Generalized Wardrop Equilibrium for Charging Station Selection and Route Choice of Electric Vehicles in Joint Power Distribution and Transportation Networks

This paper presents the equilibrium analysis of a game composed heterogeneous electric vehicles (EVs) and power distribution system operator (DSO) as players, charging station operators (CSOs) transportation network (TNO) coordinators. Each EV tries to pick its destination route get there at same time. However, traffic electrical load congestion on roads stations lead interdependencies between optimal decisions EVs. CSOs TNO need apply some tolling control such congestion. On other hand, pricing depends real-time distributional locational marginal pricing, which is determined by DSO after solving flow over network. also takes into account local coupling/infrastructure constraints EVs, networks. problem modeled generalized aggregative game, then decentralized learning method proposed obtain an point known variational Wardrop equilibrium. The existence convergence algorithm it are proven. We undertake numerical studies Savannah city model IEEE 33-bus investigate impact various characteristics demand prices.