蒸汽管道的传递函数及工程应用

Transfer function and its engineering application for steam pipe

研究了蒸汽管道的传递函数求解方法。建立了描述蒸汽管道动态响应的分布参数微分方程，采用新方法，经拉普拉斯变换将系统由时域转变到频域，进而直接求解和获得描述其动态响应的传递函数。给出了一般解法和它们的近似解。当用于工程控制系统时，可以获得系统的开环和闭环传递函数，经仿真计算可进而求得动态响应曲线。

This paper presents a new method of describing a component with distributed parameters, such as steam pipelines, by use of transfer function. For steam pipelines, the partial differential equations describing their dynamic responses are quite complicated. With the new method proposed, the system is transformed from time domain to the frequency domin by a Laplace transformation, and the resultant Bessel equations are directly solved to obtain the transfer functions describing the dynamic responses of the plant. This paper gives two kinds of solution and their approximative formula. When it is applied to an engineering system, the open loop transfer function and closed loop transfer function of a control system will be obtained. Further more, a dynamic response curve is given by simulation.