Abstract: In this paper, vehicle to home (V2H) system is the research object. Firstly, the system structure and main operating modes of V2H are proposed. The mathematic models of batteries, power flow of V2H system and electricity costs are fabricated. Based on time-varying electricity price and time-varying power demand of home, the quadratic programming V2H system optimization control strategies are designed to minimize the total daily electricity cost. In mode C, for example, variations of batteries SOC, charging and discharging current, V2H system power flow, electricity costs were analyzed in a whole day. Finally, comparative analysis of electricity costs based on quadratic programming optimal control in three main V2H modes was obtained. The result shows that quadratic programming optimal control for V2H can effectively reduce electricity costs.