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 αβ0 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 αβ0 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 αβ0 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.