Residential customers use more than one-quarter of the electricity in the world. Optimally
managing home energy consumption is an effective way of easing the operational
challenges facing the electric grid with increasing solar photovoltaics (PV). This paper
studies the impact of the future proliferation of home energy management systems (HEMS)
in the presence of PV on large-scale distribution systems. First, we present a stochastic
HEMS model that minimizes residential customers' thermal discomfort and energy costs …