Title :
Transients on lossless exponential transmission lines using Allen´s method
Author :
Bouchard, Pierre ; Gagne, Real R.J. ; Lavoie, J.L.
Author_Institution :
Laval Univ., Ste-Foy, Que., Canada
Abstract :
Exact analytical expressions for the time-domain step response matrix of the lossless exponential transmission line are developed, thereby extending the range of problems for which Allen´s method can be applied for the transient analysis of networks consisting of interconnections of linear distributed elements, lumped linear and/or nonlinear elements, and arbitrary sources. An indication as to the correctness of the expressions is obtained by comparing them to published results, which also helps to give a better physical insight into the step response matrix. The response to a step input and the transient response to a sudden sinusoidal excitation are presented
Keywords :
distributed parameter networks; nonlinear network analysis; time-domain analysis; transient response; transmission line theory; Allen´s method; linear distributed elements; lossless exponential transmission lines; lumped linear; nonlinear elements; sudden sinusoidal excitation; time-domain step response matrix; transient analysis; transient response; Laplace equations; Power system transients; Propagation losses; Reflection; Scattering parameters; Time domain analysis; Transient analysis; Transmission line matrix methods; Transmission lines; Voltage;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
