Global Phase and Magnitude Synchronization of Coupled Oscillators With Application to the Control of Grid-Forming Power Inverters

Marcello Colombino, Dominic Gross, Jean-Sebastien Brouillon, Florian Dorfler

Research output: Contribution to journalArticlepeer-review

118 Scopus Citations

Abstract

In this paper, we explore a new approach to synchronization of coupled oscillators. In contrast to the celebrated Kuramoto model, we do not work in polar coordinates and do not consider oscillations of fixed magnitude. We propose a synchronizing feedback based on relative state information and local measurements that induces consensus-like dynamics. We show that, under a mild stability condition, the combination of the synchronizing feedback with a decentralized magnitude control law renders the oscillators' almost globally asymptotically stable with respect to set points for the phase shift, frequency, and magnitude. We apply these result to rigorously solve an open problem in control of inverter-based ac power systems. In this context, the proposed control strategy can be implemented using purely local information, induces a grid-forming behavior, and ensures that a network of ac power inverters is almost globally asymptotically stable with respect to a prespecified solution of the ac power-flow equations. Moreover, we show that the controller exhibits a droop-like behavior around the standard operating point, thus, making it backward compatible with the existing power system operation.
Original languageAmerican English
Pages (from-to)4496-4511
Number of pages16
JournalIEEE Transactions on Automatic Control
Volume64
Issue number11
DOIs
StatePublished - 2019

NREL Publication Number

  • NREL/JA-5D00-75518

Keywords

  • Clarke transformation
  • Kuramoto oscillator
  • virtual oscillator control (VOC)

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