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Electric Vehicles (EV) impact urban networks both when driving (e.g., noiseand pollution reduction) and charging. For the electrical grid, the flexibilityof EV charging makes it a significant actor in "Demand Response" mechanisms.Therefore, there is a need to design incentive mechanisms to foster customerengagement. A congestion game approach is adopted to evaluate the performanceof such electrical transportation system with multiple classes of vehicles: EVand Gasoline Vehicles. Both temporal and energy operating costs are considered.The latter is nonseparable as it depends on the global charging need of all EV,which is scheduled in time by a centralized aggregator in function ofnonflexible consumption at charging location. Thus, driving and chargingdecisions are coupled. An adaptation of Beckmann's method proves the existenceof a Wardrop Equilibrium (WE) in the considered nonseparable congestion game;this WE is unique when the charging unit price is an increasing function of theglobal charging need. A condition on the nonflexible load is given to guaranteethe monotonicity of this function. This condition is tested on real consumptiondata in France and in Texas, USA. Optimal tolls are used to control thiselectrical transportation system and then computed in order to minimize anenvironmental cost on a simple network topology.

Coupled Charging-and-Driving Incentives Design for Electric Vehicles in Urban Networks