Consensus ADMM and Proximal ADMM for economic dispatch and AC OPF with SOCP relaxation

Abstract

In this paper, we reviewed several forms of alternating direction method of multipliers (ADMM) for distributed power system computing. The major focus is on ADMM based distributed parallel optimization algorithm which is feasible to be implemented in power network. Firstly, we introduced the general form of ADMM, and extend the 2-block ADMM to N-block multi-block ADMM. Next, we focus on two distributed parallel ADMM based optimization algorithms: Consensus ADMM (C-ADMM) and Proximal Jacobian ADMM (PJ-ADMM). A three-area DC optimal power flow (OPF) problem and a two-area AC OPF problem are tested for ADMM implementation. Information exchange structure and the numerical convergence results of the ADMM algorithms are given.