Synchronization of a Kuramoto-like model for power grids with frustration | Zendy

Xiaoxue Zhao | Zendy; Zhuchun Li | Zendy

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Synchronization of a Kuramoto-like model for power grids with frustration

Author(s) -

Xiaoxue Zhao,

Zhuchun Li

Publication year - 2020

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2020030

Subject(s) - frustration , synchronization (alternating current) , monotonic function , phase (matter) , power (physics) , synchronization networks , kuramoto model , computer science , topology (electrical circuits) , physics , statistical physics , mathematics , mathematical analysis , combinatorics , quantum mechanics , condensed matter physics

We discuss the complete synchronization for a Kuramoto-like model for power grids with frustration. For identical oscillators without frustration, it will converge to complete phase and frequency synchronization exponentially fast if the initial phases are distributed in a half circle. For nonidentical oscillators with frustration, we present a framework leading to complete frequency synchronization where the initial phase configurations are located inside the half of a circle. Our estimates are based on the monotonicity arguments of extremal phase and frequency.

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