A stochastic resource-sharing network for electric vehicle charging

Angelos Aveklouris (Corresponding author), Maria Vlasiou, Bert Zwart

Research output: Contribution to journalArticleAcademicpeer-review

21 Citations (Scopus)

Abstract

We consider a distribution grid used to charge electric vehicles (EVs) such that voltage drops stay bounded. We model this as a class of resource-sharing networks, known as bandwidth-sharing networks in the communication network literature. We focus on resource-sharing networks that are driven by a class of greedy control rules that can be implemented in a decentralized fashion. For a large number of such control rules, we can characterize the performance of the system by a fluid approximation. This leads to a set of dynamic equations that take into account the stochastic behavior of EVs. We show that the invariant point of these equations is unique and can be computed by solving a specific AC optimal-power-flow problem (ACOPF), which admits an exact convex relaxation. We illustrate our findings with a case study using the SCE 47-bus network and several special cases that allow for explicit computations.

Original languageEnglish
Article number8709819
Pages (from-to)1050-1061
Number of pages12
JournalIEEE Transactions on Control of Network Systems
Volume6
Issue number3
DOIs
Publication statusPublished - Sept 2019

Funding

Manuscript received January 16, 2019; accepted April 21, 2019. Date of publication May 8, 2019; date of current version September 17, 2019. The work of Angelos Aveklouris was funded by a TOP grant of the Netherlands Organization for Scientific Research (NWO) through project 613.001.301. The work of Maria Vlasiou was supported by the NWO MEERVOUD under grant 632.003.002. The work of Bert Zwart was in part supported by the NWO VICI under grant 639.033.413. Recommended by Associate Editors M. Chertkov and M. R. Jovanovic. (Corresponding author: Angelos Aveklouris.) A. Aveklouris and M. Vlasiou are with the Eindhoven University of Technology, the Netherlands (e-mail:, [email protected]; [email protected]).

Keywords

  • AC power flow model
  • distribution network
  • electric vehicle charging
  • fluid approximation
  • linearized Distflow
  • queueing theory
  • stochastic processes

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