It's only 30 miles or so from Oxford to Bletchley, and only 15 from Bletchley to Bedford, so any battery-electric solution (for an OXF-MKC service) isn't going to atually need wires except at Oxford station. Which hopefully will be coming eventually as part of Didcot-Oxford electrification.
Bedford to the ECML at Tempsford is 10 miles, and Tempsford to Shelford is 20, so no great distances there either. All in all a great route for batterification.
Speculating now, I'd imagine OHLE at:
- Oxford station feeding from Didcot
- Bletchley high level, fed from the WCML and extending along the Bletchely flyover to at least the first overbridge.
- Electrification of Bedford to Tempsford, fed from both the MML and from ECML.
- Long runouts at Shelford, fed from the Royston line.
They might have to boost some grid feeders, depending on current capacity. But with batteries and smart scheduling it should be possible to programme the recharging profiles to take the greatest current at places where there is already capacity in the system.
If modelling shows it is neeed, then the Oxford - Bletchley gap could be shortened by extending at whichever end was cheaper.
Hopefully EWR could be electrified at very low cost. Was the new Bletchley flyover built with places where OHLE masts can simply be bolted on? And is the EWR route west of there is suitable for overnight installation of OHLE using the high output HOPS electrification train?