考虑转轮质量涨落的水轮发电机组分数阶动力分析

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (11) : 172-177.

振动理论与交叉研究

考虑转轮质量涨落的水轮发电机组分数阶动力分析

郎嵩涛1，荆岫岩2，孙尔军3，谭志锋4，郝国文5，孙万泉*1

作者信息 +

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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文章历史 +

摘要

水轮发电机组在运行过程中，其振动过程相互影响，具有明显的历史记忆性。并且转轮处压力脉动频繁波动，也导致其具有明显的附加质量涨落现象。针对以上问题，在分析机组实测振动记忆效应的基础上，建立了考虑质量涨落的水轮发电机组轴系分数阶非线性动力学模型，并基于MWORKS平台对模型进行了仿真计算。研究了分数阶阶次、质量涨落对机组分数阶非线性动力学特性的影响。结果表明：水轮发电机组振动具有明显的历史记忆性和长相关特性；分数阶阶次对系统记忆性和运动状态影响较大，阶次越高系统记忆性越好，分数阶模型能够更准确更灵活地模拟机组不同工况的历史记忆特性；转轮质量涨落能在一定程度上减小机组振幅，提高系统稳定性，对系统建模和响应分析有较大影响。

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.

导出引用

郎嵩涛1, 荆岫岩2, 孙尔军3, 谭志锋4, 郝国文5, 孙万泉1. 考虑转轮质量涨落的水轮发电机组分数阶动力分析[J]. 振动与冲击, 2025, 44(11): 172-177

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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