The charging issue is most specific to IPEMUs which don't have much/any time charging on 25kV during other parts of their journey. If they can do battery charging whilst running under the wires, use that stored energy to cover the section of track which isn't electrified, and get back to the OLE either elsewhere on the journey or on the return working, charging is much less of an issue, or ceases to be an issue at all. It's those out and back workings where there's only a short distance under OLE that's the real problem.
Exactly. Taking the Uckfield line as an oft quoted (D.C.) example, a BEMU on a typical cycle would have 1h20 or so on the juice (of which 21 mins is stationary) and 1h35 off the juice (of which, by coincidence, 21 mins is stationary). I forget how much ‘net’ juice the modelling said it would need to get a 4 car to Uckfield and back, including auxiliaries, but from memory it was in the 500kWh ‘ball park’ - all the stops helped with the recharging through regen. The question then is could the unit get c500kWh back from the third rail Hurst Green - London Bridge - Hurst Green. Two ways of looking at it:
a) c375kW power draw (500Amps), on average over the 1h20 ‘on juice’ time, over and above what is needed for traction and auxiliaries
b) c400kWh drawn at 1.2MW for the 21 minutes spent stationary on the juice, with the remaining c100kWh captured through regenerating for the station stops / junctions on the juice and/or by drawing a higher than normal level of power when coasting or at less than full power (which is most of the time). A 4 car Class 377 regenerates something like 15kWh when braking from 70mph to a stop.
So, the pure energy in / out ‘account’ works in this example, and a 1MWh battery is more than enough. The two issues are, firstly, the capability of the power supply on the existing electrified network to cope with the additional power draw (which, in any event, would have to be sorted if pure electrics were running), and secondly, the capability of the train / battery system to be able to manage all these new flows of high power within it.
In summary, Battery hybrid EMUs will work best on routes where they branch off, or extend from, an already electrified line, and spend (roughly) as much time on the juice as off it. There are various trade offs in terms of speed, stopping patterns and distance. Where the off juice section is low speed and frequent stopping, this works best.