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Inspired by the kinetics of wave phenomena in reaction-diffusion models ofbiological systems, we propose a novel grid-forming control strategy forcontrol of three-phase DC/AC converters in power systems. The($\lambda-\omega$) virtual oscillator control or (lambda-omega) VOC is anatural increment on ideas from virtual oscillator dynamics rotating at a fixednominal frequency to adaptive, angle-based frequency function. We study anetwork of identical three-phase DC/AC converters interconnected via $\Pi$transmission lines. For this, we prove almost global asymptotic stability for areduced (time-scale separated) version of the model, associated to awell-defined set of controller gains and system parameters. Additionally, welink 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/ACconverter network.

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