We develop and analyze a measure-valued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model arises as an accumulation point of an appropriately scaled sequence of stochastic network models. Our analysis incorporates load-flow models that describe the laws of electricity. Specifically, we consider the alternating current (AC) and the linearized Distflow power flow models and show a continuity property of the associated power allocation functions.

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Stochastic Systems
Rare events: Asymptotics, Algorithms, Applications
Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands

Aveklouris, A., Vlasiou, M., & Zwart, B. (2022). A fluid model of an electric vehicle charging network. Stochastic Systems, 12(2), 151–180. doi:10.1287/stsy.2021.0084