基于基尔霍夫定律的虚拟仿真管网平差优化设计  

Optimization design of pipe network adjustment based on Kirchhoff and virtual simulation

作　　者：彭永丽 郭丽娜 蔡建安 任梦娇 田迎春 张育 PENG Yong-li;GUO Li-na;CAI Jian-an;REN Meng-jiao;TIAN Ying-chun;ZHANG Yu(School of Civil Engineering,Ma’anshan University,Ma’anshan,Anhui 243100,China;School of Energy and Environment,Anhui University of Technology,Ma’anshan,Anhui 243002,China)

机构地区：[1]马鞍山学院建筑工程学院,安徽马鞍山243100 [2]安徽工业大学能源与环境学院,安徽马鞍山243002

出　　处：《宁德师范学院学报（自然科学版）》2024年第1期36-43,共8页Journal of Ningde Normal University(Natural Science)

基　　金：国家级大学生创新创业项目(202313614005).

摘　　要：为解决管网平差精度和可视化问题,基于基尔霍夫定律,构建“衔接矩阵”“环路矩阵”和“追溯矩阵”3个矩阵进行管网平差;以各环闭合差的绝对值之和最小为目标进行规划求解,从而得到高精度的平差结果,完成管网平差的优化设计.把平差的数学模型和约束条件在Labview的编程平台上进行可视化编程,开发出环状给水管网的水力计算的虚拟仿真软件,以直观地展示平差的结果和节点处的压力.仿真结果显示,管网平差的四环闭合差绝对值之和为2.041×10^(-10) m,表明闭合差控制在了精度范围内,而且远远小于管网平差精度要求.实际工况模拟显示,利用虚拟仿真技术模拟管网平差甚至事故校核等,均具有高效、高精度和直观的特点,可大大提高计算效率和准确性.In order to solve the problem of adjustment accuracy and visualization of pipe network,based on Kirchhoff’s law,three matrices,“connection matrix”,“loop matrix”and“traceability matrix”,are constructed for pipe network adjustment,and the goal is to minimize the absolute sum of the closure errors of each ring for planning and solving,so as to obtain high-precision adjustment results and complete the optimization design of pipe network adjustment.The mathematical model and constraint conditions of adjustment were visually pro-grammed on the programming platform of Labview,and a virtual simulation software for hydraulic calculation of the ring water supply network was developed to visually display the adjustment results and the pressure at the nodes.The simulation results show that the sum of the absolute value of the four-ring closing difference of the pipe network adjustment is 2.041×10^(-10)m,indicating that the closing difference is controlled within the accu-racy range,and is far less than the accuracy requirements of the pipe network adjustment.The actual working condition simulation shows that the use of virtual simulation technology to simulate pipe network adjustment and even accident check has the characteristics of high efficiency,high precision and intuitive,which can greatly improve the calculation efficiency and accuracy.

关 键 词：环状管网 管网平差 优化设计 虚拟仿真 基尔霍夫定律 

分 类 号：TU991[建筑科学—市政工程]