Abstract
Pneumatic transmission line is widely used for both measurement and control systems, so it is necessary to calculate the dynamic response of the line. The Brown's model of the transmission line gives a sufficiently accurate response, but it needs a troublesome calculation including the Bessel function.
In this study a new reduced form of a pneumatic transmission line has been obtained. This reduced model is first or second order time and time delay system, and can be calculated quite easily. This model expresses precisely the gain and the phase shift information at the first low oscillatory frequency of the transmission line.
In the experiments, step response and frequency response test has been conducted, and the model shows a satisfactory agreement with the exact or experimental data of a pneumatic transmission line.