Multi-period OPF with energy storages and renewable sources: A parallel moment approach

Multi-period optimal power flow (OPF) is a basic tool to achieve optimal operation of a power system with energy storages devices and renewable sources. A novel convex relaxation based decomposeition algorithm is proposed in this paper to solve the full AC multi-period OPF with energy storages and renewable sources. Based on alternating direction method of multipliers (ADMM), the original time-correlated non-convex optimization problem is decomposed into two subproblems. The first subproblem is non-convex and separable among different time slots. Moment relaxation can be constructed and solved for each time slot in parallel. The second subproblem is a convex quadratic program (QP) and separable among different buses, which can be solved in parallel by standard interior point (IPM) solver. Case study on a benchmark system demonstrates the effectiveness of the proposed algorithm.