].Power System Technology,2013,37(7):1841-1847.
[3]梁颖,方瑞明,卢小芬,等.基于复杂网络理论的电力系统脆弱线路辨识研究现状[J].电力系统保护与控制,2012,40(20):151-155.LIANG Y,FANG R M,LU X F,et al.Research status of power system vulnerable line identification based on complex-network theory[J].Power System Protection and Control,2012,40(20):151-155.
[4]曹一家,陈晓刚,孙可.基于复杂网络理论的大型电力系统脆弱线路辨识[J].电力自动化设备,2006(12):1-5,31.CAO Y J,CHEN X G,SUN K.Identification of vulnerable lines in power grid based on complex network theory[J].Electric Power Automation Equipment,2006(12):1-5,31.
[5]丁明,韩平平.加权拓扑模型下的小世界电网脆弱性评估[J].中国电机工程学报,2008,28(10):20-25.DING M,HAN P P.Vulnerability assessment to small-world power grid based on weighted topological model[J].Proceedings of the Chinese Society for Electrical Engineering,2008,28(10):20-25.
[6] BOMPARD E,NAPOLI R,XUE F.Extended topological approach for the assessment of structural vulnerability in transmission networks[J].IEEE System Journal,2012,6(3):481-487.
[7] BOMPARD E,PONS E,WU D.Extended topological metrics for the analysis of power grid vulnerability[J].IET Generation,Transmission&Distribution,2010,4(6):716-724.
[8]熊世旺,郭创新,何宇斌,等.考虑线路介数和well-being风险贡献度的电网脆弱线路评估[J].电力建设,2015,36(12):84-90.XIONG S W,GUO C X,HE Y B,et al.Vulnerable line evaluation in power grid considering line betweenness and well-being risk contribution degree[J].Electric Power Construction,2015,36(12):84-90.
[9]徐林,王秀丽,王锡凡.电气介数及其在电力系统关键线路识别中的应用[J].中国电机工程学报,2010,30(1):33-39.XU L,WANG X L,WANG X F.Electric betweenness and its application in vulnerable line identification in power system[J].Proceedings of the CSEE,2010,30(1):33-39.
[10]张富超,谢成荣,沈立新,等.基于源流路径链和输电介数的电网关键线路辨识[J].电力系统保护与控制,2015,43(21):7-12.ZHANG F C,XIE C R,SHEN L X,et al.Identification of power grid critical lines based on path chains and transmission betweenness[J].Power System Protection and Control,2015,43(21):7-12.
[11]张涛,孙晓伟,徐雪琴,等.基于有功潮流介数的电网关键线路辨识[J].电网技术,2016,40(1):193-198.ZHANG T,SUN X W,XU X Q,et al.Identification of critical lines in power grid based on active power flow betweenness[J].Power System Technology,2016,40(1):193-198.
[12]任建文,魏俊姣.电力系统脆弱线路的识别及其输电断面搜索[J].电力自动化设备,2015,35(7):37-42.REN J W,WEI J J.Vulnerable line identification and its transmission section search for power system[J].Electric Power Automation Equipment,2015,35(7):37-42.
[13]任建文,何培成,李刚.基于虚拟支路模型与FTIL的多支路开断潮流转移搜索新算法[J].电网技术,2017,41(1):194-200.REN J W,HE P C,LI G.A new searching algorithm of power flow transferring for multi-branch removal event based on virtual-branch model and FTIL[J].Power System Technology,2017,41(1):194-200.
[14]鞠文云,李银红.基于最大流传输贡献度的电力网关键线路和节点辨识[J].电力系统自动化,2012,36(9):6-12.JU W Y,LI Y H.Identification of critical lines and nodes in power grid based on maximum flow transmission contribution degree[J].Automation of Electric Power Systems,2012,36(9):6-12.
[15]司守奎,孙玺菁.数学建模算法与应用[M].北京:国防工业出版社,2014:345-347.
[16]韩泽文,苏永清,岳继光,等.电网脆弱性综合指标建立与评估[J].电力建设,2015,36(8):89-94.HAN Z W,SU Y Q,YUE J G,et al.Establishment and assessment of power grid vulnerability comprehensive index[J].Electric Power Construction,2015,36(8):89-94.