An improved graph theoretic approach for quantifying the severity of branch interruptions in power system

Cascading failure in large power system poses challenges to traditional N-k transmission security strategies. Exhaustively analyzing the N-k transmission security strategies is not practical; therefore, it is crucial to assess the severity of failure on each edge of the power system. We proposes a graph theoretic method for quantitatively analyzing the severity of branch interruptions in power system based on the consideration of actual grid constraints. This method is integrated with actual current data to enhance its applicability to real power systems. Implementing the IEEE-39 bus system and the IEEE-118 bus system, the algorithm effectively identifies edges that can cause high severity cascading failure within the power system. Propose the concept of "overflow weight of the severity edge” to quantify the severity of the severity edge.