Synchronization of coupled wind turbines

Fuente: arXiv
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Autores principales: Kouonang, Nadia Kevine, Mabekou, Jeanne Sandrine Takam, Njougouo, Thierry, Carletti, Timoteo
Formato: Preprint
Publicado: 2026
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_version_ 1866917529305219072
author Kouonang, Nadia Kevine
Mabekou, Jeanne Sandrine Takam
Njougouo, Thierry
Carletti, Timoteo
author_facet Kouonang, Nadia Kevine
Mabekou, Jeanne Sandrine Takam
Njougouo, Thierry
Carletti, Timoteo
contents In the context of renewable energies, wind energy appears as a sustainable alternative to address current environmental and energy challenges. This work studies the synchronization and stability of a network of wind turbines subjected to strong disturbances, by integrating a realistic modeling of wind variability by using the Ornstein-Uhlenbeck stochastic process. The dynamics of each wind turbine are described by a Kuramoto-type equation, while synchronization is analyzed through the time evolution of the phases. Stability is studied by analyzing the basin of attraction to the synchronous solution, namely the set of initial conditions leading to the stable synchronous state. Simulations carried out on various models ranging from an isolated wind turbine with constant power to an isolated wind turbine with variable wind power, reveal that the stability of the system is strongly influenced by inertia, damping, wind speed, wind fluctuation rate, correlation time, and coupling strength. Physically, these parameters control the balance between injected mechanical power, energy dissipation, grid-induced restoring forces, and the temporal structure of wind fluctuations, thereby determining the ability of the wind turbine to absorb perturbations and maintain synchronization under fluctuating wind conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2605_25192
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Synchronization of coupled wind turbines
Kouonang, Nadia Kevine
Mabekou, Jeanne Sandrine Takam
Njougouo, Thierry
Carletti, Timoteo
Physics and Society
Dynamical Systems
In the context of renewable energies, wind energy appears as a sustainable alternative to address current environmental and energy challenges. This work studies the synchronization and stability of a network of wind turbines subjected to strong disturbances, by integrating a realistic modeling of wind variability by using the Ornstein-Uhlenbeck stochastic process. The dynamics of each wind turbine are described by a Kuramoto-type equation, while synchronization is analyzed through the time evolution of the phases. Stability is studied by analyzing the basin of attraction to the synchronous solution, namely the set of initial conditions leading to the stable synchronous state. Simulations carried out on various models ranging from an isolated wind turbine with constant power to an isolated wind turbine with variable wind power, reveal that the stability of the system is strongly influenced by inertia, damping, wind speed, wind fluctuation rate, correlation time, and coupling strength. Physically, these parameters control the balance between injected mechanical power, energy dissipation, grid-induced restoring forces, and the temporal structure of wind fluctuations, thereby determining the ability of the wind turbine to absorb perturbations and maintain synchronization under fluctuating wind conditions.
title Synchronization of coupled wind turbines
topic Physics and Society
Dynamical Systems
url https://arxiv.org/abs/2605.25192