A Graph-Theory-Based Clustering Method for Improving Resiliency of Distribution Systems

Proper planning and optimal resource allocation of distribution systems during an electrical fault or an extreme-event can enhance their resiliency and ensure their stable operation with maximum customer survivability. This paper presents a graph-theory-based approach for subdividing Active Distribution Networks (ADNs) into different clusters considered as Micro-Grids (MGs), with a focus on improving their resiliency. A case study on a modified IEEE 34-bus distribution system, including wind and solar photovoltaic (PV) distributed generation (DG), shows that with the proposed graph-theory based clustering and MG formation algorithm, the system's resiliency is improved, and when necessary, using demand response, the system operational constraints are maintained at the desired level.