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

Source: [Grid-forming lambda-omega virtual oscillator control in converter-based power systems](<https://www.sota2.com/research/paper/68fa57a41e209131ce9a741b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:51:33.146Z

Authors: Taouba Jouini, Emma Tegling, Zhiyong Sun

Published: 2020-12-20T12:40:23.000Z

## Abstract

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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2012.10907>)

[PDF](<https://arxiv.org/pdf/2012.10907.pdf>)