简单管水击随机分析再探

A Further Study of Stochastic Analysis of Waterhammer Pressure in a Reservoir-pipe-valve System

水击大小的不确定性取决于水电站水击的发生条件及其影响因素的随机性。在文献 [1 ]的研究基础上 ,本文考虑更多的随机影响因素 ,从简单管水击极值近似解析表达式出发 ,推导了年最大水击压力的解析概率分布。算例表明 ,与概率分布的 0 .95分位点值相比 ,总内水压力和第一相水击升压的确定性分析结果在数值上尚接近 ;但极限水击升压的确定性分析结果偏小 ,这值得引起工程界注意。

Following the literature[1],the stochastic analysis of waterhammer is further studied in this paper.The statistical characteristics and probability distributions of such influential factors as boundary conditions,initial states and parameters of hydraulic systems are analyzed,and the analytic probability functions of the maximum waterhammer pressure in the system are derived.Computational examples are presented,and the probability distributions of the annual maximum value of total hydraulic pressures(the static plus the dynamic pressures,namely waterhammer)and that of the dynamic pressure are all provided.\;Compared with design values of 0\^95\|probability\|point of stochastic analysis,the total hydraulic pressure and the dynamic pressure of first\|phase\|waterhammer from definite analysis is reasonable in magnitude;but the dynamic pressure of limited\|waterhammer is a little less,which is worthy to be noted by hydraulic engineers.