The Optimal Location of the Entry and Exit Gates of the Dynamic Wireless Charging Transmitter of the Electric Vehicles on the Highway

Abstract

The dynamic wireless charging system (DWCS) facilitates the electric vehicle (EV) trip on highways because it can charge EV while in motion. The DWCS comprises recharging segments occupied by an induction cable and inverters supplying the induction cables. We consider a highway road with recharging segments and a fleet of vehicles with heterogeneous batteries. Each vehicle type may enter the segment through the entry gate at the segment’s start to load, and they cannot exit the segment until the segment exit gate. Vehicles have to pay a unit cost for using the charging segment, so the full use of the segments is expensive for vehicles. Our objective in this work is to create new entry and exit gates on each charging segment to minimize the total cost for using the charging segment by vehicles. Due to the heterogeneity of the batteries, the segment’s use differs from one vehicle to another, so the opening of new segment gates for each type is expensive; for this, we seek to minimize the gates number of each recharging segment. We propose to model the problem as a mathematical problem and solve it by CPLEX optimizer for limited instances.