Charging coordination of Plug-In electric vehicles in distribution networks with capacity constrained feeder lines

We study the charging control of plug-in electric vehicles in distribution networks with capacity constrained feeder lines. It is usually challenging to design an effective decentralized method to implement the optimal solution for the formulated constrained optimization problems due to the coupling relationship of charging behaviors on the constrained distribution network system. Alternatively, in this brief, in order to avoid possible overloading on the feeder lines, we propose a gradient projection-based decentralized method such that the step size is properly adjusted. We show that by applying the proposed method, the system converges and the implemented solution satisfies the capacity constraints of feeder lines. Simulation results show that the proposed method can effectively avoid possible overloads on the feeder lines in distribution networks.