Model validation and stochastic stability of a hydro-turbine governing system under hydraulic excitations
Model validation and stochastic stability of a hydro-turbine governing system under hydraulic excitations
复制标题
水轮机调节系统在水力激励下的模型验证和随机稳定性
DOI：
10.1016/j.ijepes.2017.08.008
复制
发表时间：
2018-02
影响因子：
5.2
通讯作者：
Jiang Yanlong
中科院分区：
文献类型：
--
作者：
Xu Beibei;Chen Diyi;Tolo Silvia;Jiang Yanlong
本文讨论了水轮机调节系统在水力激励下的稳定性。水轮机运行过程中，经常发生不同强度的水锤，导致压力钢管截面积（A）发生随机变化。在本研究中，我们首先引入一个与水锤强度相关的压力钢管横截面积（A）的随机变量。利用切比雪夫多项式近似，将随机水轮机调节模型简化为其等效的确定性模型，通过数值试验可以获得随机水轮机调节系统的动态特性。通过基于运行水电站的比较，我们验证了随机模型适合描述水轮机调节系统在全面应用中的动态行为。我们还分析了随机强度增加下动态变量的变化规律。此外，利用不同值的微分系数来研究系统的稳定性，并给出了水轮机流量随负荷扰动增加的稳定性。最后，上述数值结果为大型水电站运行的高效建模提供了一定的基础。
This paper addresses the stability of a hydro-turbine governing system under hydraulic excitations. During the operation of a hydro-turbine, water hammer with different intensities occurs frequently, resulting in the stochastic change of the cross-sectional area (A) of the penstock. In this study, we first introduce a stochastic variableuto the cross-sectional area (A) of the penstock related to the intensity of water hammer. Using the Chebyshev polynomial approximation, the stochastic hydro-turbine governing model is simplified to its equivalent deterministic model, by which the dynamic characteristics of the stochastic hydro-turbine governing system can be obtained from numerical experiments. From comparisons based on an operational hydropower station, we verify that the stochastic model is suitable for describing the dynamic behaviors of the hydro-turbine governing system in full-scale applications. We also analyze the change laws of the dynamic variables under increasing stochastic intensity. Moreover, the differential coefficient with different values is used to study the stability of the system, and stability of the hydro-turbine flow with the increasing load disturbance is also presented. Finally, all of the above numerical results supply some basis for modeling efficiently the operation of large hydropower stations.
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