A fluid model of an electric vehicle charging network

Angelos Aveklouris, Maria Vlasiou, Bert Zwart

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Abstract

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. The invariant point of the fluid model encodes the electrical characteristics of the network and the stochastic behavior of its users, and it is characterized, when it exists, by the solution of a so-called Alternating Current Optimal Power Flow (ACOPF) problem.
Original languageEnglish
Article number2004.05637
Number of pages33
JournalarXiv.org,e-Print Archive, Mathematics
Volume2020
Publication statusPublished - 12 Apr 2020

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