Grid-forming lambda-omega virtual oscillator control in converter-based power systems

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding


Inspired by the kinetics of wave phenomena in reaction-diffusion models of biological systems, we propose a novel grid-forming control strategy for control of three-phase DC/AC converters in power systems. The ($\lambda-\omega$) virtual oscillator control or ($\lambda-\omega$) VOC is a natural increment on ideas from virtual oscillator dynamics rotating at a fixed nominal frequency to adaptive, angle-based frequency function. We study a network of identical three-phase DC/AC converters interconnected via $\Pi$ transmission lines. For this, we prove almost global asymptotic stability for a reduced (time-scale separated) version of the model, associated to a well-defined set of controller gains and system parameters. Additionally, we link the ($\lambda-\omega$) VOC to well-studied controllers in the literature, e.g. droop control. Finally, we validate our results on an example three DC/AC converter network.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Control Engineering
Original languageEnglish
Title of host publicationProceedings of the European Control Conference, ECC 2021
Number of pages8
Publication statusSubmitted - 2020 Nov
Publication categoryResearch
EventEuropean Control Conference 2021 - Rotterdam | De Doelen, Rotterdam | De Doelen, Netherlands
Duration: 2021 Jun 292021 Jul 2


ConferenceEuropean Control Conference 2021
CityRotterdam | De Doelen
Internet address

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