Topology-aware analysis of distribution network carrying capacity

With the widespread integration of distributed power sources, analyzing the carrying capacity of distribution networks holds significant importance. This paper firstly approaches from a topological perspective, establishing a carrying capacity adjacency matrix based on improved nodal importance and maximum flow theory. Secondly, it defines the topological structure sensitivity according to the variation degree of the adjacency matrix, thereby analyzing the impact of distribution network topology on carrying capacity. Finally, by simulating the IEEE 33-node test system, it validates that the proposed method not only analyzes the carrying capacity of distribution networks but also ensures the safety of network topology, meeting the current development requirements of distribution networks.