A Fluid Model of an Electric Vehicle Charging Network

Angelos Aveklouris*, Maria Vlasiou, Bert Zwart

*Corresponding author for this work

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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 electrici-ty. 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.

Original languageEnglish
Pages (from-to)151-180
Number of pages30
JournalStochastic systems
Issue number2
Early online date26 Jan 2022
Publication statusPublished - Jun 2022


  • AC power flow model
  • electric vehicle charging
  • fluid approximation
  • linearized Distflow
  • measure-valued processes


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