Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 64, Issue 11, Pages 4496-4511Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2019.2898549
Keywords
Oscillators; Inverters; Power system stability; Synchronization; Power system dynamics; Asymptotic stability; Clarke transformation; Kuramoto oscillator; virtual oscillator control (VOC)
Funding
- European Union's Horizon 2020 Research and Innovation Program [691800]
- ETH Seed Project [SP-ESC 2015-07(4)]
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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.
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