Stackelberg Differential Game Based Charging Control of Electric Vehicles in Smart Grid
In this paper, we investigate the charging control problems of the electrical vehicles in smart grid, where electricity transactions exist between the aggregation and the electrical vehicles. We use the Stackelberg differential game to formulate the charging/discharging interactions between the aggregation and the electrical vehicles, and introduce the differential equations to reveal the dynamic behavior of the energy levels of the aggregation and the electrical vehicles. The aggregation acts as the leader, and controls the charging electricity price for the transactions to maximize the payoff. The electrical vehicles act as the followers, and control their charging/discharging power to minimize the energy cost. The open loop equilibrium solutions to the Stackelberg differential game can be obtained as the optimal solutions for the aggregations and the electrical vehicles. Numerical simulations and results show the effectiveness and advantages of the proposed algorithms.
This work was supported by the National Science Foundation Project of China (No.61501026).
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