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In this paper we provide non-simultaneous charging and discharging guaranteesfor a linear energy storage system (ESS) model for a model predictive control(MPC) based home energy management system (HEMS) algorithm. The HEMS optimallycontrols the residential load and residentially-owned power sources, such asphotovoltaic (PV) power generation and energy storage, given residentialcustomer preferences such as energy cost sensitivity and ESS lifetime. Undercertain problem formulations with a linear ESS model, simultaneous charging anddischarging can be observed as the optimal solution when there is highpenetration of PV power. We present analysis for a proposed HEMS optimizationformulation that ensures non-simultaneous ESS charging and dischargingoperation for a linear ESS model that captures both charging and dischargingefficiency of the ESS. The energy storage system model behavior guarantees areshown for various electricity pricing schemes such as time of use (TOU) pricingand net metering. Simulation results demonstrating desirable ESS behavior areprovided for each electricity pricing scheme.

Control of Energy Storage in Home Energy Management Systems: Non-Simultaneous Charging and Discharging Guarantees