基于博弈论-改进TOPSIS的配电网节点脆弱性评估

doi:10.16088/j.issn.1001-6600.2022052403

摘要/Abstract

摘要： 针对现有配电网节点脆弱性评估方法存在指标单一、指标权重片面等问题,结合复杂网络理论,从配电网结构以及系统运行状态两方面出发,构建配电网节点脆弱性评估体系。使用层次分析法AHP求得指标的主观权重,使用熵值法求得客观权重,利用博弈论将主客观权重有机结合,避免单一赋权法的缺陷。然后提出多属性决策思想,利用灰色关联度改进TOPSIS算法的贴近度缺陷,以一种新的贴近度形式来表示节点的脆弱度。基于IEEE-33节点系统的算例结果表明:系统中脆弱度排名前10的节点为2、1、3、6、4、5、26、7、14、16,脆弱度大小依次为0.817、0.677、0.621、0.563、0.515、0.492、0.433、0.411、0.408、0.393。算例结果与实际情况相符合,验证了本文方法的合理性与可行性。

关键词: 配电网, 脆弱性, 博弈论, 灰色关联度, TOPSIS

Abstract: Aiming at the problems of single index and one-sided index weight in the existing distribution network node vulnerability assessment methods combining the complex network theory and starting from the distribution network structure and the system operation state, the vulnerability assessment system of distribution network nodes is constructed. The subjective weight of the index is obtained by using the analytic hierarchy process (AHP), and the objective weight is obtained by using the entropy method. Then the idea of multi-attribute decision-making is proposed, and the grey relational degree is used to improve the closeness defect of TOPSIS algorithm, and a new form of closeness is used to express the vulnerability of nodes. The calculation results based on the IEEE-33 node system show that the top 10 nodes in the system are 2, 1, 3, 6, 4, 5, 26, 7, 14, and 16 in terms of vulnerability, and their vulnerability values are 0.817 and 0.677, 0.621, 0.563, 0.515, 0.492, 0.433, 0.411, 0.408, 0.393, respectively. The results of the example are consistent with the actual situation, which verifies the rationality and feasibility of the proposed method.

Key words: distribution network, vulnerability, game theory, gray relevance, TOPSIS

中图分类号: TM73

肖志恒, 刘会家. 基于博弈论-改进TOPSIS的配电网节点脆弱性评估[J]. 广西师范大学学报（自然科学版）, 2023, 41(3): 20-30.

XIAO Zhiheng, LIU Huijia. Improved TOPSIS for Node Vulnerability Assessment of Distribution Network Based on Game Theory[J]. Journal of Guangxi Normal University(Natural Science Edition), 2023, 41(3): 20-30.

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