长输气管线动态特性的解析分析及其工程应用

Analytical Solution and Engineering Application of Dynamic Response for Long Gas Pipeline

长输气管线是一个具有分布参数的调节对象。本文以贝塞尔函数级数和的形式,给出了动态特性的理论解析解。通过误差分析和简化可得到便于工程应用的曲线和图表。根据这些曲线和图表,以及管道的基本参数,管理工程的设计者可以很方便地求得不同输入和输出之间的传递函数。为了减少计算工作量,从拟合阶跃扰动的过渡过程出发得出简单的但具有足够工程使用精度的拟合方法。

The long gas pipeline is a regulating object of distributing parameter. This paper gives a theoretical and analytical solution of the dynamic response for long gas pipeline in the form of infinite series with Bessel functions. By means of error analysis, some curves and graphs are simplified for engineering applications. With these curves and graphs, the designers may obtain the transfer functions of different inputs and outputs from basic parameters of gas pipeline conveniently. In order to reduce the calculation, a simple representation of grouping nonperiodic elements on the basis of fitting step transient response is also suggested with sufficient accuracy.