Modern batteries as used in electric road vehicles can be charged very quickly, 10 minutes for a 50% charge has been quoted.
In the illustrative example above, I would propose a battery that can supply 500Kw for 10 minutes and be 50% discharged in so doing.
To replace this charge would take about 10 minutes with the train stopped and both engines charging the battery.
Whilst few schedules have 10 minute station stops except at the ends of the route, it must also be remembered that slow charging would be achieved whenever running at less than line speed on level track, and whilst decelerating prior to a stop, and when running down a gradient.
As an example, consider approaching and then leaving Totness. At the summit approaching Totness, the battery would be about 80% full. Descending into the station, the battery would charge since little if any traction power would be needed downhill, this might charge the battery from 80% to 90% (estimate 2 minutes downhill running, charging battery at 5% per minute) A station stop of 2 minutes would fully charge the battery. Ascending the incline away from Totness might take 8 minutes of full battery power, during which the battery charge would decline from 100% to 60% (discharge at 5% a minute)
On arrival at Penzance or other terminus, the driver would shut down one engine if the lay over was to exceed perhaps 20 minutes, since the single engine would still fully charge the battery before departure. Preferably the running engine would be the one in, or nearest to, the open air so as to minimise nuisance.
Such a unit would not be the optimum choice for a route with prolonged and fast inclines as the battery would be become discharged and the performance limited to what could be achieved with only the rather limited diesel power.
For a route with many stops, many short inclines, or a very variable line speed, it would be ideal. Perhaps 2 engines to purchase and maintain instead of 4, less fuel used, and less pollution.
For example for in the south west, the unit would have to be able to do say 100MPH and the engines would be specified to just achieve that speed. No extra engine power for inclines or acceleration need be supplied, this coming from the batteries.