A Distributed Charging and Discharging Coordination for Large-Population Plug-In Electric Vehicles

Motivated by the economic and environmental benefits of plug-in electric vehicles (PEVs), the PEVs have been regarded as adjustable bilateral auxiliaries for the power grid. They can not only charge from the grid but also discharge back to the grid. This work studies the problems of PEV coordinations, considering the battery degradation cost. We analyze the characteristics of distributed strategy curve and propose an updated algorithm to implement the optimal distributed coordination in the case of the infeasibility of fully centralized formulation. As key contribution of this paper, we show that under certain mild conditions, the system converges to an optimal charging and discharging strategy. Simulation examples illustrate the results developed in the paper.