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Don't forget the R1 insulative effect of the still air around the conductor. I can believe the burst vs continuous argument, even if we move to a very narrow pulse, say 0.5s, that's still only about 1MW which could be provided by the existing infrastructure.
You don't want nice strong impedances, especially with AC train control systems nearby. *Lunatic*, n. One whose delusions are out of fashion.
As the cable impedance depends on frequency, increasing with frequency, even a low high frequency current results in heating the cable, without having to apply a high voltage.
I remember someone talking about that but I can't recall if it was applied on train catenaries.
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