Comparison of Droop Control and Virtual Oscillator Control Realized by Andronov-Hopf Dynamics

Minghui Lu; Victor Purba; Sairaj Dhople; Brian Johnson

doi:10.1109/IECON43393.2020.9254645

Comparison of Droop Control and Virtual Oscillator Control Realized by Andronov-Hopf Dynamics

Minghui Lu, Victor Purba, Sairaj Dhople, Brian Johnson

Electrical and Computer Engineering

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

10 Scopus citations

Abstract

Virtual oscillator control (VOC) is a time-domain strategy for regulating the operation of grid-forming (GFM) inverters. The premise of this method is to leverage the dynamics of nonlinear oscillator circuits to realize controllers; the time-domain nature of the resulting implementation is starkly different from classical droop control methods. This paper considers VOC realized with the dynamics of the Andronov-Hopf oscillator, a second-order nonlinear dynamical system that enables GFM inverters to be dispatched and generate low-harmonic outputs while not compromising dynamic performance. Leveraging an equilibrium analysis of the involved dynamics and small-signal models, we put forth a side-by-side comparison of dynamic performance and small-signal stability with classical droop control. The results demonstrate superior dynamic performance of VOC, and broadly, the paper furthers efforts focused on modeling and analysis of this general class of GFM controllers.

Original language	English (US)
Title of host publication	Proceedings - IECON 2020
Subtitle of host publication	46th Annual Conference of the IEEE Industrial Electronics Society
Publisher	IEEE Computer Society
Pages	4051-4056
Number of pages	6
ISBN (Electronic)	9781728154145
DOIs	https://doi.org/10.1109/IECON43393.2020.9254645
State	Published - Oct 18 2020
Event	46th Annual Conference of the IEEE Industrial Electronics Society, IECON 2020 - Virtual, Singapore, Singapore Duration: Oct 19 2020 → Oct 21 2020

Publication series

Name	IECON Proceedings (Industrial Electronics Conference)
Volume	2020-October

Conference

Conference	46th Annual Conference of the IEEE Industrial Electronics Society, IECON 2020
Country/Territory	Singapore
City	Virtual, Singapore
Period	10/19/20 → 10/21/20

Bibliographical note

Funding Information:
This material is based upon work supported 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, the National Science Foundation through grant 1509277, and Washington Research Foundation.

Publisher Copyright:
© 2020 IEEE.

Publisher link

10.1109/IECON43393.2020.9254645

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Lu, M., Purba, V., Dhople, S., & Johnson, B. (2020). Comparison of Droop Control and Virtual Oscillator Control Realized by Andronov-Hopf Dynamics. In Proceedings - IECON 2020: 46th Annual Conference of the IEEE Industrial Electronics Society (pp. 4051-4056). [9254645] (IECON Proceedings (Industrial Electronics Conference); Vol. 2020-October). IEEE Computer Society. https://doi.org/10.1109/IECON43393.2020.9254645

Comparison of Droop Control and Virtual Oscillator Control Realized by Andronov-Hopf Dynamics. / Lu, Minghui; Purba, Victor; Dhople, Sairaj et al.

Proceedings - IECON 2020: 46th Annual Conference of the IEEE Industrial Electronics Society. IEEE Computer Society, 2020. p. 4051-4056 9254645 (IECON Proceedings (Industrial Electronics Conference); Vol. 2020-October).

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

Lu, M, Purba, V, Dhople, S & Johnson, B 2020, Comparison of Droop Control and Virtual Oscillator Control Realized by Andronov-Hopf Dynamics. in Proceedings - IECON 2020: 46th Annual Conference of the IEEE Industrial Electronics Society., 9254645, IECON Proceedings (Industrial Electronics Conference), vol. 2020-October, IEEE Computer Society, pp. 4051-4056, 46th Annual Conference of the IEEE Industrial Electronics Society, IECON 2020, Virtual, Singapore, Singapore, 10/19/20. https://doi.org/10.1109/IECON43393.2020.9254645

Lu M, Purba V, Dhople S, Johnson B. Comparison of Droop Control and Virtual Oscillator Control Realized by Andronov-Hopf Dynamics. In Proceedings - IECON 2020: 46th Annual Conference of the IEEE Industrial Electronics Society. IEEE Computer Society. 2020. p. 4051-4056. 9254645. (IECON Proceedings (Industrial Electronics Conference)). doi: 10.1109/IECON43393.2020.9254645

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abstract = "Virtual oscillator control (VOC) is a time-domain strategy for regulating the operation of grid-forming (GFM) inverters. The premise of this method is to leverage the dynamics of nonlinear oscillator circuits to realize controllers; the time-domain nature of the resulting implementation is starkly different from classical droop control methods. This paper considers VOC realized with the dynamics of the Andronov-Hopf oscillator, a second-order nonlinear dynamical system that enables GFM inverters to be dispatched and generate low-harmonic outputs while not compromising dynamic performance. Leveraging an equilibrium analysis of the involved dynamics and small-signal models, we put forth a side-by-side comparison of dynamic performance and small-signal stability with classical droop control. The results demonstrate superior dynamic performance of VOC, and broadly, the paper furthers efforts focused on modeling and analysis of this general class of GFM controllers.",

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N2 - Virtual oscillator control (VOC) is a time-domain strategy for regulating the operation of grid-forming (GFM) inverters. The premise of this method is to leverage the dynamics of nonlinear oscillator circuits to realize controllers; the time-domain nature of the resulting implementation is starkly different from classical droop control methods. This paper considers VOC realized with the dynamics of the Andronov-Hopf oscillator, a second-order nonlinear dynamical system that enables GFM inverters to be dispatched and generate low-harmonic outputs while not compromising dynamic performance. Leveraging an equilibrium analysis of the involved dynamics and small-signal models, we put forth a side-by-side comparison of dynamic performance and small-signal stability with classical droop control. The results demonstrate superior dynamic performance of VOC, and broadly, the paper furthers efforts focused on modeling and analysis of this general class of GFM controllers.

AB - Virtual oscillator control (VOC) is a time-domain strategy for regulating the operation of grid-forming (GFM) inverters. The premise of this method is to leverage the dynamics of nonlinear oscillator circuits to realize controllers; the time-domain nature of the resulting implementation is starkly different from classical droop control methods. This paper considers VOC realized with the dynamics of the Andronov-Hopf oscillator, a second-order nonlinear dynamical system that enables GFM inverters to be dispatched and generate low-harmonic outputs while not compromising dynamic performance. Leveraging an equilibrium analysis of the involved dynamics and small-signal models, we put forth a side-by-side comparison of dynamic performance and small-signal stability with classical droop control. The results demonstrate superior dynamic performance of VOC, and broadly, the paper furthers efforts focused on modeling and analysis of this general class of GFM controllers.

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Comparison of Droop Control and Virtual Oscillator Control Realized by Andronov-Hopf Dynamics

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