Energy management of isolated microgrids using mixed-integer second-order cone programming

This paper presents an optimal energy management system for Microgrids (MGs) operating in isolated mode, using a mixed-integer second order cone programming (MISOCP) model. Dispatchable distributed generation (DG) units and energy storage systems (ESS) are considered in the model along with non-dispatchable sources, such as solar photovoltaics (PV) and wind turbines (WTs) and demand side management (DSM). The objective function minimizes the unserved energy during a certain period of time, considering consumers' priorities and guaranteeing the system's operational limits, including active and reactive power balance, voltage limits, line current ratings, fuel limitations, among others. The proposed model was tested using solver CPLEX under AMPL for a 34-bus distribution test system under two different outage periods