Graph Based Power Flow Approach for Single Phase Distribution System with Distributed Generators(DGs) Considering All Load Types

In this work, the notion of the Backward-Forward Sweep (BFS) approach in collaboration with graph theory and matrix algebra has been embraced for solving the power flow problem of distributed generations (DGs) integrated radial distribution networks. For this purpose, several matrices (connectivity matrix and bus-branch topology matrix) have been formulated which depicts the configuration or structure of the distribution system. The other supporting matrices which compute the power flow parameters are loads current beyond branch matrix, branch current matrix, voltage drop matrix, source bus to other bus drop matrix, and voltage matrix. Power flow computation of distribution networks needs special treatments to handle multiple distributed generations. The mathematical model of DG considered as PV bus is assimilated into the proposed power flow methodology to emulate the injection by the DGs in the distribution systems. For handling the PV bus model of DGs, a sensitivity matrix has been formulated which helps to compute the requisite reactive current injections to compensate the voltage variance at PV bus. The net injection is reflected in load flow using PV current beyond branch matrix and net branch current matrix. Several test analyses have been carried out to validate the viability and efficiency of the proposed power flow algorithm.