ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

# Differential Equations and Control Processes (Differencialnie Uravnenia i Protsesy Upravlenia)

## Mathematical Modeling of Transients of the Hydraulic Unit of the Sayano-Shushenskaya HPP

### Author(s):

St. Petersburg State University,
Faculty of Mathematics and Mechanics, Professor
correspondent member RAS

St. Petersburg State University,
Faculty of Mathematics and Mechanics, Professor
Dr.Sc.

nkuznetsov239@gmail.com

Boris Rostislavich Andrievsky

Institute for Problems in Mechanical Engineering
of the Russian Academy of Sciences (IPME RAS),
St.Petersburg, Russia
Doctor of Technical Sciences

St. Petersburg State University,
Faculty of Mathematics and Mechanics, Professor
PhD in physics and mathematics

maratyv@gmail.com

St. Petersburg State University,
Faculty of Mathematics and Mechanics, Professor
PhD in physics and mathematics

renatyv@gmail.com

### Abstract:

This work is devoted to the study of oscillations in hydroelectric power plants (HPPs). It represents an extension of the previous work motivated by the accident at the Sayano-Shushenskaya HPP in 2009. The mathematical model of the hydraulic unit is supplemented by the models of electrical load and excitation system. The mathematical model of the speed governor desribing the system used at the Sayano-Shushenskaya HPP was considered. In the turbine model the changes in the efficiency and pressure fluctuations under the cover, which were identified during field tests, were took into account. A numerical simulation of the transient processes in the system with changing load was performed.

### Keywords

• dynamical systems
• hydroelectric power plant equations
• mathematical model of the hydraulic unit

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