排灌机械工程学报
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排灌机械工程学报  2011, Vol. 29 Issue (1): 54-60    DOI: 10.3969/j.issn.1674-8530.2011.01.012
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基于改进粒子群算法求解马蹄形断面正常水深
张宽地1, 王光谦2, 吕宏兴1, 陈俊英1, 洪 成3
(1.西北农林科技大学 水利与建筑工程学院, 陕西 杨凌 712100;2.清华大学 水沙科学与水利水电工程国家重点实验室, 北京 100084; 3.水利部淮河水利委员会, 安徽 蚌埠 233000)
Applying Particle Swarm Optimization algorithm on normal depth calculation of horse-shoe section tunnel
Zhang Kuandi1, Wang guangqian2, Lü Hongxin1, Cheng Junying1, Hong Cheng3
(1.College of Water Resources and Architectural Engineering, Northwest A & F University, Yangling, Shaanxi 712100, China; 2.State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China; 3.Huaihe River Commission Ministry of Water Resource, Bengbu, Anhui 233000, China)
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摘要 为了解决马蹄形断面正常水深无显函数计算方法的现状,通过对明渠恒定均匀流方程进行数学变换,得到了标准Ⅰ,Ⅱ型马蹄形过水断面正常水深求解的分段非线性约束优化问题.将粒子群算法中的权重函数随着迭代次数和不同粒子与最优粒子之间的距离大小进行调整,用以加速算法的收敛速度和提高粒子的搜索能力,并将调整惯性权重模型的粒子群优化算法运用到马蹄形断面正常水深的求解中.通过实例计算及误差分析表明:分段优化模型在水深特征点连续,且该法能100%收敛到全局最优解,故该方法求解马蹄形断面正常水深适用性强、计算精度高、算法实现简单,为马蹄形过水断面水力计算提供了一条新途径.
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张宽地
王光谦
吕宏兴
陈俊英
洪 成
关键词水力计算   正常水深   粒子群算法   马蹄形断面   明渠均匀流     
Abstract: Owing to the fact that the calculation formulas of normal depth for free flow in horseshoe section of tunnel and drainage culvert are not expressed by explicit function in hydraulics. By mathematical transformation of normal depth equation of  horse-shoe section tunnel, a model of nonlinear constrained optimization for calculating the normal depths of standard Ⅰ-type and Ⅱ-type horse-shoe section  tunnel was established. In order to accelerate the convergence rate of the algorithm and improve the searching ability of particle, an improved Particle Swarm Optimization algorithm was presented. The dynamic inertia weight was changed in every loop according to the particle′s positions and the distance between the optimization particle. Error analysis and a computed illustration using the new method indicate that it is much more applicable, precise and simple than traditional methods for calculation of normal water depth. At the same time, the correctness and validity of the new method was demonstrated. So it provided a new tool for obtaining normal depth of open channel with horse-shoe section problem.
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收稿日期: 2010-07-16; 出版日期: 2011-01-30
基金资助:

国家自然科学基金资助项目(41001159);国家973计划项目(2007CB407201)

通讯作者: 吕宏兴(1955-),男,陕西陇县人,教授,博士生导师(通讯作者,lvhongxing@tom.com),主要从事水力学及河流动力学的研究.    
作者简介: 张宽地(1978-),男,宁夏隆德人,讲师,博士(zhangkuandi428@126.com),主要从事水工水力学及坡面水流的研究.
引用本文:   
张宽地,王光谦,吕宏兴等. 基于改进粒子群算法求解马蹄形断面正常水深[J]. 排灌机械工程学报, 2011, 29(1): 54-60.
ZHANG Kuan-Di,WANG Guang-Qian,吕Hong-Xing et al. Applying Particle Swarm Optimization algorithm on normal depth calculation of horse-shoe section tunnel[J]. Journal of Drainage and Irrigation Machinery Engin, 2011, 29(1): 54-60.
 
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