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电力系统脆弱线路辨识研究现状

刘志刚 张乔 何晓凤 范文礼

刘志刚, 张乔, 何晓凤, 范文礼. 电力系统脆弱线路辨识研究现状[J]. 西南交通大学学报, 2021, 56(4): 673-688. doi: 10.3969/j.issn.0258-2724.20200717
引用本文: 刘志刚, 张乔, 何晓凤, 范文礼. 电力系统脆弱线路辨识研究现状[J]. 西南交通大学学报, 2021, 56(4): 673-688. doi: 10.3969/j.issn.0258-2724.20200717
LIU Zhigang, ZHANG Qiao, HE Xiaofeng, FAN Wenli. A Review of Vulnerable Line Identification in Power Systems[J]. Journal of Southwest Jiaotong University, 2021, 56(4): 673-688. doi: 10.3969/j.issn.0258-2724.20200717
Citation: LIU Zhigang, ZHANG Qiao, HE Xiaofeng, FAN Wenli. A Review of Vulnerable Line Identification in Power Systems[J]. Journal of Southwest Jiaotong University, 2021, 56(4): 673-688. doi: 10.3969/j.issn.0258-2724.20200717

电力系统脆弱线路辨识研究现状

doi: 10.3969/j.issn.0258-2724.20200717
基金项目: 教育部人文社会科学研究青年基金(18YJCZH028);中央高校基本科研业务费专项资金(A0920502052001-1);成都市软科学研究项目(2020-RK00-00367-ZF)
详细信息
    作者简介:

    刘志刚(1975—),男,教授,博士,研究方向为电力系统及其自动化,E-mail:liuzg_cd@126.com

  • 中图分类号: TM73

A Review of Vulnerable Line Identification in Power Systems

  • 摘要: 随着电网进一步互联互通,大停电事故波及的范围越来越大. 电力系统脆弱线路的辨识对预防连锁故障发生、保障系统安全稳定运行具有重要的理论和现实意义. 为此,综述了目前电力系统脆弱线路辨识的研究方法. 将近年来电力系统脆弱辨识方法的相关研究成果分为两大类:第一类基于电力系统状态分析,以潮流计算和电网动态特性为核心,介绍了熵理论法、连锁故障模拟法、风险评估法、能量函数法和强化学习法5种方法在电力系统脆弱线路辨识中的应用;第二类以复杂网络理论为背景,详细归纳了改进介数法、最大流理论法和对偶图法在电力系统脆弱线路辨识中的应用. 然后分析了现有方法具有兼顾系统结构和状态、考虑系统静动态特性的优点,以及缺乏考虑源荷不确定性,仅仅考虑单一线路脆弱性的不足. 最后,结合电力系统发展需求,提出了考虑新能源并网、移动冲击负荷接入、基于数据驱动以及组合脆弱线路辨识为下一步的主要研究方向.

     

  • 图 1  连锁故障发展过程

    Figure 1.  Development of cascading failure

    图 2  脆弱线路辨识方法分类

    Figure 2.  Classification of vulnerable line identification methods

    图 3  对偶图建立过程示意

    Figure 3.  Schematic of dual graph establishment process

    图 4  新能源接入电网示意

    Figure 4.  Schematic of new energy integrated to power grid

    图 5  移动冲击负荷接入电网示意

    Figure 5.  Schematic of mobile shock load accessing power grid

    表  1  不同辨识方法的主要优缺点比较

    Table  1.   Comparison of main advantages and disadvantages of different identification methods

    方法优点缺点
    电力系统
    状态分析
    熵理论法  整体考虑了系统能量平衡与能量的转移  对电网整体的结构脆弱性考虑不足
    能量函数法 考虑了能量与电压对系统稳定性的影响,考虑了电力系统静态和暂态过程   对电网整体的结构脆弱性考虑不足,时间复杂度高
    连锁故障模拟法  充分考虑了连锁故障传播的动态机制,运用了静态安全域理论,考虑了负荷的动态特性及电压稳定性  计算的时间成本高,效率相对较低
    风险评估法  可以根据自身区域电网特性选取指标因素,考虑天气、负荷水平等不确定因素,与实际运行经验相符  需要系统运行的历史数据
    强化学习法  思路新颖,是人工智能在电力系统中的应用,可以离线学习,在线应用,计算效率高  欠缺对电网整体结构脆弱性的考虑
    复杂网络理论 介数法  充分将电力网络的结构和状态结合起来,考虑线路的容量约束  对电力系统动态特性考虑不足
    最大流理论  考虑线路容量约束,量化了线路传输潮流的贡献度  对电力系统动态特性考虑不足
    对偶图法  将脆弱线路的识别转化为脆弱节点的识别,可同时计及系统结构特性和运行状态特性,计算效率高,速度快  需要额外建立衍生网络,增加了辨识步骤,考虑因素单一
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  • LIU Yongyan. Analysis of Brazilian blackout on March 21st, 2018 and revelations to security for Hunan grid[C]//2019 4th International Conference on Intelligent Green Building and Smart Grid (IGBSG). Yichang: IEEE, 2019: 1-5.
    曾辉,孙峰,李铁,等. 澳大利亚“9•28”大停电事故分析及对中国启示[J]. 电力系统自动化,2017,41(13): 1-6. doi: 10.7500/AEPS20170120002

    ZENG Hui, SUN Feng, LI Tie, et al. Analysis of “9•28” blackout in south Australia and its enlightenment to China[J]. Automation of Electric Power Systems, 2017, 41(13): 1-6. doi: 10.7500/AEPS20170120002
    李保杰,李进波,李洪杰,等. 土耳其“3•31”大停电事故的分析及对我国电网安全运行的启示[J]. 中国电机工程学报,2016,36(21): 5788-5795,6021.

