| Abstract: | A prior work showed how non‐standard analysis could be used to derive hyperreal transients in transfinite electrical networks containing lumped inductors, capacitors, resistors and sources. In this work, hyperreal transients are derived for transfinite electrical networks whose parameters are distributed. In particular, explicit expressions are derived for hyperreal transients on uniform transmission lines and cables that ‘extend beyond infinity’ transfinitely. This requires a substantially altered technique as compared to the prior work. The present one uses a different kind of truncation procedure that reduces the transfinite line or cable to a conventionally infinite one and then expands the latter in steps to ‘fill out’ the transfinite line or cable. Copyright © 2003 John Wiley & Sons, Ltd. |
