A Fluid Model of an Electric Vehicle Charging Network

Angelos Aveklouris; Maria Vlasiou; Bert Zwart

doi:10.1287/stsy.2021.0084

A Fluid Model of an Electric Vehicle Charging Network

Angelos Aveklouris^*, Maria Vlasiou, Bert Zwart

^*Corresponding author for this work

Mathematics of Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

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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. 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 language	English
Pages (from-to)	151-180
Number of pages	30
Journal	Stochastic systems
Volume	12
Issue number	2
Early online date	26 Jan 2022
DOIs	https://doi.org/10.1287/stsy.2021.0084
Publication status	Published - Jun 2022

Keywords

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

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title = "A Fluid Model of an Electric Vehicle Charging Network",

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 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.",

keywords = "AC power flow model, electric vehicle charging, fluid approximation, linearized Distflow, measure-valued processes",

author = "Angelos Aveklouris and Maria Vlasiou and Bert Zwart",

note = "Funding Information: The research of A. Aveklouris is funded by a TOP grant of the Netherlands Organization for Scientific Research (NWO) [Project 613.001.301]. The research of M. Vlasiou is supported by the NWO [MEERVOUD Grant 632.003.002]. The research of B. Zwart is partly supported by the NWO [VICI Grant 639.033.413]. Publisher Copyright: {\textcopyright} 2022 The Author(s).",

year = "2022",

month = jun,

doi = "10.1287/stsy.2021.0084",

language = "English",

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pages = "151--180",

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AU - Vlasiou, Maria

AU - Zwart, Bert

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N2 - 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.

AB - 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.

KW - AC power flow model

KW - electric vehicle charging

KW - fluid approximation

KW - linearized Distflow

KW - measure-valued processes

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DO - 10.1287/stsy.2021.0084

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JO - Stochastic systems

JF - Stochastic systems

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A Fluid Model of an Electric Vehicle Charging Network

Abstract

Keywords

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Polyhedral restrictions of feasibility regions in optimal power flow for distribution networks

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