    LI Baojie, LI Jinbo, LI Hongjie, et al. Analysis of Turkish blackout on March 31,2015 and lessons on China power grid[J]. Proceedings of the CSEE, 2016, 36(21): 5788-5795,6021.
    HUI Hongxun, DING Yi, LUAN Kaining, et al. Analysis of “8•15” blackout in Taiwan and the improvement method of contingency reserve capacity through direct load control[C]//2018 IEEE Power & Energy Society General Meeting (PESGM). Portland: IEEE, 2018: 1-5.
    VELOZA O P, SANTAMARIA F. Analysis of major blackouts from 2003 to 2015:classification of incidents and review of main causes[J]. The Electricity Journal, 2016, 29(7): 42-49. doi: 10.1016/j.tej.2016.08.006
    GUO Hengdao, ZHENG Ciyan, IU H H C, et al. A critical review of cascading failure analysis and modeling of power system[J]. Renewable and Sustainable Energy Reviews, 2017, 80: 9-22. doi: 10.1016/j.rser.2017.05.206
    YANG Yang, NISHIKAWA T, MOTTER A E. Small vulnerable sets determine large network cascades in power grids[J]. Science, 2017, 358(6365): eaan3184.1-eaan3184.7.
    D'SOUZA R M. Curtailing cascading failures[J]. Science, 2017, 358(6365): 860-861. doi: 10.1126/science.aaq0474
    WATTS D J, STROGATZ S H. Collective dynamics of “small-world” networks[J]. Nature, 1998, 393(6684): 440-442. doi: 10.1038/30918
    ALBERT R, JEONG H, BARABÁSI A L. Error and attack tolerance of complex networks[J]. Nature, 2000, 406(6794): 378-382.
    王彦东. 计及风电场接入的电力系统脆弱线路辨识及连锁故障预警模型研究[D]. 泉州: 华侨大学, 2017.
    李勇,刘俊勇,刘晓宇,等. 基于潮流熵测度的连锁故障脆弱线路评估及其在四川主干电网中的应用[J]. 电力自动化设备,2013,33(10): 40-46. doi: 10.3969/j.issn.1006-6047.2013.10.007

    LI Yong, LIU Junyong, LIU Xiaoyu, et al. Vulnerability assessment based on power flow entropy for lines in cascading failures and its application in Sichuan backbone power grid[J]. Electric Power Automation Equipment, 2013, 33(10): 40-46. doi: 10.3969/j.issn.1006-6047.2013.10.007
    李勇,刘俊勇,刘晓宇,等. 基于潮流熵的电网连锁故障传播元件的脆弱性评估[J]. 电力系统自动化,2012,36(19): 11-16.

    LI Yong, LIU Junyong, LIU Xiaoyu, et al. Vulnerability assessment in power grid cascading failures based on entropy of power flow[J]. Automation of Electric Power Systems, 2012, 36(19): 11-16.
    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.
    BOMPARD E, NAPOLI R, XUE Fei. Analysis of structural vulnerabilities in power transmission grids[J]. International Journal of Critical Infrastructure Protection, 2009, 2(1/2): 5-12.
    FANG Ruiming, SHANG Rongyan, WANG Yandong, et al. Identification of vulnerable lines in power grids with wind power integration based on a weighted entropy analysis method[J]. International Journal of Hydrogen Energy, 2017, 42(31): 20269-20276. doi: 10.1016/j.ijhydene.2017.06.039
    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. doi: 10.7500/AEPS201301183

    DING Ming, GUO Yi, ZHANG Jingjing. Vulnerability identification for cascading failures of complex power grid based on effect risk entropy[J]. Automation of Electric Power Systems, 2013, 37(17): 52-57. doi: 10.7500/AEPS201301183
    靳冰洁,张步涵,姚建国,等. 基于信息熵的大型电力系统元件脆弱性评估[J]. 电力系统自动化,2015,39(5): 61-68. doi: 10.7500/AEPS20140405004

    JIN Bingjie, ZHANG Buhan, YAO Jianguo, et al. Large-scale power system components vulnerability assessment based on entropy[J]. Automation of Electric Power Systems, 2015, 39(5): 61-68. doi: 10.7500/AEPS20140405004
    刘威,张东霞,丁玉成,等. 基于随机矩阵理论与熵理论的电网薄弱环节辨识方法[J]. 中国电机工程学报,2017,37(20): 5893-5901.

