Geodesic
Relaxation oscillations in the Darie wind power plant model
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 1, pp. 31-39

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The article discusses the mathematical model of the Daria small wind power plant. This installation is a type of vertical axis wind turbine named after its inventor, Georges Jean Marie Darrieux. The design consists of a vertically oriented shaft with curved blades or airfoils attached to it, forming a shape similar to an egg whisk. In today's world, against the backdrop of climate change and steadily increasing energy demand, wind energy acts as a critical pillar of the transition to renewable energy sources. This technology helps reduce carbon emissions and mitigate humanity's impact on the environment. In this context, wind energy is emerging not only as a means of supplying electricity, but also as a powerful catalyst for building a more sustainable and energy-efficient future. The equation of stationary modes is studied at the value of the external resistance of the dynamic model specified by the simplest equation. Conditions have been found under which relaxation oscillations are observed in the system.
Keywords: mathematical modeling, dynamic models, wind power plant, function approximation, invariant manifolds, differential equations.
Mots-clés : relaxation oscillations, singular perturbations 
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     author = {A. S. Kirsanova},
     title = {Relaxation oscillations in the {Darie} wind power plant model},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {31--39},
     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2024_30_1_a2/}
}
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A. S. Kirsanova. Relaxation oscillations in the Darie wind power plant model. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 1, pp. 31-39. http://geodesic.mathdoc.fr/item/VSGU_2024_30_1_a2/