A power flow solution for meshed network by incidence matrix

This paper describes a new power flow solution based on graph theory for solving distribution systems. The method proposed to deal with both radial and meshed networks is a kind of forward/backward sweep method, which is used to solve radial networks only. We fully depict the topological characteristic of a radial or meshed structure by a node-branch incidence matrix. Without breaking meshes or loop-analysis like previous studies, our method can directly solve meshed structure by finding the basis of the null space of the incidence matrix. In addition, we also give a convergence analysis by using of the Banach fixed-point theorem.