    LIU Wei, ZHANG Dongxia, DING Yucheng, et al. Power grid vulnerability identification methods based on random matrix theory and entropy theory[J]. Proceedings of the CSEE, 2017, 37(20): 5893-5901.
    DOBSON I, CARRERAS B A, LYNCH V E, et al. An initial model for complex dynamics in electric power system blackouts[C]//Proceedings of the 34th Annual Hawaii International Conference on System Sciences. Maui: IEEE, 2001: 710-718.
    CHEN J, THORP J S, DOBSON I. Cascading dynamics and mitigation assessment in power system disturbances via a hidden failure model[J]. International Journal of Electrical Power & Energy Systems, 2005, 27(4): 318-326.
    QI Junjian, MEI Shengwei, LIU Feng. Blackout model considering slow process[J]. IEEE Transactions on Power Systems, 2013, 28(3): 3274-3282. doi: 10.1109/TPWRS.2012.2230196
    MEI Shengwei, HE Fei, ZHANG Xuemin, et al. An improved OPA model and blackout risk assessment[J]. IEEE Transactions on Power Systems, 2009, 24(2): 814-823. doi: 10.1109/TPWRS.2009.2016521
    HENNEAUX P, LABEAU P E, MAUN J C, et al. A two-level probabilistic risk assessment of cascading outages[J]. IEEE Transactions on Power Systems, 2016, 31(3): 2393-2403. doi: 10.1109/TPWRS.2015.2439214
    RIOS M A, KIRSCHEN D S, JAYAWEERA D, et al. Value of security:modeling time-dependent phenomena and weather conditions[J]. IEEE Transactions on Power Systems, 2002, 17(3): 543-548. doi: 10.1109/TPWRS.2002.800872
    NEDIC D P, DOBSON I, KIRSCHEN D S, et al. Criticality in a cascading failure blackout model[J]. International Journal of Electrical Power & Energy Systems, 2006, 28(9): 627-633.
    CARRERAS B A, LYNCH V E, DOBSON I, et al. Critical points and transitions in an electric power transmission model for cascading failure blackouts[J]. Chaos:an Interdisciplinary Journal of Nonlinear Science, 2002, 12(4): 985-994. doi: 10.1063/1.1505810
    MEI Shengwei, NI Yixin, WANG Gang, et al. A study of self-organized criticality of power system under cascading failures based on AC-OPF with voltage stability margin[J]. IEEE Transactions on Power Systems, 2008, 23(4): 1719-1726. doi: 10.1109/TPWRS.2008.2002295
    YAO Rui, HUANG Shaowei, SUN Kai, et al. A multi-timescale quasi-dynamic model for simulation of cascading outages[J]. IEEE Transactions on Power Systems, 2016, 31(4): 3189-3201. doi: 10.1109/TPWRS.2015.2466116
    YAO Rui, HUANG Shaowei, SUN Kai, et al. Risk assessment of multi-timescale cascading outages based on Markovian tree search[J]. IEEE Transactions on Power Systems, 2017, 32(4): 2887-2900. doi: 10.1109/TPWRS.2016.2618365
    谭玉东,李欣然,蔡晔,等. 基于动态潮流的电网连锁故障模型及关键线路识别[J]. 中国电机工程学报,2015,35(3): 615-622.

    TAN Yudong, LI Xinran, CAI Ye, et al. Modeling cascading failures in power grid based on dynamic power flow and vulnerable line identification[J]. Proceedings of the CSEE, 2015, 35(3): 615-622.
    曾凯文,文劲宇,程时杰,等. 复杂电网连锁故障下的关键线路辨识[J]. 中国电机工程学报,2014,34(7): 1103-1112.

    ZENG Kaiwen, WEN Jinyu, CHENG Shijie, et al. Critical line identification of complex power system in cascading failure[J]. Proceedings of the CSEE, 2014, 34(7): 1103-1112.
    LUO Chao, YANG Jun, SUN Yuanzhang, et al. Identify critical branches with cascading failure chain statistics and hypertext-induced topic search algorithm[C]//2017 IEEE Power & Energy Society General Meeting. Chicago: IEEE, 2017: 1-5.
    程林,刘满君,易俊,等. 基于运行可靠性模型的连锁故障模拟及薄弱环节分析[J]. 电网技术,2016,40(5): 1488-1494.

    CHENG Lin, LIU Manjun, YI Jun, et al. The power system cascading outage simulation and vulnerability analysis based on operational reliability model[J]. Power System Technology, 2016, 40(5): 1488-1494.
    张至美,黄少伟,梅生伟,等. 基于合作博弈的电网支路脆弱性评估方法[J]. 电力系统自动化,2020,44(6): 9-16. doi: 10.7500/AEPS20190626005

    ZHANG Zhimei, HUANG Shaowei, MEI Shengwei, et al. Vulnerability assessment method of branch lines in power grid based on cooperative game[J]. Automation of Electric Power Systems, 2020, 44(6): 9-16. doi: 10.7500/AEPS20190626005
    周强明,姜盛波,鲁鸿毅,等. 基于FP-growth算法的大电网关键线路辨识方法[J]. 电力自动化设备,2018,38(4): 89-95.

