Numerical Simulation of Nonuniform Multiconductor Transmission Lines with HF Losses in Matlab

Numerical Simulation of Nonuniform Multiconductor Transmission Lines with HF Losses in Matlab

Paper in proceedings (conference paper)

The paper describes two approaches to a numerical simulation of waves propagation on multiconductor transmission lines (MTL) in case the additional losses at high frequencies (HF), like is a skin effect, are to be taken into account. Such numerical simulations can be required at solving signal integrity issues in current high-speed electronic systems where the interconnect structures, often modelled as general MTLs, play an important role. Both the Laplace-domain and time-domain approaches are discussed, corresponding to telegraph equations with a half-order derivative term. A simple example is simulated in Matlab, based on Laplace domain and a numerical inverse Laplace transform (NILT). Basic starting points for a direct time-domain solution are also briefly sketched, as well as utilization of a modified nodal analysis (MNA) method enabling to cover the MTL systems with more complex load circuits.

The paper describes two approaches to a numerical simulation of waves propagation on multiconductor transmission lines (MTL) in case the additional losses at high frequencies (HF), like is a skin effect, are to be taken into account. Such numerical simulations can be required at solving signal integrity issues in current high-speed electronic systems where the interconnect structures, often modelled as general MTLs, play an important role. Both the Laplace-domain and time-domain approaches are discussed, corresponding to telegraph equations with a half-order derivative term. A simple example is simulated in Matlab, based on Laplace domain and a numerical inverse Laplace transform (NILT). Basic starting points for a direct time-domain solution are also briefly sketched, as well as utilization of a modified nodal analysis (MNA) method enabling to cover the MTL systems with more complex load circuits.

numerical simulation; multiconductor transmission line; skin effect; Laplace transform; fractional telegraph equation

numerical simulation; multiconductor transmission line; skin effect; Laplace transform; fractional telegraph equation

BRANČÍK, L.; AL-ZUBAIDI R-SMITH, N.; KARTCI, A.

2019

19.04.2018

IEEE

Prague, Czech Republic

978-1-5386-2485-2

2018 28th International Conference Radioelektronika

1

5

5

http://radioelektronika.fel.cvut.cz/

08376361