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环状给水管网优化设计的一种综合方法
引用本文:白丹,杨培君,宋立勋.环状给水管网优化设计的一种综合方法[J].系统工程理论与实践,2007,27(7):137-143.
作者姓名:白丹  杨培君  宋立勋
作者单位:1. 西安理工大学,教育部西北水资源与环境生态重点实验室,西安,710048
2. 西安工程大学,西安,710048
基金项目:西安理工大学高学历人员科研启动经费
摘    要:提出了一种环状给水管网优化设计的综合方法.这一方法以环状管网年费用(或投资)最小为目标函数,将二次正交旋转回归设计、二次规划和线性规划有机的结合在一起,较好的解决了环状管网的优化设计计算问题.在这一方法中,用二次正交旋转回归设计确定环状管网管段流量分配方案,用线性规划模型计算每一流量分配方案管网的年费用,建立管网的管段流量与年费用之间的二次多元回归方程;以这个二次多元回归方程为目标函数,用二次规划方法确定管网的管段流量分配最优方案;根据最优流量分配方案,用线性规划模型确定管网的最优设计方案.算例表明这一方法是可行的,可用于单水源泵站加压管网和重力管网的优化设计.

关 键 词:环状给水管网  优化设计  二次正交旋转回归设计  二次规划  线性规划
文章编号:1000-6788(2007)07-0137-07
修稿时间:2005年2月24日

The Synthesis Optimal Design Method of Looped Water Supply Networks
BAI Dan,YANG Pei-jun,SONG Li-xun.The Synthesis Optimal Design Method of Looped Water Supply Networks[J].Systems Engineering —Theory & Practice,2007,27(7):137-143.
Authors:BAI Dan  YANG Pei-jun  SONG Li-xun
Abstract:The synthesis procedure,in which the minimum annual cost(or investment) is used as the objective function,is presented to optimize looped water supply networks,combining the quadric orthogonal circumrotation regression design,the quadratic programming and the linear programming together.Firstly,the flow distribution schemes are set down by means of quadric orthogonal circumrotation regression design,the annual cost of each flow distribution scheme is determined by linear programming,the quadric multiple regression equation between the annual cost and the pipe segment discharges is established flow distribution scheme.Secondly,the optimal flow distribution scheme in which the quadric multiple regression equation is used as the objective function is determined by the quadratic programming.Finally,the optimal design of looped network is determined by the linear programming based on the optimal flow distribution scheme.The procedure can be used to optimize the single resource looped network with pump station and gravity.
Keywords:looped water supply network  optimal design  quadric orthogonal circumrotation regression design  quadratic programming  linear programming
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