    ZHOU Qiangming, JIANG Shengbo, LU Hongyi, et al. Critical line identification method based on FP-growth algorithm for large power grid[J]. Electric Power Automation Equipment, 2018, 38(4): 89-95.
    JIANG Shengbo, PAN Xueli, XIAO Yi, et al. Identification of vulnerable lines in large power grid based on FP-growth algorithm[J]. The Journal of Engineering, 2017, 2017(13): 1862-1866. doi: 10.1049/joe.2017.0654
    VAIMAN, BELL, CHEN, et al. Risk assessment of cascading outages:methodologies and challenges[J]. IEEE Transactions on Power Systems, 2012, 27(2): 631-641. doi: 10.1109/TPWRS.2011.2177868
    ABDIN I, LI Yanfu, ZIO E. Risk assessment of power transmission network failures in a uniform pricing electricity market environment[J]. Energy, 2017, 138: 1042-1055. doi: 10.1016/j.energy.2017.07.115
    YU Juan, LI Wenyuan, YAN Wei, et al. Evaluating risk indices of weak lines and buses causing static voltage instability[C]//2011 IEEE Power and Energy Society General Meeting. Detroit: IEEE, 2011: 1-7.
    MARSADEK M, MOHAMED A, NORPIAH Z M. Risk of static security assessment of a power system using non-sequential Monte Carlo simulation[J]. Journal of Applied Sciences, 2011, 11(2): 300-307. doi: 10.3923/jas.2011.300.307
    ROCCHETTA R, PATELLI E. Assessment of power grid vulnerabilities accounting for stochastic loads and model imprecision[J]. International Journal of Electrical Power & Energy Systems, 2018, 98: 219-232.
    XIAO Fei, MCCALLEY J D. Power system risk assessment and control in a multiobjective framework[J]. IEEE Transactions on Power Systems, 2009, 24(1): 78-85. doi: 10.1109/TPWRS.2008.2004823
    LI Xue, ZHANG Xiong, WU Lei, et al. Transmission line overload risk assessment for power systems with wind and load-power generation correlation[J]. IEEE Transactions on Smart Grid, 2015, 6(3): 1233-1242. doi: 10.1109/TSG.2014.2387281
    王安斯,罗毅,涂光瑜,等. 基于事故链风险指标的输电脆弱度在线评估方法[J]. 中国电机工程学报,2010,30(25): 44-50.

    WANG Ansi, LUO Yi, TU Guangyu, et al. Online transmission vulnerability assessment method based on the fault chain risk index[J]. Proceedings of the CSEE, 2010, 30(25): 44-50.
    ALALI D, GRIFFITHS H, CIPCIGAN L M, et al. Assessment of line overloading risk for transmission networks[C]//11th IET International Conference on AC and DC Power Transmission. Birmingham: IET, 2015: 1-6.
    卢恩,鲁晓军,龙霏,等. 电力系统停电风险评估指标及方法[J]. 电力自动化设备,2015,35(3): 68-74.

    LU En, LU Xiaojun, LONG Fei, et al. Indexes and method of power system outage risk assessment[J]. Electric Power Automation Equipment, 2015, 35(3): 68-74.
    张毅明,张忠会,姚峰,等. 基于风险理论的电力系统元件风险评估[J]. 电力系统保护与控制,2013,41(23): 73-78. doi: 10.7667/j.issn.1674-3415.2013.23.012

    ZHANG Yiming, ZHANG Zhonghui, YAO Feng, et al. Risk assessment of power system components based on the risk theory[J]. Power System Protection and Control, 2013, 41(23): 73-78. doi: 10.7667/j.issn.1674-3415.2013.23.012
    ROCCHETTA R, LI Y F, ZIO E. Risk assessment and risk-cost optimization of distributed power generation systems considering extreme weather conditions[J]. Reliability Engineering & System Safety, 2015, 136: 47-61.
    丁雪阳,刘新东. 基于最优风险指标的连锁故障模型和薄弱线路辨识[J]. 电力系统自动化,2011,35(18): 7-10,86.

    DING Xueyang, LIU Xindong. A cascading failure model and high-risk line identification based on an optimal risk index[J]. Automation of Electric Power Systems, 2011, 35(18): 7-10,86.
    苏慧玲,李扬. 基于电力系统复杂网络特征的线路脆弱性风险分析[J]. 电力自动化设备,2014,34(2): 101-107. doi: 10.3969/j.issn.1006-6047.2014.02.018

    SU Huiling, LI Yang. Line vulnerability risk analysis based on complex network characteristics of power system[J]. Electric Power Automation Equipment, 2014, 34(2): 101-107. doi: 10.3969/j.issn.1006-6047.2014.02.018
    BERGEN A R, HILL D J. A structure preserving model for power system stability analysis[J]. IEEE Transactions on Power Apparatus and Systems, 1981, PAS-100(1): 25-35. doi: 10.1109/TPAS.1981.316883
    黄昭蒙,李华强,杜涛,等. 基于支路能量函数的脆弱支路评估[J]. 电力系统保护与控制,2012,40(15): 7-11,115. doi: 10.7667/j.issn.1674-3415.2012.15.002

