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. 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.

Highlights

  • To deal with the effects of climate change, many countries are in the process of implementing new policy measures to stimulate the use of electricity generated by renewable sources such as solar and wind

  • 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

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Summary

A Fluid Model of an Electric Vehicle Charging Network

To cite this article: Angelos Aveklouris, Maria Vlasiou, Bert Zwart (2022) A Fluid Model of an Electric Vehicle Charging Network. Published online in Articles in Advance 26 Jan 2022 . Full terms and conditions of use: https://pubsonline.informs.org/Publications/Librarians-Portal/PubsOnLine-Terms-andConditions. The Publisher does not warrant or guarantee the article’s accuracy, completeness, merchantability, fitness for a particular purpose, or non-infringement. With 12,500 members from nearly 90 countries, INFORMS is the largest international association of operations research (O.R.) and analytics professionals and students. INFORMS provides unique networking and learning opportunities for individual professionals, and organizations of all types and sizes, to better understand and use O.R. and analytics tools and methods to transform strategic visions and achieve better outcomes.

Introduction
Model Description
Preliminaries
Network and Infrastructure
Charging Control Rule
State Descriptor
Continuity of the Optimal Allocation Function
Fluid Model Definition
Fluid Limit Theorem
Proofs for Section 3
Proofs for Section 4
Findings
Fluid Limits Satisfy the Fluid Model Solutions
Full Text
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