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

Journal Article · Mon Feb 11 00:00:00 EST 2019 · IEEE Transactions on Automatic Control

DOI:https://doi.org/10.1109/TAC.2019.2898549· OSTI ID:1576475

Colombino, Marcello ^[1]; Colombino, Marcello ^[1]; Gross, Dominic ^[2]; Brouillon, Jean-Sebastien ^[2]; Dorfler, Florian ^[2]

---

1. National Renewable Energy Laboratory (NREL), Golden, CO (United States)
2. ETH Zurich

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.

• Research Organization: National Renewable Energy Lab. (NREL), Golden, CO (United States)
• Sponsoring Organization: USDOE Office of Energy Efficiency and Renewable Energy (EERE)
• DOE Contract Number: AC36-08GO28308
• OSTI ID: 1576475
• Report Number(s): NREL/JA-5D00-75518
• Journal Information: IEEE Transactions on Automatic Control, Vol. 64, Issue 11
• Country of Publication: United States
• Language: English

Related Subjects

24 POWER TRANSMISSION AND DISTRIBUTION
Clarke transformation
Kuramoto oscillator
virtual oscillator control (VOC)