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基于独立通路思想的风网平衡图绘制数学模型研究 被引量:9

Study of mathematical model of plotting of equilibrium of ventilation network based on independent path idea
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摘要 风网平衡图就是网络中的每一条分支都用一矩形块表示,并按网络的拓扑关系把矩形块排列起来,其中矩形块的宽度代表分支风量,矩形块的高度代表分支的阻力.它是直观定量反映通风网络所有特性的最佳方法.笔者以独立通路思想为指导,采用深度优先搜索法确定全部独立通路,然后建立独立通路所属分支对应的平衡图矩形块的左下角点坐标和右上角点坐标计算模型,该模型适合各种网络类型.论述了平面网络、柱面网络和一般立体网络的平衡图绘制问题.快速、准确地自动绘制风网平衡图对直观全面地评价通风系统、进行通风网络优化和通风日常管理等都具有重要意义. What is called equilibrium graph of ventilation network is that every branch of a network is represented by a rectangular block, and the blocks are arranged according to the topology of the network, in which the width of a rectangular block represents the air quantity of a corresponding branch, and the height of the rectangular block represents the resistance of the branch. Equilibrium graph of ventilation network is the best means which can describe all the properties of a ventilation network. According to the idea of independent path, depthfirst search method is adopted to determine all independent paths, and then a model to calculate the coordinates of left lower nodes and right upper nodes of the rectangular blocks that correspond to branches in the independent paths is established, at the same time, the model fit all kinds of network. The plotting problems of plane network, cylinder network and general threedimensional network are also discussed in the paper. Plotting the equilibrium graph of ventilation network quickly and accurately has significant meanings to evaluating a ventilation system visually and comprehensively, to ventilation network optimum and to the daily management of ventilation.
出处 《煤炭学报》 EI CAS CSCD 北大核心 2003年第2期153-156,共4页 Journal of China Coal Society
关键词 风网平衡图 拓扑关系 深度优先搜索法 通风系统 平面网络 柱面网络 立体网络 equilibrium graph of ventilation network independent path plane network cylindrical network three-dimensional network
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  • 1徐瑞龙.通风网路的可靠度确定[J]阜新矿业学院学报,1985(03).
  • 2黄翰文.通风网路平衡图理论及其应用[J]煤矿安全,1981(05).
  • 3黄翰文.通风网路平衡图理论及其应用[J]煤矿安全,1981(05).
  • 4刘剑,徐瑞龙.确定风网中的独立通路[J].阜新矿业学院学报,1992,11(3):33-35. 被引量:11

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