Stochastic energy management for microgrids with constraints under uncertainty

This paper studies two energy management problems for microgrids with constraints involving uncertainty. The first energy management problem has constraints on the utilization of certain components. It can be used to ensure the penetration level of renewable generation or plug-in electric vehicles. The second energy management problem aims at refraining the output power of the microgrid. It is required by applications such as peak power shaving and instrument protection. With the integration of components having random output power such as photovoltaic panels and plug-in electric vehicles in the microgrid, the two problems have uncertainty in the constraints. A unified chance constrained programming formulation of the two problems is proposed in the paper. This formulation provides probabilistic guarantees on the satisfaction of the constraints and transforms the two problems into convex programs that can be solved efficiently. A practical case study verifies the effectiveness of the proposed approach.