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

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

doi:10.1109/CDC45484.2021.9683125

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 proceeding › Conference contribution

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 language	English (US)
Title of host publication	60th IEEE Conference on Decision and Control, CDC 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4944-4949
Number of pages	6
ISBN (Electronic)	9781665436595
DOIs	https://doi.org/10.1109/CDC45484.2021.9683125
State	Published - 2021
Externally published	Yes
Event	60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States Duration: Dec 13 2021 → Dec 17 2021

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2021-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	60th IEEE Conference on Decision and Control, CDC 2021
Country/Territory	United States
City	Austin
Period	12/13/21 → 12/17/21

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Online availability

10.1109/CDC45484.2021.9683125

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Ajala, O., Baeckeland, N., Dhople, S., & Dominguez-Garcia, A. (2021). Uncovering the Kuramoto Model from Full-order Models of Grid-forming Inverter-based Power Networks. In 60th IEEE Conference on Decision and Control, CDC 2021 (pp. 4944-4949). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC45484.2021.9683125

Uncovering the Kuramoto Model from Full-order Models of Grid-forming Inverter-based Power Networks. / Ajala, Olaoluwapo; Baeckeland, Nathan; Dhople, Sairaj et al.
60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. p. 4944-4949 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ajala, O, Baeckeland, N, Dhople, S & Dominguez-Garcia, A 2021, Uncovering the Kuramoto Model from Full-order Models of Grid-forming Inverter-based Power Networks. in 60th IEEE Conference on Decision and Control, CDC 2021. Proceedings of the IEEE Conference on Decision and Control, vol. 2021-December, Institute of Electrical and Electronics Engineers Inc., pp. 4944-4949, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, United States, 12/13/21. https://doi.org/10.1109/CDC45484.2021.9683125

Ajala O, Baeckeland N, Dhople S, Dominguez-Garcia A. Uncovering the Kuramoto Model from Full-order Models of Grid-forming Inverter-based Power Networks. In 60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. p. 4944-4949. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC45484.2021.9683125

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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.",

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AB - 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.

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

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