    HUANG Zhaomeng, LI Huaqiang, DU Tao, et al. Vulnerable branch assessment based on branch energy function[J]. Power System Protection and Control, 2012, 40(15): 7-11,115. doi: 10.7667/j.issn.1674-3415.2012.15.002
    CAI G W, CHAN K W, YUAN W P, et al. Identification of the vulnerable transmission segment and cluster of critical machines using line transient potential energy[J]. International Journal of Electrical Power & Energy Systems, 2007, 29(3): 199-207.
    黄燕,李华强,黄涛,等. 基于复杂网络和暂态能量函数的支路暂态脆弱性评估[J]. 电力系统保护与控制,2014,42(20): 69-74. doi: 10.7667/j.issn.1674-3415.2014.20.012

    HUANG Yan, LI Huaqiang, HUANG Tao, et al. Branch transient vulnerability assessment based on the complex network and transient energy function[J]. Power System Protection and Control, 2014, 42(20): 69-74. doi: 10.7667/j.issn.1674-3415.2014.20.012
    刘友波,刘俊勇,王民昆,等. 计及动能注入介数的线路暂态脆弱性快速评估[J]. 中国电机工程学报,2011,31(13): 40-47.

    LIU Youbo, LIU Junyong, WANG Minkun, et al. Fast assessment method for transient vulnerability of transmission lines based on kinetic energy injection betweenness[J]. Proceedings of the CSEE, 2011, 31(13): 40-47.
    李勇,刘俊勇,刘晓宇,等. 基于广义支路能量时空分布熵测度的线路脆弱度评估[J]. 中国电机工程学报,2013,33(34): 187-196,28.

    LI Yong, LIU Junyong, LIU Xiaoyu, et al. Assessment of vulnerable lines in power grid based on entropy of generalized branch energy[J]. Proceedings of the CSEE, 2013, 33(34): 187-196,28.
    YAN Jun, HE Haibo, ZHONG Xiangnan, et al. Q-learning-based vulnerability analysis of smart grid against sequential topology attacks[J]. IEEE Transactions on Information Forensics and Security, 2017, 12(1): 200-210. doi: 10.1109/TIFS.2016.2607701
    曾令康,姚伟,艾小猛,等. 基于双Q学习的考虑暂态稳定约束的电网薄弱线路辨识[J]. 中国电机工程学报,2020,40(8): 2429-2441.

    ZENG Lingkang, YAO Wei, AI Xiaomeng, et al. Double Q-learning based identification of weak lines in power grid considering transient stability constraints[J]. Proceedings of the CSEE, 2020, 40(8): 2429-2441.
    ZHANG Zhimei, HUANG Shaowei, CHEN Ying, et al. Key branches identification for cascading failure based on Q-learning algorithm[C]//2016 IEEE International Conference on Power System Technology (POWERCON). Wollongong: IEEE, 2016: 1-6.
    ZHANG Zhimei, YAO Rui, HUANG Shaowei, et al. An online search method for representative risky fault chains based on reinforcement learning and knowledge transfer[J]. IEEE Transactions on Power Systems, 2020, 35(3): 1856-1867. doi: 10.1109/TPWRS.2019.2951171
    魏震波,苟竞. 复杂网络理论在电网分析中的应用与探讨[J]. 电网技术,2015,39(1): 279-287.

    WEI Zhenbo, GOU Jing. An overview on application of complex network theory in power system analysis[J]. Power System Technology, 2015, 39(1): 279-287.
    孟仲伟,鲁宗相,宋靖雁. 中美电网的小世界拓扑模型比较分析[J]. 电力系统自动化,2004,28(15): 21-24,29. doi: 10.3321/j.issn:1000-1026.2004.15.004

    MENG Zhongwei, LU Zongxiang, SONG Jingyan. Comparison analysis of the small-world topological model of Chinese and American power grids[J]. Automation of Electric Power Systems, 2004, 28(15): 21-24,29. doi: 10.3321/j.issn:1000-1026.2004.15.004
    XU Tu, CHEN Jie, HE Yue, et al. Complex network properties of Chinese power grid[J]. International Journal of Modern Physics B, 2004, 18(17n19): 2599-2603. doi: 10.1142/S0217979204025749
    BARABÁSI A L, ALBERT R. Emergence of scaling in random networks[J]. Science, 1999, 286(5439): 509-512. doi: 10.1126/science.286.5439.509
    CRUCITTI P, LATORA V, MARCHIORI M. A topological analysis of the Italian electric power grid[J]. Physica A: Statistical Mechanics & Its Applications, 2004, 338: 92-97.
    BULDYREV S V, PARSHANI R, PAUL G, et al. Catastrophic cascade of failures in interdependent networks[J]. Nature, 2010, 464(7291): 1025-1028. doi: 10.1038/nature08932
    范文礼,刘志刚. 基于传输效率矩阵的复杂网络节点重要度排序方法[J]. 西南交通大学学报,2014,49(2): 337-342. doi: 10.3969/j.issn.0258-2724.2014.02.023

