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Mean-field approach for frequency synchronization in complex networks of two oscillator types

Stefan Wieland 1 Simone Blanco Malerba 1 Sébastien Aumaitre 1 Hervé Bercegol 1 
1 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
Abstract : Oscillator networks with an asymmetric bipolar distribution of natural frequencies are useful representations of power grids. We propose a mean-field model that captures the onset, form, and linear stability of frequency synchronization in such oscillator networks. The model takes into account a broad class of heterogeneous connection structures and identifies a functional form as well as basic properties that synchronized regimes possess classwide. The framework also captures synchronized regimes with large phase differences that commonly appear just above the critical threshold. Additionally, the accuracy of mean-field assumptions can be gauged internally through two model quantities. With our framework, the impact of local grid structure on frequency synchronization can be systematically explored.
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https://hal-cea.archives-ouvertes.fr/cea-03452009
Contributor : Hervé Bercegol Connect in order to contact the contributor
Submitted on : Friday, November 26, 2021 - 5:08:31 PM
Last modification on : Wednesday, January 12, 2022 - 11:43:15 AM

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Stefan Wieland, Simone Blanco Malerba, Sébastien Aumaitre, Hervé Bercegol. Mean-field approach for frequency synchronization in complex networks of two oscillator types. Physical Review E , American Physical Society (APS), 2018, 97 (5), ⟨10.1103/PhysRevE.97.052310⟩. ⟨cea-03452009⟩

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