2025/09/05 by Lijun Bo, Bo, Lijun, Feng‐Cheng Liu +3
Earth and Planetary Sciences · Engineering · #Aquatic and Environmental Studies #FOS: Mathematics #Optimization and Control (math.OC) #Smart Grid Security and Resilience
paper · pdf · doi:10.48550/arxiv.2509.04963
openalex publication_date 2025/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We study the optimal charging strategies for large-scale electric vehicles in smart grids within a finite-horizon mean field game framework. We first establish the existence and uniqueness of the solution to the consistency condition equation, which characterizes the optimal charging behavior in the mean field limit. Building on this result, we construct approximate optimal charging strategies for a finite population of vehicles in both non-cooperative and cooperative settings. Finally, we provide numerical analyses that illustrate and compare the approximate strategies in the non-cooperative and cooperative games.