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

Minghui Lu, Victor Purba, Sairaj Dhople, Brian Johnson

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


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 languageEnglish (US)
Title of host publicationProceedings - IECON 2020
Subtitle of host publication46th Annual Conference of the IEEE Industrial Electronics Society
PublisherIEEE Computer Society
Number of pages6
ISBN (Electronic)9781728154145
StatePublished - Oct 18 2020
Externally publishedYes
Event46th Annual Conference of the IEEE Industrial Electronics Society, IECON 2020 - Virtual, Singapore, Singapore
Duration: Oct 19 2020Oct 21 2020

Publication series

NameIECON Proceedings (Industrial Electronics Conference)


Conference46th Annual Conference of the IEEE Industrial Electronics Society, IECON 2020
CityVirtual, Singapore

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.

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