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Vulnerability Assessment Method of Branch Lines in Power Grid Based on Cooperative Game
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Affiliation:

1.Department of Electrical Engineering, Tsinghua University, Beijing 100084, China;2.State Key Laboratory of Control and Simulation of Power System and Generation Equipments, Tsinghua University, Beijing 100084, China;3.State Grid Jiangsu Electric Power Co., Ltd., Nanjing 210024, China

Fund Project:

This work is supported by State Grid Corporation of China (No. SGJS0000DKJS1900265).

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    Abstract:

    The vulnerability assessment of branch lines in power grid is an important step in the subsequent analysis and prevention of cascading outages. Existing vulnerability indices have problems including unclear physical meaning, lacking consideration of the impact of multiple outages on vulnerability and so on. To address the issues, this paper constructs a cooperative game framework of branch lines in power grid. According to the game result, the loss caused by a fault chain is properly distributed to each branch line as their vulnerabilities. The indices can reflect the contribution of the fault on branch lines to the power grid loss caused by the outage accidents, and its physical meaning is clear. To solve the problem of the non-superposition of the loss of mutiple fault chains, the corresponding multi-objective optimal programming is transformed into a two-stage optimization model with collective rationality and individual rationality. The two-stage optimization model uses genetic algorithm and linear programming, respectively. The case study of IEEE 39-bus system verifies the validity of the proposed index.

    表 11 Table 11
    表 12 Table 12
    表 2 故障的叠加作用Table 2 Superposition effect of faults
    表 7 含L14, L33, L35和L3的故障链和脆弱性Table 7 Fault chains and vulnerabilities including L14, L33, L35, L3
    表 1 合作博弈的要素Table 1 Elements of cooperative game
    表 13 Table 13
    表 10 Table 10
    表 6 部分输电线路的脆弱性、间接脆弱性和K核值排名Table 6 Ranking of vulnerability, indirect vulnerability and K-core indices of partial transmission lines
    表 9 Table 9
    表 3 遗传算法的参数Table 3 Parameters of genetic algorithm
    表 8 L33和L3故障后其他线路的脆弱性Table 8 Vulnerabilities of other lines after outage of L33 and L3
    图1 线路脆弱性Fig.1 Vulnerabilities of lines
    图2 个体理性与集体理性的一致性Fig.2 Accordance of individual rationality with collective rationality
    图 IEEE 39节点系统接线图Fig. Topology map of IEEE 39-node system (New England)
    表 4 部分线路的脆弱性及排名Table 4 Vulnerabilities and ranking of partial lines
    表 5 本文方法和其他方法的脆弱性指标对比Table 5 Comparison of vulnerabilities between proposed method and other mehods
    图 遗传算法的收敛性Fig. Convergence of the genetic algorithm
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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

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History
  • Received:June 25,2019
  • Revised:September 06,2019
  • Adopted:
  • Online: March 21,2020
  • Published: