基于模拟退火与布谷鸟混合算法的树状灌溉管网优化设计

Optimal Design of Tree-shaped Irrigation Pipe Network Based on Mixed Algorithm of Simulated Annealing and Cuckoo

为实现树状灌溉管网低能耗、投资节约以及灌水均匀度高等目的,构建了树状灌溉管网非线性数学模型,设定压力、管径、流速为约束条件,设计了模拟退火与布谷鸟(SACS)混合算法,结合文献[14]资料数据分别采用遗传(GA)算法、模拟退火遗传(SAGA)混合算法、布谷鸟搜索(CS)算法、SACS混合算法4种优化算法对模型进行了求解。优化结果表明,采用SACS混合算法比GA算法灌溉管长减少了16.27%、投资节约了2.13%,比SAGA混合算法、CS算法,虽灌溉管长相等,但管径得到较大的优化,投资分别节约了3.76%、17.28%,验证了SACS混合算法的有效性。最后,以贵州省石阡县龙塘大屯茶叶园区216 hm^(2)现代水利试点区喷灌工程为例,采用SACS混合算法对喷灌工程管网进行了优化,比传统设计方法灌溉管长减少了12.08 m,投资节约了17.93%,优化效果明显,为树状灌溉工程管网优化设计提供了新的思路。

In order to achieve the goals of low energy consumption,saving investment and high irrigation uniformity of the tree-shaped irrigation pipe network,in this paper,a nonlinear mathematical model of tree-shaped irrigation pipe network is constructed,and a hybrid algorithm of simulated annealing and cuckoo(SACS)was designed by setting pressure,pipe diameter and flow rate as constraint conditions.Combined with the data in literature[14],four optimization algorithms including genetic(GA)algorithm,Simulated annealing genetic(SAGA)hybrid algorithm,cuckoo search(CS)algorithm and SACS hybrid algorithm were used to solve the model.The optimization results showed that the use of the SACS hybrid algorithm reduced the length of the irrigation pipe by 16.27%and the investment by 2.13%compared with the GA algorithm.Compared with the SAGA hybrid algorithm and the CS algorithm,although the irrigation pipe length was the same,the pipe diameter was greatly optimized and the investment was saved by 3.76%and 17.28%respectively,which verified the effectiveness of SACS hybrid algorithm.Finally,taking the sprinkler irrigation project in the 216 hm^(2) modern water conservancy pilot area in Longtang Datun Tea Park,Shiqian County,Guizhou Province,as an example,the SACS hybrid algorithm was used to optimize the sprinkler irrigation project pipe network.Compared with the traditional design method,the irrigation pipe length was reduced by 12.08 m,and the investment was saved by 17.93%.The optimization effect was obvious.This study provides a new idea for optimal design of tree-shaped irrigation pipe network.