输气管线的分布参数数学模型及工程应用

本文研究了用传递函数描述长距离输气管线这种分布参数调节对象的布法.长距离输气管线输送的是可压缩的天然气,表征其动态特性的偏微分方程组较复杂.本文所用方法是将其偏微分方程组经拉普拉斯变换,由时域变为频域,直接求解以管线长度为变量的线性变系数微分方程--贝塞尔方程,从而得到描述这种分布参数调节对象动态特性的传递函数.将此传递函数经数学处理,得到工程实用的简洁形式,并给出其频率特性曲线和动态响应过程.

Modelling of Distributive Parameters for Long Gas Pipelines and its Engineering Application

This paper presents a new method that deals with a regulation object with distributive parameters, such as a long gas pipeline, by use of transfer functions. The long gas pipelines supply compressible natural gas, therefore, the differential equations describing their dynamic responses are quite complicated. With the new method, the distributive parameters are transformed from time to frequency domain by Laplace transformation, then the resulted differential equations-Bessel equations are directly resolved to obtain transfer functions describing the dynamic responses of a regulated object with distributive parameters. The transfer functions obtained are adapted into simple forms convenient for engineering applications, and the frequency characteristics and dynamic response of the object are worked out.