Stochastic Programming for Residential Energy Management with Electric Vehicle under Photovoltaic Power Generation Uncertainty

Battery has been used as a tool to smooth the latency of electricity supply and demand since its created. Electric vehicle (EV), which becomes more and more popular in recent years, can be seen as a consumer with its own electricity storage/battery. This article explores the potential of connecting EV battery to standard home battery and their optimal usage for energy storage in a small household system with photovoltaic (PV) power supplies. A two-stage stochastic programming model is developed with the day-ahead PV generation forecasting via spatial exponential smoothing, to optimise the storage level in home and EV batteries throughout the day so as to match self-supply and consumption to the maximum extend and save cost. Real data are used in the tests according to the UK household electricity survey and EV database, so as to inform the optimal battery size for household usage under different size of the PV supplies.