Distributed Convex Optimal Power Flow Model Based on Alternating Direction Method of Multipliers For Power Distribution System

The objective of OPF is to find an operating point for a network minimizing certain cost functions such as line losses or generation costs. In recent years, a significant rise in distributed generation (DG) penetration in the distribution network made the OPF problem a greater computational burden. As a result, the centralized OPF formulation is facing more challenges. In this paper a fully distributed approach has been proposed that utilizes the convergence proper of alternating direction method of multipliers (ADMM) and split the central OPF problem into small problems of regions. All the regional OPF problems are parallelizable and computationally cheaper than the centralized approach. The non-linear, non-convex AC-OPF problem in this approach uses SDP relaxation to convexify. The proposed approach is tested on the modified IEEE 123 bus system to prove it's scalability.