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 a customer (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
Pages (from-to)83-137
Number of pages55
JournalQueueing Systems
Volume93
Issue number1-2
DOIs
Publication statusPublished - 1 Oct 2019

Fingerprint

Electric Vehicle
Queueing Model
Electric vehicles
Limit Theorems
Parking
Railroad cars
Grid
Queueing networks
Diffusion Approximation
Queueing Networks
Limit theorems
Electric vehicle
Queueing model
Congestion
Battery
Servers
Server
Customers
Fluid
Fluids

Keywords

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

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 a customer (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.",
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Bounds and limit theorems for a layered queueing model in electric vehicle charging. / Aveklouris, Angelos (Corresponding author); Vlasiou, Maria; Zwart, Bert.

In: Queueing Systems, Vol. 93, No. 1-2, 01.10.2019, p. 83-137.

Research output: Contribution to journalArticleAcademicpeer-review

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