Spatial and Temporal Model for Electric Vehicle Rapid Charging Demand

In this paper, we present a spatial and temporal model of electric vehicle (EV) charging demand for rapid charging stations located in the urban area. For this problem three lines of investigations have been pursued in the literature: the first one is based on an assumption of a fixed charging station and charging time during the off-peak hours for EV charging demand; the second scenario has limited charging stations at typical locations instead of a mathematical model; and the third one is for charging demands in one way system, such as charging stations nearby highway exists. Hence, from the perspective of a distributed urban transportation system, EV charging demand still has unidentified quantity which varies with respect to charging station location and charging time. In this paper we presents mathematical models for EV charging demand at rapid charging stations. The rapid charging station is formulated as a M/M/s queuing service system. A traffic flow based model generates the arrival rate for EVs to arrive the charging station. The computational results demonstrate that the proposed model is able to estimate the dynamic spatio-temporal charging demands in the large-scale urban traffic environment.