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 (Corresponding author), 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. 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
DOIs	https://doi.org/10.1287/stsy.2021.0084
Publication status	Published - Jun 2022

Bibliographical 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].

Funding

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].

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.",

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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]. ",

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A Fluid Model of an Electric Vehicle Charging Network

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