Fractional-order dynamic analysis of hydro-turbine generator unit&nbsp;considering runner mass fluctuation#br#

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (11) : 172-177.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Fractional-order dynamic analysis of hydro-turbine generator unit considering runner mass fluctuation#br#

LANG Songtao1, JING Xiuyan2, SUN Erjun3, TAN Zhifeng4, HAO Guowen5, SUN Wanquan*1

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Abstract

In the operation of hydro turbine generator units, the vibration processes are interrelated and exhibit significant historical memory characteristics. Additionally, the frequent fluctuations in pressure pulsation at the runner lead to notable phenomena of additional mass variation. To address these issues, a fractional-order nonlinear dynamic model of the rotor system for hydro turbine generator units was established, considering mass fluctuations, based on an analysis of the measured vibration memory effects of the units. Simulations of the model were conducted using the MWORKS platform. The influence of fractional-order degree and mass fluctuations on the fractional-order nonlinear dynamic characteristics of the units was investigated. The results indicate that the vibrations of hydro turbine generator units exhibit significant historical memory and long-range correlation characteristics. The fractional-order degree has a substantial impact on the system's memory and motion state; higher order leads to better memory performance, and the fractional-order model can more accurately and flexibly simulate the historical memory characteristics of the units under different operating conditions. Furthermore, fluctuations in runner mass can, to some extent, reduce the amplitude of the units and enhance system stability, which has a significant impact on system modeling and response analysis.

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Vibration of Hydropower Generator Units；Fractional calculus / memory / mass fluctuation / nonlinear dynamics

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LANG Songtao1, JING Xiuyan2, SUN Erjun3, TAN Zhifeng4, HAO Guowen5, SUN Wanquan1. Fractional-order dynamic analysis of hydro-turbine generator unit considering runner mass fluctuation#br#[J]. Journal of Vibration and Shock, 2025, 44(11): 172-177

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