Uncovering the Kuramoto Model from Full-order Models of Grid-forming Inverter-based Power Networks

Olaoluwapo Ajala, Nathan Baeckeland, Sairaj Dhople, Alejandro Dominguez-Garcia

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

11 Scopus citations

Abstract

This paper presents parametric assumptions under which the classical Kuramoto model can be uncovered from full-order models of an interconnected group of gridforming inverters based on droop control, virtual synchronous machine control and/or dispatchable virtual oscillator control. The equivalence is established with reduced-order models that are derived by leveraging singular-perturbation analysis, timedomain Kron reduction of the network dynamics, and a particular control configuration that is based on the inductance-toresistance ratio of interconnecting transmission lines. Numerical results compare the phase and frequency response of the fullorder model and the reduced-order Kuramoto model.

Original languageEnglish (US)
Title of host publication60th IEEE Conference on Decision and Control, CDC 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4944-4949
Number of pages6
ISBN (Electronic)9781665436595
DOIs
StatePublished - 2021
Externally publishedYes
Event60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States
Duration: Dec 13 2021Dec 17 2021

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2021-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference60th IEEE Conference on Decision and Control, CDC 2021
Country/TerritoryUnited States
CityAustin
Period12/13/2112/17/21

Bibliographical note

Funding Information:
This work was supported in part by the U.S. Department of Energy’s Office of Energy Efficiency and Renewable Energy (EERE) under Solar Energy Technologies Office (SETO) Agreement Number EE0009025.

Publisher Copyright:
© 2021 IEEE.

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