Node Vulnerability Assessment for Distribution Network Based on Complex Network Theory
WU Hui1, PENG Minfang1, ZHANG Haiyan1, ZHU Liang2, CHE Hongwei2, LIU Zhengyi2
1. College of Electrical and Information Engineering, Hunan University, Changsha 410082, China; 2. State Grid Hunan Electric Power Company, Changsha 410007, China
摘要配电网中节点脆弱性的大小是其结构鲁棒性的重要体现,为实现对配电网节点脆弱度的评估,提出对配电网节点脆弱度大小排序的方法。首先,构建配电网的复杂网络加权模型;其次,针对节点脆弱度评估中的度值、介数、凝聚度和紧密度等几个指标,结合主观和客观两方面信息构建描述各指标重要性的权重;最后,提出综合逼近理想排序(Technique for Order Preference by Similarity to Ideal Solution,TOPSIS)和灰色关联度的方法,实现对配电网节点脆弱度大小的排序。对几种典型的中压配电网进行计算,验证了本文方法的可行性,对IEEE123系统分析,结果表明多指标综合评估较单一指标评估更符合配网的实际特点。
Abstract:Vulnerable nodes are very important to structural robustness of distribution networks, in order to assess node vulnerability of distribution networks, a method of sorting the vulnerability of distribution network nodes is proposed. Firstly, build the weighted complex network model of distribution network. Secondly, set weights of indexes such as degree, betweenness, agglomeration and closeness to assess importance of each index in describing the vulnerability of nodes, in the perspective of both subjective and objective way. Finally, put forward a method to sort vulnerability of distribution network nodes based on technique for order preference by similarity to ideal solution (TOPSIS) and grey correlation analysis. Test on several typical medium voltage di-stribution networks verifies the feasibility of the method. Analysis of the IEEE123 distribution network shows that multiple index comprehensive evaluation is more reasonable in distribution network than single index eva-luation.
[1] Andersson G, Donalek P, Farmer R, et al. Causes of the 2003 major grid blackouts in North America and Europe, and rec-ommended means to improve system dynamic performance[J].IEEE Trans on Power Systems, 2005, 20(4): 1922-1928. [2] 柏文洁,汪秉宏,周涛.从复杂网络的观点看大停电事故[J].复杂系统与复杂性科学,2005,2(3):29-37. Bai Wenjie, Wang Binghong, Zhou Tao. Brief review of blackouts on electric power grids in view-point of complex netwo-rks[J].Complex Systems and Complexity Science, 2005, 2(3): 29-37. [3] 杨丽徙,林茂盛,张宏伟,等.中压配电网典型网络结构抗毁性评估[J].电力系统自动化,2012,36(1):28-31. Yang Lixi, Lin Maosheng, Zhang Hongwei, et al.Invulnerability evaluation of typical network structures for medium voltage distribution networks[J].Automation of Electric Power Systems, 2012, 36(1):28-31. [4] 杨丽徙,曾新梅,方强华,等.基于抗毁性分析的中压配电网络拓扑结构[J].电力系统自动化,2013,37(8):65-69. Yang Lixi, Zeng Xinmei, Fang Qianghua, et al. Medium voltage distribution network topology based on survivability analysis[J].Automation of Electric Power Systems, 2013, 37(8): 65-69. [5] 蔡晔,陈彦如,曹一家,等.基于加权网络结构熵的电网连锁故障研究[J].复杂系统与复杂性科学,2013,1(10):53-59. Cai Ye, Cen Yanru, Cao Yijia, et al. Cascading failure in weighted power grid based on structure entropy[J].Complex Systems and Complexity Science, 2013,1(10):53-59. [6] Suresh G, Sukumar M B. Detection of high impedance fault in power distribution systems using mathematical morphology[J].IEEE Transactions On Power Systems, 2013, 28(2):1226-1234. [7] 于会,刘尊,李勇军.基于多属性决策的复杂网络节点重要性综合评价方法[J].物理学报,2013,62(2):020402. Yu Hui, Liu Zun, Li Yongjun. Key nodes in complex networks identified by multiattribute decision-making method[J].Acta Phys Sin, 2013, 62(2): 020402. [8] 谭跃进,吴俊,邓宏钟.复杂网络中节点重要度评估的节点收缩方法[J].系统工程理论与实践,2006,11(11):79-83. Tan Yuejin, Wu Jun, Deng Hongzhong. Evaluation method for node importance based on node contraction in complex netwo-rks[J].System Engineering Theory and experience, 2006, 11(11): 79-83. [9] 张喜平,李永树,刘刚,等.