A New Graph Theoretic Power Flow Framework for Microgrid

The incorporation of distributed generations and loads as separate cluster is known as microgrid which functions independently or in parallel with conventional electric grid. The configuration of electrical distribution system is changing from conventional radial topology to meshed topology due to integration of distributed energy resources into electric power system. The presence of several microgrids appends challenges in analysis of system for other supplementary services which largely depend on load flow. This paper aims to transform electrical network into an equivalent transportation network for electrical microgrid network. Based on concepts of graph theory and diakoptics, a methodology is developed for transforming a meshed microgrid network into a transportation network which will exhibit all the necessary information about the network. The applicability of proposed method is demonstrated by considering microgrids connected in meshed configuration.