面向抗毁能力提升的供电网架拓扑Steiner最小树优化规划策略研究
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作者单位:

(1.长沙理工大学电气与信息工程学院 ,湖南 长沙 410114;2.长沙理工大学电网防灾减灾全国重点实验室 ,湖南 长沙 410114)

作者简介:

通讯作者:

刘东奇(1986—),男,博士,副教授,主要从事电力信息系统安全与优化控制等研究;E-mail:liudq@hnu.edu.cn

中图分类号:

TM715

基金项目:

国家自然科学基金(52177068);湖南省自然科学基金(2023JJ30028)


Optimal planning strategies for power grid topology Steiner minimum tree to enhance resilience capability
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(1.School of Electrical & Information Engineering , Changsha University of Science & Technology , Changsha 410114, China; 2.State Key Laboratory of Disaster Prevention & Reduction for Power Grid , Changsha University of Science & Technology , Changsha 410114, China)

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    摘要:

    能源安全事关经济社会发展全局,近年来针对电网的蓄意攻击和灾害事件频发,在国际冲突中电力系统成为被攻击的重要目标。为了增强电网抵御蓄意攻击和灾害的能力,保障国家能源基础设施安全运行,提出一种面向抗毁能力提升的供电网网架拓扑 Steiner最小树规划方法。首先,针对网架规划问题设计了电网结构强度指标和运行脆弱性指标,并以网架强度、网络连通性以及网络运行状态等为上层目标,以线路投资费用、节点建设费用和网损费用等指标为下层目标构建了双层规划模型;其次,以复杂网络理论为基础,构建电网网架拓扑映射模型,根据节点的负荷需求以及容量需求划分电网网架的重要区域和重要节点;然后,将电网网架规划问题转化为区域Steiner树问题,在区域内增设节点,重新规划重要区域内的网架结构;最后,将启发式算法和数学规划问题相结合,利用人工鱼群算法进行优化求解。通过采用 39节点的电网网架结构进行仿真验证,计算结果表明,所提方法可以提升 64.60%的电网网架结构强度,降低 71.38%的运行风险。

    Abstract:

    Energy security is related to the overall situation of economic and social development.In recent years,deliberate attacks and disasters against the power grid have occurred frequently,and the power system has become an important target of attacks in international conflicts.In order to enhance the ability of the power grid to resist deliberate attacks and disasters and ensure the safe operation of the national energy infrastructure,a Steiner minimum tree planning method is proposed for the power supply network topology to the improvement of invulnerability.Firstly,the grid structure strength index and operation vulnerability index are designed for the grid planning problem.A dual-layer planning model is constructed with the grid structure strength,network connectivity,and network operation status as the upper targets,and the line investment cost,node construction cost,and network loss cost as the lower targets.Secondly,based on the complex network theory,the topology mapping model of the power grid is built.The important areas and nodes of the power grid are divided according to the load demand and capacity demand of nodes.Then,the problem of power grid planning is transformed into a regional Steiner tree problem,and nodes are added in the region to re-plan the grid structure in important areas.Finally,the heuristic algorithm is combined with the mathematical programming problem.The artificial fish swarm algorithm is used to optimize the solution.The 39-node grid structure is applied for simulation verification.The calculation results show that the proposed method can improve the strength of the grid structure by 64.60% and reduce the operation risk by 71.38 %.

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引用本文

翟运朋,刘东奇,梁皓澜,等.面向抗毁能力提升的供电网架拓扑Steiner最小树优化规划策略研究[J].电力科学与技术学报,2025,40(5):1-13.
ZHAI Yunpeng, LIU Dongqi, LIANG Haolan, et al. Optimal planning strategies for power grid topology Steiner minimum tree to enhance resilience capability[J]. Journal of Electric Power Science and Technology,2025,40(5):1-13.

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  • 收稿日期:2024-11-01
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  • 在线发布日期: 2025-12-18
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