    FAN Wenli, LIU Zhigang. Ranking method for node importance based on efficiency matrix[J]. Journal of Southwest Jiaotong University, 2014, 49(2): 337-342. doi: 10.3969/j.issn.0258-2724.2014.02.023
    ANDERSSON G, DONALEK P, FARMER R, et al. Causes of the 2003 major grid blackouts in North America and Europe,and recommended means to improve system dynamic performance[J]. IEEE Transactions on Power Systems, 2005, 20(4): 1922-1928. doi: 10.1109/TPWRS.2005.857942
    GAO Qinghe, WANG Yawei, CHENG Xiuzhen, et al. Identification of vulnerable lines in smart grid systems based on affinity propagation clustering[J]. IEEE Internet of Things Journal, 2019, 6(3): 5163-5171. doi: 10.1109/JIOT.2019.2897434
    CHEN Guo, DONG Zhaoyang, HILL D J, et al. An improved model for structural vulnerability analysis of power networks[J]. Physica A:Statistical Mechanics and Its Applications, 2009, 388(19): 4259-4266. doi: 10.1016/j.physa.2009.06.041
    ROSAS-CASALS M, VALVERDE S, SOLÉ R V. Topological vulnerability of the European power grid under errors and attacks[J]. International Journal of Bifurcation and Chaos, 2007, 17(7): 2465-2475. doi: 10.1142/S0218127407018531
    刘耀年,术茜,康科飞,等. 基于电抗加权介数指标的电网脆弱线路识别[J]. 电力系统保护与控制,2011,39(23): 89-92,100. doi: 10.7667/j.issn.1674-3415.2011.23.019

    LIU Yaonian, ZHU Xi, KANG Kefei, et al. Identification of vulnerable lines in power grid based on the weighted reactance betweenness index[J]. Power System Protection and Control, 2011, 39(23): 89-92,100. doi: 10.7667/j.issn.1674-3415.2011.23.019
    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. doi: 10.3321/j.issn:0258-8013.2008.10.004

    DING Ming, HAN Pingping. Vulnerability assessment to small-world power grid based on weighted topological model[J]. Proceedings of the CSEE, 2008, 28(10): 20-25. doi: 10.3321/j.issn:0258-8013.2008.10.004
    BOMPARD E, WU Di, XUE Fei. Structural vulnerability of power systems:a topological approach[J]. Electric Power Systems Research, 2011, 81(7): 1334-1340. doi: 10.1016/j.jpgr.2011.01.021
    BOMPARD E, NAPOLI R, XUE Fei. Extended topological approach for the assessment of structural vulnerability in transmission networks[J]. IET Generation,Transmission & Distribution, 2010, 4(6): 716-724.
    BOMPARD E, PONS E, WU Di. Extended topological metrics for the analysis of power grid vulnerability[J]. IEEE Systems Journal, 2012, 6(3): 481-487. doi: 10.1109/JSYST.2012.2190688
    POUDEL S, ZHEN Ni, SUN Wei. Electrical distance approach for searching vulnerable branches during contingencies[J]. IEEE Transactions on Smart Grid, 2018, 9(4): 3373-3382. doi: 10.1109/TSG.2016.2631622
    GUPTA S, KAZI F, WAGH S, et al. Analysis and prediction of vulnerability in smart power transmission system:a geometrical approach[J]. International Journal of Electrical Power & Energy Systems, 2018, 94: 77-87.
    WANG Kai, ZHANG Buhan, ZHANG Zhe, et al. An electrical betweenness approach for vulnerability assessment of power grids considering the capacity of generators and load[J]. Physica A:Statistical Mechanics and Its Applications, 2011, 390(23/24): 4692-4701.
    徐林,王秀丽,王锡凡. 基于电气介数的电网连锁故障传播机制与积极防御[J]. 中国电机工程学报,2010,30(13): 61-68.

    XU Lin, WANG Xiuli, WANG Xifan. Cascading failure mechanism in power grid based on electric betweenness and active defence[J]. Proceedings of the CSEE, 2010, 30(13): 61-68.
    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 Lin, WANG Xiuli, WANG Xifan. Electric betweenness and its application in vulnerable line identification in power system[J]. Proceedings of the CSEE, 2010, 30(1): 33-39.
    程临燕,张保会,李光辉,等. 采用有向电气介数的脆弱线路选取[J]. 西安交通大学学报,2011,45(6): 91-96.

    CHENG Linyan, ZHANG Baohui, LI Guanghui, et al. Search for vulnerable line based on directed electric betweenness[J]. Journal of Xi'an Jiaotong University, 2011, 45(6): 91-96.
    刘文颖,梁才,徐鹏,等. 基于潮流介数的电力系统关键线路辨识[J]. 中国电机工程学报,2013,33(31): 90-98,11.

    LIU Wenying, LIANG Cai, XU Peng, et al. Identification of critical line in power systems based on flow betweenness[J]. Proceedings of the CSEE, 2013, 33(31): 90-98,11.
    王涛,高成彬,顾雪平,等. 基于功率介数的电网关键环节辨识[J]. 电网技术,2014,38(7): 1907-1913.

