Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2021, Volume 27, Issue 4, Pages 92–98
DOI: https://doi.org/10.18287/2541-7525-2021-27-4-92-98
(Mi vsgu672)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling

Bifurcations of stationary regimes in the model of a wind power plant

A. S. Kirsanova

Samara National Research University, Samara, Russian Federation
Full-text PDF (341 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The article should use a mathematical model of a wind power plant. In the chosen world, alternative energy is actively developing, as natural resources for harmful energy carriers are significantly reduced every year. In turn, the energy reserves of life situations turned out to be related to world problems. Thus, the relevance of this problem is solved in the free system of the wind section. The complexity of this work is determined by the fact that the model, which is not defined, is found completely, that is, part of the functions in the mathematical model is set only graphically, based on experimental data. The graph of relative aerodynamic moment of forces is approximated. The ratio of stationary modes is studied for various values of external resistance of the dynamic model. Conditions are found under which a saddle-node bifurcation and a supercritical Andronov–Hopf bifurcation are observed in the system.
Keywords: mathematical modelling, dynamical models, wind power plant, stationary modes, function approximation, Andronov–Hopf bifurcation, saddle-node bifurcation, differential equations.
Received: 20.09.2021
Revised: 22.10.2021
Accepted: 25.11.2021
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. S. Kirsanova, “Bifurcations of stationary regimes in the model of a wind power plant”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:4 (2021), 92–98
Citation in format AMSBIB
\Bibitem{Kir21}
\by A.~S.~Kirsanova
\paper Bifurcations of stationary regimes in the model of a wind power plant
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2021
\vol 27
\issue 4
\pages 92--98
\mathnet{http://mi.mathnet.ru/vsgu672}
\crossref{https://doi.org/10.18287/2541-7525-2021-27-4-92-98}
Linking options:
  • https://www.mathnet.ru/eng/vsgu672
  • https://www.mathnet.ru/eng/vsgu/v27/i4/p92
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного университета. Естественнонаучная серия
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025