A stochastic resource-sharing network for electric vehicle charging

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

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)


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
Issue number3
Publication statusPublished - Sep 2019


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


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