On synchronization of third-order power systems governed by second-order networked Kuramoto oscillators incorporating first-order magnitude dynamics

• Published in: Physica. D 2024-11, Vol.467, p.134232, Article 134232
• Main Authors: Chen, Shih-Hsin, Hsia, Chun-Hsiung, Chu, Chia-Chi
• Format: Article
• Language: English
• Subjects: Amplitude; Kuramoto; Power system; Synchronization; Third-order; Voltage
• ISSN: 0167-2789; 1872-8022
• DOI: 10.1016/j.physd.2024.134232

This study explores the sufficient conditions for achieving synchronization in the third-order one-axis generator models in modern power systems, characterized by the second-order networked Kuramoto oscillators integrating the first-order amplitude dynamics. First, we provide detailed descriptions of dynamic models for this particular class of third-order power systems, which are governed by second-order networked Kuramoto oscillators incorporating first-order voltage magnitude dynamics. Then, we show that if the phase difference of oscillators is less than π2 and the initial amplitudes are positive, then the amplitudes are bounded and possess a positive lower bound. Furthermore, under specific conditions on the coupling strength, inertia, and oscillator parameters, we prove that the third-order model exhibits a frequency synchronization and the derivatives of amplitudes converge to zero. Numerical simulations are performed to support our main results. •Explore sufficient conditions for achieving synchronization in the third-order one-axis generator model, characterized by the second-order Kuramoto oscillators integrating the first-order amplitude dynamics.•When the phase difference of oscillators is less than π/2 and the amplitudes are positive initially, the amplitudes remain bounded and possess a positive lower bound.•Under specific conditions on coupling strength, inertia, and oscillator parameters, the third-order model exhibits a frequency synchronization.