城门洞形断面输水隧洞临界水深的计算方法

在城门洞形断面输水隧洞的水力计算中,其临界水深的求解方程无显函数形式的表达公式。为尝试避免传统低效的经验试算法、图解法等,通过对城门洞形断面输水隧洞临界流基本方程进行数学变换,其临界水深计算问题可归结为一非线性优化问题,再运用实数编码加速遗传算法(RAGA)求解。基于Borland JBuilder9 Enterprise环境编写了算法实现程序,对不同断面尺寸的城门洞形输水隧洞临界流进行了计算和分析。结果表明,RAGA方法具有计算速度快、精度和自动化程度高、通用性强等优点,比常用方法简便。

Calculation Method of Critical Water Depth in City-gate Section of Water Conveying Tunnel

In the hydraulic calculation of the city-gate section of water conveying tunnel,its solution equation of critical water depth does not display the function type of expressing formula. In order to try the avoiding of the traditional low-efficient experienced checking method and illustrating method,and through the mathematics transform of the basic equation of critical flow in the city-gate section of water conveying tunnel,its critical water depth calculation problem can be come down to a nonlinear optimizing problem,then real accelerating genetic arithmetic (RAGA) is applied to find a solution. Based on Borland JBuider9 Enterprise environment,the arithmetic realizing program is compiled to calculate and analyze the critical flows of the different sections of city-gate water conveying tunnels. The result makes clearly that RAGA method has the advantages of high calculation speed,high precision and automatic level,high commonality and etc.,which is more simple and convenient that the common method.