TY - JOUR

T1 - Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant

T2 - stability, oscillations, and accident

AU - Kuznetsov, N. V.

AU - Yuldashev, M. V.

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.

PY - 2021/2/1

Y1 - 2021/2/1

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.

KW - Hydraulic turbine

KW - Hydropower unit

KW - Oscillations

KW - Sayano-Shushenskaya hydropower plant

KW - Simulation

KW - Speed governor

KW - Synchronous generator

KW - HIDDEN OSCILLATIONS

KW - ATTRACTORS

KW - AIZERMAN

KW - ALGORITHMS

UR - http://www.scopus.com/inward/record.url?scp=85091633756&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/d1ab1613-c4dc-3d08-a52b-5fc6ee528521/

U2 - 10.1016/j.cnsns.2020.105530

DO - 10.1016/j.cnsns.2020.105530

M3 - Article

AN - SCOPUS:85091633756

VL - 93

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 105530

ER -