    WANG Tao, GAO Chengbin, GU Xueping, et al. Power betweenness based identification of power grid critical links[J]. Power System Technology, 2014, 38(7): 1907-1913.
    贾燕冰,何海丹. 基于绝对潮流介数和分布因子相关度的关键线路辨识方法[J]. 高电压技术,2017,43(1): 307-313.

    JIA Yanbing, HE Haidan. Identification of critical line in power systems based on absolute power flow betweenness and distribution factor correlation[J]. High Voltage Engineering, 2017, 43(1): 307-313.
    BAI Hao, MIAO Shihong. Hybrid flow betweenness approach for identification of vulnerable line in power system[J]. IET Generation,Transmission & Distribution, 2015, 9(12): 1324-1331.
    ZHU Darui, WANG Rui, DUAN Jiandong, et al. Comprehensive weight method based on game theory for identify critical transmission lines in power system[J]. International Journal of Electrical Power & Energy Systems, 2021, 124: 106362.1-106362.8.
    FORD L R, FULKERSON D R. Maximal flow through a network[J]. Canadian Journal of Mathematics, 1956, 8: 399-404. doi: 10.4153/CJM-1956-045-5
    DWIVEDI A, YU Xinghuo. A maximum-flow-based complex network approach for power system vulnerability analysis[J]. IEEE Transactions on Industrial Informatics, 2013, 9(1): 81-88. doi: 10.1109/TII.2011.2173944
    DWIVEDI A, YU Xinghuo, SOKOLOWSKI P. Analyzing power network vulnerability with maximum flow based centrality approach[C]//2010 8th IEEE International Conference on Industrial Informatics. Osaka: IEEE, 2010: 336-341.
    FANG Jiakun, SU Chi, CHEN Zhe, et al. Power system structural vulnerability assessment based on an improved maximum flow approach[J]. IEEE Transactions on Smart Grid, 2018, 9(2): 777-785. doi: 10.1109/TSG.2016.2565619
    FAN Wenli, HUANG Shaowei, MEI Shengwei. Invulnerability of power grids based on maximum flow theory[J]. Physica A:Statistical Mechanics and Its Applications, 2016, 462: 977-985. doi: 10.1016/j.physa.2016.06.109
    FAN Wenli, HU Ping, LIU Zhigang. Multi-attribute node importance evaluation method based on Gini-coefficient in complex power grids[J]. IET Generation,Transmission & Distribution, 2016, 10(9): 2027-2034.
    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 Wenyun, LI Yinhong. 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.
    许立雄,刘俊勇,丁理杰,等. 基于网络流介数的关键线路识别[J]. 电力系统保护与控制,2013,41(5): 91-96. doi: 10.7667/j.issn.1674-3415.2013.05.016

    XU Lixiong, LIU Junyong, DING Lijie, et al. Identification of critical lines in power grid based on network flow betweenness[J]. Power System Protection and Control, 2013, 41(5): 91-96. doi: 10.7667/j.issn.1674-3415.2013.05.016
    EPPSTEIN M J, HINES P D H. A “random chemistry” algorithm for identifying collections of multiple contingencies that initiate cascading failure[J]. IEEE Transactions on Power Systems, 2012, 27(3): 1698-1705. doi: 10.1109/TPWRS.2012.2183624
    ZHU Yihai, YAN Jun, SUN Yan, et al. Revealing cascading failure vulnerability in power grids using risk-graph[J]. IEEE Transactions on Parallel and Distributed Systems, 2014, 25(12): 3274-3284. doi: 10.1109/TPDS.2013.2295814
    LIU Yigu, GAO Shibin, SHI Jian, et al. Sequential-mining-based vulnerable branches identification for the transmission network under continuous load redistribution attacks[J]. IEEE Transactions on Smart Grid, 2020, 11(6): 5151-5160. doi: 10.1109/TSG.2020.3003340
    YANG Shenhao, CHEN Weirong, ZHANG Xuexia, et al. A graph-based model for transmission network vulnerability analysis[J]. IEEE Systems Journal, 2020, 14(1): 1447-1456. doi: 10.1109/JSYST.2019.2919958
    WEI Xiaoguang, GAO Shibin, HUANG Tao, et al. Complex network-based cascading faults graph for the analysis of transmission network vulnerability[J]. IEEE Transactions on Industrial Informatics, 2019, 15(3): 1265-1276. doi: 10.1109/TII.2018.2840429
    WEI Xiaoguang, ZHAO Junbo, HUANG Tao, et al. A novel cascading faults graph based transmission network vulnerability assessment method[J]. IEEE Transactions on Power Systems, 2018, 33(3): 2995-3000. doi: 10.1109/TPWRS.2017.2759782
    WEI Xiaoguang, GAO Shibin, HUANG Tao, et al. Electrical network operational vulnerability evaluation based on small-world and scale-free properties[J]. IEEE Access, 2019, 7: 181072-181082. doi: 10.1109/ACCESS.2019.2906286
    韦晓广,高仕斌,李多,等. 基于连锁故障网络图和不同攻击方式的输电线路脆弱性分析[J]. 中国电机工程学报,2018,38(2): 465-474,677.

