Transmission Line Modelling Using Variational Method

Jari Mäkinen, Robert Piché and Asko Ellman
Tampere University of Technology

Tampere University of Technology Mathematics Report 72, 25pp.


The modal method for time-domain modelling of pressure transients in fluid transmission lines is shown to be equivalent to a variational method. Attenuation factors, similar to the "windows" used in spectral analysis, are used to attenuate Gibbs phenomenon oscillations. Explicit formulas are given for various end conditions. The method is also applied to nonlinear damping models.

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