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本文在现有管道建模研究的基础上，提出了用“对偶点”描述管道构件（管子、管件和设备）的局部连接约束及用扩展的图结构描述管道整体拓扑结构的建模方法．文中分析了管网结构的组成规律及原有建模方法的不足，论述了用对偶点抽象构件之间拓扑约束的方法，并由此实现了用一致的拓扑结构描述管子、管件、设备，给出了基于复边表示的管网图的严格数学定义，通过扩展权域建立了完整的管网图的邻接表结构．
Based on the existing research on pipeline modeling, this paper proposes a local connection constraint describing the pipeline components (pipes, fittings and equipment) with “dual point ” and a modeling method that describes the overall topology of the pipeline with extended graph structure . This paper analyzes the composition of the pipe network structure and the lack of the original modeling method, discusses the dual constraint method between topological constraints, and thus achieve a consistent topological structure of the pipe, fittings, equipment, to A rigorous mathematic definition of pipe network based on complex edges is presented, and a complete adjacent table structure of pipe network is established by extending the weight field.