关键词: 天然气, 枝状管网, 联立模型, 模拟计算

Abstract: This paper presents and solves a realistic transient flow model of a complex branch-like pipeline network system consisting of mainline model, branch model, and connecting model by using system analysis method.The mathematical models of the mainline and branches are non-linear partial differential equation systems.In some conditions, the equation system can be linearized and then solved by analytical methods.The connecting model is a volterra integral equation system of the first kind based on the relation between the mainline and branches.Usually the solution of integral equation of the first kind is not stationary.It must be solved by particular methods.Tikhonov regularization method is used Here.Computer programs are compiled in FORTRAN-77 (IBM-FORTRAN).Satisfactory results are obtained through simulation of a local natural gas transmission network in Sichuan.Another example with boundary conditions of continuous functions is given with satisfactory solution.