Bounds and limit theorems for a layered queueing model in electric vehicle charging

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Abstract

The rise of electric vehicles (EVs) is unstoppable due to factors such as the decreasing cost of batteries and various policy decisions. These vehicles need to be charged and will therefore cause congestion in local distribution grids in the future. Motivated by this, we consider a charging station with finitely many parking spaces, in which electric vehicles arrive in order to get charged. An EV has a random parking time and a random charging time. Both the charging rate per vehicle and the charging rate possible for the station are assumed to be limited. Thus, the charging rate of uncharged EVs depends on the number of cars charging simultaneously. This model leads to a layered queueing network in which parking spaces with EV chargers have a dual role, of a server (to cars) and customers (to the grid). We are interested in the performance of the aforementioned model, focusing on the fraction of vehicles that get fully charged. To do so, we develop several bounds and asymptotic (fluid and diffusion) approximations for the vector process, which describes the total number of EVs and the number of not fully charged EVs in the charging station, and we compare these bounds and approximations with numerical outcomes.
Original languageEnglish
Article number1810.05473
Number of pages36
JournalarXiv
Issue number1810.05473
Publication statusPublished - 15 Oct 2018

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Electric vehicles
Parking
Railroad cars
Queueing networks
Servers
Fluids
Costs

Keywords

  • Electric Vehicle charging
  • Layered queueing networks
  • Fluid approximation
  • Diffusion approximation

Cite this

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title = "Bounds and limit theorems for a layered queueing model in electric vehicle charging",
abstract = "The rise of electric vehicles (EVs) is unstoppable due to factors such as the decreasing cost of batteries and various policy decisions. These vehicles need to be charged and will therefore cause congestion in local distribution grids in the future. Motivated by this, we consider a charging station with finitely many parking spaces, in which electric vehicles arrive in order to get charged. An EV has a random parking time and a random charging time. Both the charging rate per vehicle and the charging rate possible for the station are assumed to be limited. Thus, the charging rate of uncharged EVs depends on the number of cars charging simultaneously. This model leads to a layered queueing network in which parking spaces with EV chargers have a dual role, of a server (to cars) and customers (to the grid). We are interested in the performance of the aforementioned model, focusing on the fraction of vehicles that get fully charged. To do so, we develop several bounds and asymptotic (fluid and diffusion) approximations for the vector process, which describes the total number of EVs and the number of not fully charged EVs in the charging station, and we compare these bounds and approximations with numerical outcomes.",
keywords = "Electric Vehicle charging, Layered queueing networks, Fluid approximation, Diffusion approximation",
author = "Angelos Aveklouris and Maria Vlasiou and Bert Zwart",
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Bounds and limit theorems for a layered queueing model in electric vehicle charging. / Aveklouris, Angelos; Vlasiou, Maria; Zwart, Bert.

In: arXiv, No. 1810.05473 , 1810.05473, 15.10.2018.

Research output: Contribution to journalArticleAcademic

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