Microgrid Distributed Frequency Control over Time-Varying Communication Networks

Madi Zholbaryssov, Alejandro Dominguez-Garcia

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

Abstract

In this paper, we study AC microgrid dynamics under a completely decentralized primary control, and a secondary frequency control the implementation of which is distributed over a communication network with communication links that are time-varying and can be (i) bidirectional, or (ii) unidirectional. For a certain class of controllers, the closed-loop system dynamics solve a certain multi-agent optimization problem by performing two steps: (i) gradient-descent, and (ii) distributed averaging. The proposed framework allows to explore many of the existing distributed algorithms developed for solving general multi-agent optimization problems over time-varying communication networks. In particular, we use the subgradient-push algorithm to design a distributed frequency controller, and we present the convergence analysis for the closed-loop system. We also dwell on this framework and propose a distributed frequency controller that does not require agents (power generators) to know their out-degree, which is a necessary assumption for the convergence of the subgradient-push algorithm.

Original languageEnglish (US)
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5722-5727
Number of pages6
ISBN (Electronic)9781538613955
DOIs
StatePublished - Jan 18 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: Dec 17 2018Dec 19 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2018-December
ISSN (Print)0743-1546

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
CountryUnited States
CityMiami
Period12/17/1812/19/18

Fingerprint

Time varying networks
Microgrid
Communication Networks
Telecommunication networks
Time-varying
Closed loop systems
Controllers
Subgradient
Controller
Closed-loop System
Optimization Problem
Parallel algorithms
Telecommunication links
Gradient Descent
Distributed Algorithms
Convergence Analysis
System Dynamics
Decentralized
Averaging
Generator

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Zholbaryssov, M., & Dominguez-Garcia, A. (2019). Microgrid Distributed Frequency Control over Time-Varying Communication Networks. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 5722-5727). [8619398] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619398

Microgrid Distributed Frequency Control over Time-Varying Communication Networks. / Zholbaryssov, Madi; Dominguez-Garcia, Alejandro.

2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 5722-5727 8619398 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

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

Zholbaryssov, M & Dominguez-Garcia, A 2019, Microgrid Distributed Frequency Control over Time-Varying Communication Networks. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619398, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 5722-5727, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 12/17/18. https://doi.org/10.1109/CDC.2018.8619398
Zholbaryssov M, Dominguez-Garcia A. Microgrid Distributed Frequency Control over Time-Varying Communication Networks. In 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 5722-5727. 8619398. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2018.8619398
Zholbaryssov, Madi ; Dominguez-Garcia, Alejandro. / Microgrid Distributed Frequency Control over Time-Varying Communication Networks. 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 5722-5727 (Proceedings of the IEEE Conference on Decision and Control).
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