Graph Theory and Critical Load-Based Distribution System Restoration using Optimal Microgrids Formation

Customer survivability and well-being can be enhanced, after a natural disaster, by efficiently restoring critical loads in a distribution system. Microgrids with distributed generation can improve resilience in case of power outages caused by natural events. This paper presents a graph theory-based distribution system restoration strategy using optimal microgrids formation. The restoration focuses on critical loads powered by distributed generation sources installed in radial distribution system. Specifically, a Minimum Spanning Tree (MST) search algorithm has been developed that maximizes the amount of critical load restored based on priority information, while satisfying the operational constraints of radial distribution systems. The proposed method has been tested on the modified IEEE 37 and 123-bus test systems. The simulation results validate the effectiveness of the proposed algorithm.