Mathematical Modeling of Transients of the Hydraulic Unit of the Sayano-Shushenskaya HPP
Author(s):
Gennady Alekseevich Leonov
St. Petersburg State University,
Faculty of Mathematics and Mechanics, Professor
correspondent member RAS
Nikolay Vladimirovich Kuznetsov
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
Marat Vladimirovich Yuldashev
St. Petersburg State University,
Faculty of Mathematics and Mechanics, Professor
PhD in physics and mathematics
maratyv@gmail.com
Renat Vladimirovich Yuldashev
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
References:
- RusHydro. The act of technical investigation of the causes of the accident that occurred on August 17, 2009. Tech. rep. , 2009
- Ganiev R. F. Nelineinie rezonansi i katastrofi. Nadezhnost, bezopasnost i besshumnost. Moskva, Izhevsk: regulyarnaya i haoticheskaya dinamica, 2013. 592 p
- Fortov V. E., Fedorov M. P. Avaria na Sayano-Shushenskoy GES i nauchno-tekhnicheskoe soprovoogdenie ee vosstanovlenia // Zasedanie Prezidiuma rossiiskoi akademii nauk. 29. 06. 2010. http://www.ras.ru/FStorage/Download.aspx?id=7d431c54-8c18-42c4- aeff-6dfc9ea18aa4
- Seleznev V. S., Liseikin, A. V., Briskin A. A, Goromiko P. V. O prichine avarii na Sayano-Shushenskoi GES s tochki zrenia seismologa // Interekspo Geo-Sibir. 2015. Vol. 2, no 2. Fortov V. E., Fedorov M. P. Avaria na Sayano-Shushenskoy GES i nauchno-tekhnicheskoe soprovoogdenie ee vosstanovlenia // Zasedanie Prezidiuma rossiiskoi akademii nauk. 29. 06. 2010. http://www.ras.ru/FStorage/Download.aspx?id=7d431c54-8c18-42c4- aeff-6dfc9ea18aa4
- Leonov G. A., Kuznetsov N. V., Solovyeva E. P. [Mathematical modelling of the oscillations in turbogenerators of Sayano-Shushenskaya HPP]. Doklady Akademii Nauk, 2016 (in Russ. )
- Leonov G. A., Kuznetsov N. V., Solovyeva E. P. A simple dynamical model of hydropower plant: stability and oscillations // IFAC-PapersOnLine. 2015. Vol. 48, no. 11. P. 656-661
- Colebrook C. F., Blench T., Chatley H. et al. Turbulent Flow In Pipes, With Particular Reference To The Transition Region Between The Smooth And Rough Pipe Laws. (includes Plates). Journal of the Institution of Civil engineers. 1939; Vol. 12, no. 8. P. 393-422
- Demello F. P., Koessler R. J., Agee J. et al. Hydraulic turbine and turbine control models for system dynamic studies. IEEE Trans. on Power Systems, 1992; Vol. 7, no. 1. P. 167-179
- Krivchenko G. I. Gidravlicheskie mashinyi: Turbinyi i nasosyi. Uchebnik dlya vuzov. [Hydraulic machines: turbines and pumps. University textbook]. Moscow, Energy Publ, 1978. 320 p
- Andreev V. B., Bronovskii T. A., Veremeenko I. S. Spravochnik po gidroturbinam [Handbook of hydro turbines]. Mashinostroenie Publ, 1984. 496 p
- Bryizgalov V. I. Iz opyita sozdaniya i osvoeniya Krasnoyarskoi i Sayano-Shushenskoi gidroelektrostantsii [From the experience of the creation and development of the Krasnoyarsk’s and Sayano-Shushenskaya hydroelectric power plants]. Krasnoyarsk, Surikov Publ., 1999. 561 p
- Merkur'ev G. V., SHargin YU. M. Ustoichivost' energosistem [Stability of energy systems]. NOU Centr podgotovki kadrov energetiki, 2008. 300p
- Pivovarov V. A. Proektirovanie i raschet sistem regulirovaniya gidroturbin [Design and calculation of control systems of hydroturbines]. Leningrad, Mashinostroenie Publ., 1973. 288 p
- Munoz-Hernandez German Ardul, Jones Dewi Ieuan et al. Modelling and controlling hydropower plants. Springer Science & Business Media, 2012. 297 p
- Karapetyan I. G., Faibisovich D. L. Spravochnik po proektirovaniyu ehlektricheskih setei [Handbook of electrical network design]. ANAS Publ., 2012. 377 p
- Berg G. J. Power-system load representation. Proceedings of the Institutionof Electrical Engineers IET. 1973; Vol. 120. (344-348)
- Price W. W., Chiang H. D., Clark H. K. et al. Load representation for dynamic performance analysis. IEEE Transactions on Power Systems. 1993; Vol. 8, no. 2. (472-482)