The Optimal Deployment of the Entry and Exit Gates of Electric Vehicles Wireless Charging Transmitters on Highways

Abstract

Dynamic wireless charging (DWC) facilitates the travel of electric vehicles (EVs) on highways because it can charge EVs without contact and it does not have a recharging time as it can charge vehicles in motion by a set of power transmitters on the road. This work considers a highway road with DWC and a fleet of electric vehicles with heterogeneous batteries to begin a trip from the origin of the highway noted by O to the destination noted by S. As the usage of DWC is not free, this study seeks to install entry gates to the DWC if the vehicles need to charge their batteries and exit gates to the main road if the vehicles wish to stop the recharge. For this purpose, the first objective is to minimize the usage cost paid by each vehicle type to use the DWC during the trip on the highway. The second objective is to find the lower installation cost of the gates on the road. This work proposes to model the problem as a mathematical problem and validate it with the CPLEX optimizer using limited instances and, finally, solves the problem using the non-dominated sorting genetic algorithm (NSGA-II).