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Iron can be recycled though - in a more proven manner than Lithium. I wasn’t necessarily suggesting making it out of thin air was a viable route.There’s three articles on battery trains. One on the Hitachi trial under a TPE 802, one on Siemens‘ proposal for discontinuous electrification (both by Roger Ford), and one by Walmsley. All are worth a read, and I recommend buying the magazine (if only in the hope that the editor might buy me a pint that I think he owes me)
I won‘t spoil the read for those who have yet to see a copy. But very briefly, the two articles by Roger Ford both set out the facts about the trial (Hitachi) and proposal (Siemens). He does some rough calculations and develops numbers for battery capacity and thus range that are broadly the same as those I have been using / peddling (depending on your point of view) in this thread and many previous threads on the subject for what feels like almost a decade. Essentially, a battery train with an 80-100km ‘off juice’ range is entirely feasible. Which is just as well, as there are some in service now with many more on order (in Europe).
Ian Walmsley’s article needs to be taken with a pinch of salt, because it is written from the perspective of a rolling stock engineer. He does, helpfully, provide the cost of the battery on Alstom’s BEMUs being built for Ireland (spoiler - it’s about the same as 60 metres of OLE electrification, although he doesn‘t mention that). He also repeats his view that battery trains perform less well than straight EMUs - I dont understand why he thinks that. A BEMU can perform just as well as an EMU, it just comes down to the specification of the power rating of the battery. The traction motors are agnostic to the source of the electrons.
Finally, the articles mention the issue of current / power limitations for battery charging on the move from existing OLE or 3rd rail. Again, I don’t see what the issue is; trains will be limited to existing max current draw, and power modelling will be used on the infrastructure side to see where there are shortfalls in power capacity given the higher number of trains drawing higher power for longer. But, and getting us back on topic, that almost certainly won’t be an issue at Ashford, Ore - Eastbourne, Reading - Wokingham, Ash - Shalford, or Reigate - Gatwick. It might be an issue Hurst Green - South Croydon, but even then I’m doubtful.
Eh? Does iron ore just miraculously take itself out of the ground and present itself at the steelworks?
Standard 1.8m Pallisade fencing, installed in railway conditions, will cost on average about £200k per route km.
I really don’t know why you think 3rd rail would be cheaper in the long term on the routes in this thread subject, when its not even cheaper to start with. And also not clear what grade separation has to do with it.

On the second point, a PFI deal might be cheaper to start with, ending up more expensive in the long term. While different, investing in a more expensive infrastructure at the start would in my mind merit more rewards. 3rd rail, while having its inefficiencies, is a more proven technology than batteries.
The fencing would also protect against trespass anyway, so might as well be done.