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This work is devoted to the construction and study of a mathematical model ofhydropower unit, consisting of synchronous generator, hydraulic turbine, andspeed governor. It is motivated by the accident happened on theSayano-Shushenskaya hydropower plant in 2009 year. Parameters of theSayano-Shushenskaya hydropower plant were used for modeling the system.Oscillations in zones, which were not recommended for operation, were found.The obtained results are consistent with the full-scale test results carriedout for hydropower units of the Sayano-Shushenskaya hydropower plant in 1988.

A dynamical model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident