Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident

N. V. Kuznetsov; M. V. Yuldashev; R. V. Yuldashev

doi:10.1016/j.cnsns.2020.105530

Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident

N. V. Kuznetsov, M. V. Yuldashev, R. V. Yuldashev

Результат исследований: Научные публикации в периодических изданиях › статья › рецензирование

4 Цитирования (Scopus)

Аннотация

This work is devoted to the analysis of a mathematical model of hydropower unit, consisting of synchronous generator, hydraulic turbine, and speed governor. It is motivated by the accident happened on the Sayano-Shushenskaya hydropower plant in 2009. In the analysis we follow the line of classical mathematical control theory approach developed in the works of famous scientists J.C. Maxwell, I.A. Vishnegradsky, A.A. Andronov, and F. Tricomi for the study of centrifugal turbine governor and electrical machines limit-load problem. It is shown that the occurrence of vibrations in the Sayano-Shushenskaya hydropower plant can be caused by nonlinear dynamics of the closed-form model. (C) 2020 Elsevier B.V. All rights reserved.

Язык оригинала	английский
Номер статьи	105530
Число страниц	16
Журнал	Communications in Nonlinear Science and Numerical Simulation
Том	93
Ранняя дата в режиме онлайн	12 сен 2020
DOI	https://doi.org/10.1016/j.cnsns.2020.105530
Состояние	Опубликовано - фев 2021

Предметные области Scopus

Прикладная математика
Численный анализ
Моделирование и симуляция

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10.1016/j.cnsns.2020.105530

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title = "Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident",

abstract = "This work is devoted to the analysis of a mathematical model of hydropower unit, consisting of synchronous generator, hydraulic turbine, and speed governor. It is motivated by the accident happened on the Sayano-Shushenskaya hydropower plant in 2009. In the analysis we follow the line of classical mathematical control theory approach developed in the works of famous scientists J.C. Maxwell, I.A. Vishnegradsky, A.A. Andronov, and F. Tricomi for the study of centrifugal turbine governor and electrical machines limit-load problem. It is shown that the occurrence of vibrations in the Sayano-Shushenskaya hydropower plant can be caused by nonlinear dynamics of the closed-form model. (C) 2020 Elsevier B.V. All rights reserved.",

keywords = "Hydraulic turbine, Hydropower unit, Oscillations, Sayano-Shushenskaya hydropower plant, Simulation, Speed governor, Synchronous generator, HIDDEN OSCILLATIONS, ATTRACTORS, AIZERMAN, ALGORITHMS",

author = "Kuznetsov, {N. V.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",

note = "Funding Information: This work was supported by Russian Science Foundation project 19-41-02002 (sections 1-8) and the Leading Scientific Schools project NSh-2624.2020.1 (sections 9-10). Authors would also like to thank E.P. Solovyeva for participation in the preparation of initial manuscript draft. We dedicate this paper to the memory of Gennady A. Leonov (1947-2018), with whom we started this work. Publisher Copyright: {\textcopyright} 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

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Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant : stability, oscillations, and accident. / Kuznetsov, N. V.; Yuldashev, M. V.; Yuldashev, R. V.

В: Communications in Nonlinear Science and Numerical Simulation, Том 93, 105530, 02.2021.

Результат исследований: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Yuldashev, R. V.

N1 - Funding Information: This work was supported by Russian Science Foundation project 19-41-02002 (sections 1-8) and the Leading Scientific Schools project NSh-2624.2020.1 (sections 9-10). Authors would also like to thank E.P. Solovyeva for participation in the preparation of initial manuscript draft. We dedicate this paper to the memory of Gennady A. Leonov (1947-2018), with whom we started this work. Publisher Copyright: © 2020 Elsevier B.V. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

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N2 - This work is devoted to the analysis of a mathematical model of hydropower unit, consisting of synchronous generator, hydraulic turbine, and speed governor. It is motivated by the accident happened on the Sayano-Shushenskaya hydropower plant in 2009. In the analysis we follow the line of classical mathematical control theory approach developed in the works of famous scientists J.C. Maxwell, I.A. Vishnegradsky, A.A. Andronov, and F. Tricomi for the study of centrifugal turbine governor and electrical machines limit-load problem. It is shown that the occurrence of vibrations in the Sayano-Shushenskaya hydropower plant can be caused by nonlinear dynamics of the closed-form model. (C) 2020 Elsevier B.V. All rights reserved.

AB - This work is devoted to the analysis of a mathematical model of hydropower unit, consisting of synchronous generator, hydraulic turbine, and speed governor. It is motivated by the accident happened on the Sayano-Shushenskaya hydropower plant in 2009. In the analysis we follow the line of classical mathematical control theory approach developed in the works of famous scientists J.C. Maxwell, I.A. Vishnegradsky, A.A. Andronov, and F. Tricomi for the study of centrifugal turbine governor and electrical machines limit-load problem. It is shown that the occurrence of vibrations in the Sayano-Shushenskaya hydropower plant can be caused by nonlinear dynamics of the closed-form model. (C) 2020 Elsevier B.V. All rights reserved.

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KW - Synchronous generator

KW - HIDDEN OSCILLATIONS

KW - ATTRACTORS

KW - AIZERMAN

KW - ALGORITHMS

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