Matrix Backward Forward Sweep for Unbalanced Power Flow in αβ0 frame

A Backward/Forward Sweep (BFS) algorithm for power flow calculations adapted to matrix formulation in the alpha beta 0 reference frame is presented in this paper. The novelty of the work is the definition of a BFS solver with the following characteristics: matrix formulation in alpha beta 0 frame, valid for unbalanced three phase or single phase systems and capable of handling transformers and distributed generators; Slack, PQ or PV nodes. The matrix formulation avoids the difficulties of load-flow methods presented in the literature: lack of generalization for arbitrary network topologies and transformer connections; the alpha beta 0 stationary reference frame makes the algorithm easily applicable to distribution systems; and finally, the BFS algorithm is an efficient, robust and fast solver. The IEEE Node Test Feeders will be used to provide test systems under several configurations. Comparison to a direct algorithm will demonstrate the improvements in robustness, efficiency and computation time. (C) 2017 Elsevier B.V. All rights reserved.