Distributed Equilibrium-Learning for Power Network Voltage Control with a Locally Connected Communication Network

Kaiqing Zhang, Wei Shi, Hao Zhu, Tamer Başar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We address the problem of voltage control in power distribution networks by coordinating the distributed energy resources (DERs) at different buses. This problem has been investigated actively via either distributed optimization-based or local feedback control-based approaches. The former one requires a strongly-connected communication network among all DERs for implementing the optimization algorithms, which is not yet realistic in existing distribution systems with under-deployed communication infrastructure. The latter one, on the other hand, has been proven to suffer from loss of network-wide operational optimality. In this paper, we propose a game-theoretic characterization for semi-local voltage control with only a locally connected communication network. We analyze the existence and uniqueness of the generalized Nash equilibrium (GNE) for this characterization, and develop a fully distributed equilibrium-learning algorithm that hinges on only neighbor-to-neighbor information exchange of DERs. Provable convergence results are provided along with numerical tests, to illustrate the robust convergence property of our algorithm.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3092-3097
Number of pages6
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Publication series

NameProceedings of the American Control Conference
Volume2018-June
ISSN (Print)0743-1619

Other

Other2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period6/27/186/29/18

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Zhang, K., Shi, W., Zhu, H., & Başar, T. (2018). Distributed Equilibrium-Learning for Power Network Voltage Control with a Locally Connected Communication Network. In 2018 Annual American Control Conference, ACC 2018 (pp. 3092-3097). [8430919] (Proceedings of the American Control Conference; Vol. 2018-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8430919