随机分析方法及其在水击和调压室涌浪中的研究进展

介绍了随机分析方法在水利工程中的应用,包括工程上建立随机模型的方法和对模型的求解研究。综述了1997年以后水电站水击与调压室涌浪随机分析的现状、新的研究方法和研究成果。主要研究成果有:证明了调压室涌浪随机模型存在唯一的均方解;推导出了水头损失和最大相对涌浪值的密度函数计算公式;求解了调压室涌浪解过程的联合密度函数和简单水力系统的水头均值过程等。针对研究现状,提出了水电站水击与调压室涌浪随机分析的3点建议。

Advances in stochastic analysis of waterhammer and surge at hydropower stations

An introduction was given to the application of stochastic analysis method in water conservancy projects,including the methods to develop and solve the stochastic model.The current situation of stochastic analysis of waterhammer and surge at hydropower stations,the new research methods and the latest achievements since 1997 were summarized.The main achievements are as follows: it is verified that there is an unique mean square solution to the stochastic surge model;the formulas for probability density function of head loss and the maximum relative surge level were deduced;the joint probability density function for solving surge process and the mean head process of simple hydraulic system were also derived.Finally,some suggestions were made for stochastic analysis of waterhammer and surges at hydropower stations.