A Direct Matrix Inversion-Less Analysis for Distribution System Power Flow Considering Distributed Generation

This paper presents a new direct matrix inversion-less analysis for radial distribution systems (RDSs). The method can successfully deal with weakly meshed distribution systems. (WMDSs). Being easy to implement, direct methods (DMs) provide an excellent performance. Matrix inversion is the mean reason of divergence and low-efficiency in power flow algorithms. In this paper, the performance of the proposed DM is upgraded since it is no longer necessary to use the matrix inversion and its related computations. On the other hand, DMs have not been explicitly developed for different models of loads and, moreover, analyzing meshes in previous works decreases the efficiency of such methods. This paper deals with these issues and takes a few steps forward. The modeling of distributed generations in distribution systems is also studied which is an interesting topic nowadays. Simulations results for balanced, unbalanced, meshed and radial systems with distributed generations verify the performance of the proposed method.