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As the electric vehicle (EV) adoption rates increase, there is a pressing need for designing charging stations that account for heterogeneity (e.g., charging rates and duration) in EV demand. Battery temperature is a major factor determining the maximum charging rates as the EV charging power is limited to ensure the safety of batteries. As a consequence, each vehicle receives a different charging rate, and the station can be modeled as a multiclass queuing facility. As the coverage of such networks grows, the power network elements become more congested, and controlling the charging demand is needed to avoid overloading. This article models a network of fast chargers as a multidimensional loss system and proposes an EV load control framework that leverages pricing dynamics to keep the aggregate demand below station capacity with minimal loss of load (outage) events. The global problem is formulated to maximize the social welfare of all users, and optimal arrival rates are calculated in a distributed manner. The mathematical analysis further shows how to induce a socially optimal charging behavior through the computation of congestion prices. The results show that class-specific prices provide fairness to EVs with colder batteries, as they receive slower service.
Bayram et al. (Thu,) studied this question.