Critical Line Identification of Power System Based on Hypergraph Model

This study aims to improve the accuracy of critical line identification in power system. Firstly, through the power flow tracking analysis, the transmission path is used as a hyperedge and the line is used as a node to construct a hypergraph model. On this basis, K-Shell analysis is introduced to quantify the importance of line structure. However, relying solely on structural features may lead to inaccurate identification. Therefore, the power flow weight is further introduced, and the minimum power flow transmission value of each transmission path is used as the basis for quantifying the path weight to quantify the weight of each transmission path. Finally, the hybrid K value of the integrated line is calculated by the entropy weight method to identify the critical line more accurately. In addition, this study also compares the load loss rate with the other three methods to verify the effectiveness and superiority of the proposed method. The results show that the proposed method can significantly reduce the load loss rate, with a minimum of 0.42, which is significantly better than other methods. This method provides a new perspective and tool for the identification of critical lines in power systems. It has important theoretical and practical application value and can provide strong support for the stable operation and effective planning of power systems.