摘要
近年来极端灾害频发,环结构能为故障后潮流重分配提供后备路径,极大程度地降低连锁故障传播带来的负荷损失。因此,该文基于有向加权电力网络的广义节点,提出一种能够阻断高危连锁故障的关键环辨识方法,在面对不同N-k故障场景时,均能够显著降低系统发生大停电的风险。首先,定义基于线路的静态储备系数的有向电力加权网络,证明电力网络的结构可控性,通过Kuhn-Munkres算法求解电力系统的最小驱动节点集合,将电力网络分解为多个完全可控子图;其次,将可控子图收缩定义为广义节点,以实现复杂电力网络的降阶,解决大规模电力网络中环结构搜索困难的挑战;最后,基于Laplacian矩阵次小特征向量评估环结构对电力网络连通性的贡献,进而辨识电力网络中的关键环。仿真结果表明,即使面对N-k(k≤3)高危预想事故,通过维持关键环的正常运行,电力系统能维持暂态稳定性。
Encountering with the risk of extreme disasters occurring frequently in recent years,cycle structures offer alternative paths for power flow distribution,effectively mitigating the hazard caused by cascading failures.Therefore,based on generalized nodes of the directed weighted power grids,this paper proposes a critical cycle identification method that can resist to high-risk cascading failures,significantly reducing the risk of major blackouts in various N−k scenarios.Firstly,a directed weighted power grid based on the lines'steady state stability margin is defined,demonstrating the structural controllability of the power network.The minimum set of driver nodes of the power system is determined by utilizing the Kuhn-Munkres algorithm,thereby decomposing the power grids into several fully controllable subgraphs.Secondly,the controllable subgraphs are contracted into generalized-nodes to reduce the order of the complex power grid,addressing the challenge of searching for cycle structures in large-scale power grids.Finally,the contribution of cycle structures to the increase in network connectivity is assessed based on the second smallest eigenvector of the Laplacian matrix,and then the critical cycle is identified.Simulation results indicate that even under the high-risk cases of N−k(k≤3)hypothetical scenarios,maintaining the stable operation of the critical cycle could maintain the transient stability of the power system.
作者
蔡晔
谭林峰
王炜宇
曹一家
谭玉东
CAI Ye;TAN Linfeng;WANG Weiyu;CAO Yijia;TAN Yudong(State Key Laboratory of Power Grid Disaster Prevention&Reduction(Changsha University of Science and Technology),Changsha 410114,Hunan Province,China;State Grid Economic and Technological Research Institute of Hunan,Changsha 410114,Hunan Province,China)
出处
《中国电机工程学报》
北大核心
2025年第23期9202-9212,I0011,共12页
PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING
基金
国家自然科学基金项目(52277076,52107070)
长沙市杰出创新人才项目(kq2306011)
湖南省自然科学基金项目(面上项目)(S2024JJMSXM1107)。
关键词
关键环辨识
连锁故障阻断
最小输入定理
网络可控性
critical cycle identification
cascading failure prevention
the minimum input theorem
network controllability
