The original question here was cost of electrification, 25Kv vs third rail. And the answer, actually as all engineers know, is there is no comparison. 3rd rail needs little or no civils, the power feeder arrangements are no more costly, the actual 3rd rail installation readily goes in over a weekend (I actually saw this happen, on Stratford to North Woolwich), etc.
Before we start saying about the cost of lineside substations, that North Woolwich line was just installed, switched on, done. Unlike Crossrail also at Stratford, installed in a huge lengthy operation, finally switched on, blew every fuse imaginable, and delayed the whole project by nine months while all the ruined items were reordered …
There are still comments on obscure abstract principles rather than reality. Discussion above about extended loops for freight services between Winchester and Micheldever, whether these should be an isolated little bit of 25Kv on a third rail system. Does nobody notice that all the intermodal and other freights out of Southampton it is to facilitate are handled by diesels? Does it need electrification at all?