Lumped Circuit Modeling of Transmission Lines

Abstract A lumped, equivalent circuit of a transmis­ sion line is developed. The model uses a particular series expansion of the trigonometric functions involved in a solution of the transmission line equa­ tions and is suitable for use in computer-aided design codes. As opposed to many of the usual lumped circuit models, it appears that one can predict, independent of loading, the frequency range over which the model pro­ vides accurate predictions. The model also requires less topological complexity than the conventional methods. Comparisons to the predictions of the transmission-line model are given.