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Analysis of Multiconductor Transmission Lines, 2nd Edition by Clayton R. Paul

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8

TIME-DOMAIN ANALYSIS OF TWO-CONDUCTOR LINES

The previous two chapters dealt with the solution of the transmission-line equations in the frequency domain, that is, for the case of sinusoidal steady-state excitation of the line. That is, the sources are sinusoids at a single frequency and are assumed to have been applied for a sufficiently long time such that all transients have decayed to zero leaving only the steady-state solution. In this and the following chapter, we will examine the solution of the transmission-line equations for sources that have any general time variation. This will include both the transient and the steady-state components of the solution and represents the solution in the time domain. Again, there will be striking parallels between the two-conductor solution methods given in this chapter and those for MTLs given in the following chapter.

We have seen in the previous chapters that incorporating line losses into the solution of the transmission-line equations is a very straightforward process in the frequency domain. We will see in this and the following chapter that the time-domain solution of the transmission-line equations for a lossless line is also a very simple and straightforward computational process for either two-conductor lines or multiconductor transmission lines (MTLs)! Line losses, however, introduce substantial complications in the solution of the transmission-line equations in the time domain. In addition to the low-frequency dc resistance ...

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