    WEI Xiaoguang, GAO Shibin, LI Duo, et al. Cascading fault graph for the analysis of transmission network vulnerability under different attacks[J]. Proceedings of the CSEE, 2018, 38(2): 465-474,677.
    WEI Xiaoguang, GAO Shibin, HUANG Tao. Analysis of electrical network vulnerability using segmented cascading faults graph[J]. Computers & Electrical Engineering, 2020, 81: 106519.1-106519.13.
    ZANG Tianlei, LEI Jieyu, WEI Xiaoguang, et al. Adjacent graph based vulnerability assessment for electrical networks considering fault adjacent relationships among branches[J]. IEEE Access, 2019, 7: 88927-88936. doi: 10.1109/ACCESS.2019.2926148
    ZANG Tianlei, GAO Shibin, HUANG Tao, et al. Complex network-based transmission network vulnerability assessment using adjacent graphs[J]. IEEE Systems Journal, 2020, 14(1): 572-581. doi: 10.1109/JSYST.2019.2934317
    MA Zhiyuan, SHEN Chen, LIU Fei, et al. Fast screening of vulnerable transmission lines in power grids:a PageRank-based approach[J]. IEEE Transactions on Smart Grid, 2019, 10(2): 1982-1991. doi: 10.1109/TSG.2017.2785267
    马志远,刘锋,沈沉,等. 基于PageRank改进算法的电网脆弱线路快速辨识(一):理论基础[J]. 中国电机工程学报,2016,36(23): 6363-6370,6601.

    MA Zhiyuan, LIU Feng, SHEN Chen, et al. Rapid identification of vulnerable lines in power grid using modified PageRank algorithm—part Ⅰ: theoretical foundation[J]. Proceedings of the CSEE, 2016, 36(23): 6363-6370,6601.
    马志远,刘锋,沈沉,等. 基于PageRank改进算法的电网脆弱线路快速辨识(二):影响因素分析[J]. 中国电机工程学报,2017,37(1): 36-45.

    MA Zhiyuan, LIU Feng, SHEN Chen, et al. Rapid identification of vulnerable lines in power grid using modified PageRank algorithm—part Ⅱ: factors affecting identification results[J]. Proceedings of the CSEE, 2017, 37(1): 36-45.
    WU Xindong, KUMAR V, ROSS QUINLAN J, et al. Top 10 algorithms in data mining[J]. Knowledge and Information Systems, 2008, 14(1): 1-37. doi: 10.1007/s10115-007-0114-2
    WEI Xiaoguang, GAO Shibin, HUANG Tao, et al. Identification of two vulnerability features:a new framework for electrical networks based on the load redistribution mechanism of complex networks[J]. Complexity, 2019, 2019: 1-14.
    KITSAK M, GALLOS L K, HAVLIN S, et al. Identification of influential spreaders in complex networks[J]. Nature Physics, 2010, 6(11): 888-893. doi: 10.1038/nphys1746
    MALLIAROS F D, ROSSI M E G, VAZIRGIANNIS M. Locating influential nodes in complex networks[J]. Scientific Reports, 2016, 6: 19307.1-19307.10. doi: 10.1038/srep19307
    FAN Wenli, ZHANG Xuemin, MEI Shengwei, et al. Vulnerable transmission line identification considering depth of K-shell decomposition in complex grids[J]. IET Generation,Transmission & Distribution, 2018, 12(5): 1137-1144.
    FAN Wenli, ZHANG Xuemin, MEI Shengwei, et al. Vulnerable transmission line identification using ISH theory in power grids[J]. IET Generation,Transmission & Distribution, 2018, 12(4): 1014-1020.
    ZHANG Qiao, FAN Wenli, QIU Ziyang, et al. A new identification approach of power system vulnerable lines based on weighed H-index[J]. IEEE Access, 2019, 7: 121421-121431. doi: 10.1109/ACCESS.2019.2937903
    HIRSCH J E. An index to quantify an individual's scientific research output[J]. Proceedings of the National Academy of Sciences of the United States of America, 2005, 102(46): 16569-16572. doi: 10.1073/pnas.0507655102
    HIRSCH J E. An index to quantify an individual's scientific research output that takes into account the effect of multiple coauthorship[J]. Scientometrics, 2010, 85(3): 741-754. doi: 10.1007/s11192-010-0193-9
    孟祥侠,刘明光,张全柱,等. 高铁牵引负荷对电力系统暂态能量分布的影响[J]. 电网技术,2016,40(11): 3539-3545.

    MENG Xiangxia, LIU Mingguang, ZHANG Quanzhu, et al. Study on influence of HSRW traction load on transient energy distribution of power system[J]. Power System Technology, 2016, 40(11): 3539-3545.
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  • 收稿日期:  2020-10-22
  • 修回日期:  2020-12-28
  • 网络出版日期:  2021-03-03
  • 刊出日期:  2021-08-15

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