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基于图论的空间热网拓扑结构 被引量:10

Topology Structure of Spatial Heat-supply Network Based on Graph Theory
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摘要 针对多热源环状热网水力工况分析所涉及的非平面网、及故障工况供回水管网不对称的问题,基于图论提出一种建立空间热网拓扑结构的方法:根据供回水管网基本结构信息,采用面向对象的程序设计方法,定义图并包含相关算法,自动生成关联矩阵和基本回路矩阵;在平面图的基础上,结合热源和热用户信息,采用广度优先搜索生成空间热网的"树",据此构建空间热网的基本关联矩阵和基本回路矩阵.研制了建立多热源环状空间热网拓扑结构的程序,通过哈尔滨开发区热网的模拟,对程序的计算性能进行验证.该方法以图的相关算法为基础,能适应不同型式管网的计算,为复杂热网的水力工况分析和非对称热网的计算提供手段. A multi-heat source ring-shaped heat-supply network is not a plane net and supply-return pipe net is dissymmetric under faulty condition. We present a method for topology structure of spatial heat-supply network based on graph theory. With object-oriented programming, it defines graph and includes correlation arithmetic according to basic structure information of supply-return pipe net and builds incidence matrix and fundamental circuit matrix automatically. It creates a spatial heat-supply network "tree" which includes information of heat source and heat users and adopts breadth-first search based on plane graph. According the tree, basic incidence matrix and fundamental circuit matrix of spatial heat-supply network are established. In simulating heating network of Harbin development zone, a program of multi-heat source ring-shaped heat-supply network in topology structure is build and computing performance is verified. It provides a method for complex heat-supply network hydrodynamic condition analysis and dissymmetric heat- supply network calculation based on arithmetic of graph and adapts to various model pipe nets.
出处 《计算物理》 CSCD 北大核心 2014年第2期207-215,共9页 Chinese Journal of Computational Physics
基金 亚热带建筑科学国家重点实验室开放基金(2010KB07)资助项目
关键词 多热源环状热网 空间热网 拓扑结构 水力工况 图论 muhi-heat-source ring-shaped heat-supply network spatial heat-supply network topology structure hydrodynamic condition graph theory
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