Fully-Distributed Accelerated ADMM for DC Optimal Power Flow Problems with Demand Response

With increasing penetrations of distributed energy resources into the power system, maintaining system reliability and economy has been an important issue. In order to maintain the supply-demand balance, Demand response (DR) requests customers to reduce their power demands and offer financial incentives. An accelerated alternating direction method of multipliers (ADMM) has been proposed as an effective method for solving DC optimal power flow (DC-OPF) problems with DR. However, the accelerated ADMM partially needs centralized calculation to accelerate a distributed ADMM algorithm, and therefore, loses some advantages of distributed algorithms such as high reliability against failure. To cope with this difficulty, this paper proposes a fully-distributed accelerated ADMM by combining the so-called push-sum algorithm, and illustrates its effectiveness through simulation results of a DC-OPF problem.