Time-domain response of multiconductor transmission lines

Abstract

Evaluation of the time-domain response of multiconductor transmission lines is of great importance in the analysis of the crosstalk in fast digital circuit interconnections, as well as in the analysis of power lines. Several techniques for the computation of the line response, starting from the known circuit-theory parameters, are presented and evaluated. These methods are: time-stepping solution of the telegrapher equations, modal analysis in the time domain, model analysis in the frequency domain, and a convolution technique which uses line Green's functions. The last method can treat the most general case of lossy transmission lines with nonlinear terminal networks. Numerical and experimental results are presented to illustrate these techniques and to give insight into the crosstalk problems in fast digital circuits.

On the Success of Electromagnetic Analytical Approaches to Full Time-Domain Formulation of Skin Effect Phenomena

“…However, most publications have been focused on frequency-domain developments and associated computational techniques [8][9][10][11][12][13][14][15]. Finite difference time domain methods (FDTD), numerical inversion of Laplace transform, and circuital approaches, are usually employed to incorporate skin effect phenomena in time-domain transmission-line analysis [16][17][18][19][20][21][22][23][24]. Full time-domain analyses of skin effect in cylindrical conductors have been attempted in [10,25].…”

Computation of Very Fast Transient Overvoltages in Transformer Windings

“…A detailed approach of the general application of telegraphic equations for multiconductor transmission lines can be found in [8]. But this method does not take into account the frequency dependency of the transmission line parameters.…”

System Moedeling of High-Speed Digital Printed Circuit Board Using Spice

“…The parameters required to model the line are the RLCG values and the physical length of the line. Single lossy transmission line is supported in common SPICE simulators [5,6] using impulse response method based on convolution of the time domain impulse response and the excitation of the transmission line [11].…”

“…The networks are linked together to form a complete system of equivalent circuit in SPICE format. Various methods have been developed by many authors [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] for modeling a certain aspect of the digital PCB system. Based on their work, the authors consolidate the methods and propose a structural approach to derive a system level equivalent circuit model for a digital PCB system.…”