Fully Distributed AC Optimal Power Flow

Abstract

Optimal generation dispatch is one of the challenging problems in the field of both market and system security due to its non-convexity and uncertainty. Many solutions have been proposed in recent years to solve it by convexification and linearization. Some of these methods fail to be practical, however, due to their specific assumptions. In this paper, a fully distributed algorithm is proposed for a complete optimal power flow without any convexification or linearization. A mathematical proof for its global optimality is provided for a simple version of the optimization problem; then it is extended to consider all constraints. Finally, two test power systems, a synthetic 37-bus case study and an IEEE 118-bus test feeder considering all equality and inequality constraints is simulated to evaluate the proposed algorithm's performance.