Complex Network-Based Transmission Network Vulnerability Assessment Using Adjacent Graphs

This article proposes an adjacent graph based on the spontaneous faults of an electrical network to assess the electrical network vulnerabilities from the perspective of the overload mechanism. To reveal the propagation features and the adjacent relationships among branches from different angles, fault probability, load shedding, and topological structure-based indices are proposed to define the weights of the directed edges in the adjacent graph. On this basis, according to the physical features of the graph mapped to the electrical network, the improved betweenness based on the complex network theory is proposed to identify the critical branches of the electrical network. Numerical results on an IEEE 118-bus system demonstrate the effectiveness of the proposed method.