Abstract: The UHV converter station assumes a crucial role in long-distance power transmission, and restoring its electrical functions following an earthquake is paramount. This study focuses on the topological characteristics of the UHV converter station. Firstly, we introduce the concept of a resilience matrix and develop a function to calculate the seismic resilience index based on this matrix. Subsequently, we establish the existence of a minimum value for this function. Finally, we propose a sorting algorithm to determine this minimum value and generate the optimal repair path. To validate the theory and assess the algorithm's feasibility, we apply it to an actual UHV converter station and conduct practical calculations. The results confirm both the theory's accuracy and the algorithm's practicality. Consequently, the algorithm is a reliable basis for fast recovery of post-earthquake UHV converter stations.