Convex Hull Formulations for Linear Modeling of Energy Storage Systems

In this letter, two formulations of the linear convex hull of an energy storage system (ESS) are presented. The convex hulls are constructed from the standard parameters of an ESS, namely the charging and discharging power rate capacities, charging and discharging efficiencies, and energy capacity limits. These formulations provide the tightest linear approximation of an ESS model that takes into account the complementarity of charging and discharging modes.