September 2010
Intermediate to advanced
298 pages
6h 39m
English
Chapter 5
Solution of the Transmission-Line Equations for Three-Conductor Lossless Lines
In this chapter we determine a simple method for solution of the transmission-line equations for a three-conductor lossless line and the resulting crosstalk, where we neglect losses in the conductors and in the surrounding dielectric. Solution of the transmission-line equations for any lossless multiconductor line is virtually trivial, as we will see in this chapter. A SPICE (PSPICE) subcircuit model will be developed for any lossless MTL having any number of parallel conductors. Terminations (linear or nonlinear) can then be attached to that PSPICE subcircuit model, and the resulting crosstalk can be determined easily and accurately.
For three-conductor lossless transmission lines the first-order transmission-line equations that describe crosstalk between the two transmission lines are coupled and of the form
(5.1b) 
where the 
vectors of line voltages and line currents have entries that are functions of position along the line, z, and time, t:
(5.2a) 
(5.2b)
The entries in the per-unit-length ...
