南水北调工程辛庄口门有压重力输水系统管径优化设计

Diameters optimal design of Xinzhuang pressured gravity water transportation pipes system in South-to-North Water Transfer Project

南水北调工程河南省辛庄口门输水系统设计日供水能力86万m3,总长约212 km,属典型的长距离、大流量有压重力输水系统,管道在整个工程投资中所占比例较大。为节省工程投资,结合辛庄口门实际情况,建立了以管道材料用量最小为目标函数,满足设计供水能力为约束条件的数学模型,采用非线性规划的方法对管道直径进行了最优化求解,计算结果为实际工程的最优化设计提供了有力支持。

Xinzhuang pressured gravity water transportation pipes system in South-to-North Water Transfer Project is located in Henan. The total length of Xinzhuang pipes system is about 212 km with the capacity of 860 000 m3/d. It is a typical long dis- tance, large flow, pressured gravity water transportation pipes system. The pipes cost is a large proportion in investment. To save the investment, a mathmatic model is established for Xinzhuang pipes system. The model＇ s objective function is the amount of pipes material consumed, and the constraint condition is the water supply capacity. The diameters of pipes are optimized by using the nonlinear programming method. These results are very useful for the project design.