节点重要度贡献的复杂网络节点重要度评估方法[J].复杂系统与复杂性科学,2014,11(3):26-32. Zhang Xiping, Li Yongshu, Liu Gang, et al. Evaluation method of importance of nodes in complex networks based on importance contribution[J].Complex Systems and Complexity Science, 2014,11(3):26-32. [10] Guo C N, Zhao Y D, Hill D J. Attack structural vulnerability of power grids: a hybrid approach based on complex networks[J].Physica A, 2010, 389(3): 595-603. [11] 周竞钰,曹一家,黎灿兵,等.基于基尼系数的复杂电网结构的异构性分析[J].复杂系统与复杂性科学,2011,8(2):51-58. Zhou Jingyu, Cao Yijia, Li Canbing, et al. Analysis of complex grid structure heterogeneity based on the gini coefficient[J].Complex Systems and Complexity Science, 2011, 8(2): 51-58. [12] Bompard E, Wu D, Xue F. Structural vulnerability of power systems: a topological approach[J].Electric Power Systems Research, 2011, 81(7): 1334-1340. [13] 蔡晔,曹一家,李勇,等.考虑电压等级和运行状态的电网脆弱线路辨识[J].中国电机工程学报,2014,34(13):2124-2131. Cai Ye, Cao Yijia, Li Yong, et al. Identification of vulnerable lines in urban power grid based on voltage grade and running state[J].Proceedings of the CSEE, 2014, 34(13): 2124-2131. [14] Sanchez J, Caire R, Hadjsaid N. ICT and power distribution modeling using complex networks[C].Grenoble: IEEE PES Powertech Conference, 2013: 1-6. [15] 孟祥萍,片兆宇,张龙斌,等基于母线间脆弱信息协调的配电网低电压风险评估[J].电网技术,2012,36(7):219-223. Meng Xiangping, Pian Zhaoyu, Zhang Longbin, et al. Low voltage risk assessment of distribution network based on information coordination of vulnerability among buses[J].Power System Technology, 2012, 36(7):219-223. [16] 李彦斌,于心怡,王致杰.采用灰色关联度TOPSIS法的光伏发电项目风险评价研究[J].电网技术,2013,37(6):1514-1519. Li Yanbin, Yu Xinyi, Wang Zhijie. Risk assessment on photovoltaic power generation project by grey correlation analysis and TOPSIS method[J].Power System Technology, 2013, 37(6): 1514-1519. [17] 刘若溪,张建华,吴迪.基于风险理论的配电网静态安全性评估指标研究[J].电力系统保护与控制,2011,39(15):89-96. Liu Ruoxi, Zhang Jianhua, Wu Di. Distribution network theory static security evaluation index research[J].Power System Protection and Control, 2011, 39(15): 89-96. [18] 丁明,过羿,张晶晶,等.基于效用风险熵权模糊综合评判的复杂电网节点脆弱性评估[J].电工技术学报,2015,30(3):214-223. Ding Ming, Guo Yi, Zhang Jingjing, et al. Node vulnerability assessment for complex power grids based on effect risk entropy-weighted fuzzy comprehensive evaluation[J].Transactions of China Electrotechnical Society, 2015, 30(3): 214-223. [19] 魏震波,刘俊勇,朱国俊,等.基于可靠性加权拓扑模型下的电网脆弱性评估模型[J].电工技术学报,2010,25(8):131-137. Wei Zhenbo, Liu Junyong, Zhu Guojun, et al. Vulnerability evaluation model to power grid based on reliability-parameter-weighted topological model[J].Transactions of China Electrotechnical Society, 2010, 25(8): 131-137. [20] 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 Ming, Han Pingping. Vulnerability assessment to small-world power grid based on weighted topological model. Procee-dings of the CSEE[J].Proceedings of The Chinese Society for Electrical, 2008, 28(10): 20-25. [21] 丁明,过羿,张晶晶.基于效用风险熵的复杂电网连锁故障脆弱性辨识[J].电力系统自动化,2013,37(17):52-57. Ding Ming, Guo Yi, Zhang Jingjing. Vulnerability identification for cascading failure of complex power grid based on effect risk entropy[J].Automation of Electric Power Systems, 2013, 37(17): 52-57. [22] 朱茵,孟志勇,阚叔愚.用层次分析法计算权重[J].北方交通大学学报,1999,23(5):119-122. Zhu Yin, Meng Zhiyong, Kan Shuyu. Determination of weight value by AHP[J].Journal of Northern Jiaotong University, 1999, 23(5): 119-122. [23] Kersting W H. Radial distribution test feeders[J].IEEE Trans on Power Systems, 1991, 6(3): 975-985.