You used to also get splits at Southampton, which could cut down on the number of units required - with the rear unit sent back to London.
One example from December 2011 involved the 0740 down service splitting at Southampton Central, with the rear unit attached to the 1030 up service.
Yes, I think Southampton is the more common split point now, although the section to Bournemouth can deliver enough power for ten, as it was electrified to take REP/TC formations (a REP, with two power cars, had the same power as two 442s - indeed the very same motors, rercovered from the REPs)
This would be correct if the additional coaches or a second unit weighed 0. However, since this is not the case and the recuperation proportion remains the same regardless of the number of units, the energy expenditure roughly doubles when the number of units doubles.
I did say
most of the power is used in overcoming drag. Mass is most relevant whenn accelerating a train, or lifting it against gravity, but at constant speed on level track, drag is more significant)
And there was one famous incident where a Peterborough train did not join properly and came apart at high speed near New Southgate.
I'vev heard of that happen with a pair of 117s. Only connected by the jumper cables. The rear unit must have had slightly more power (and better brakes) as the train didn't come apart until it braked for the first stop, and ripped out the jumper connections.
Of course some trains go to depots after peak, but there is still an off-peak timetable to satisfy.
This is, or at least used to be, done. two 2x4 peak hour trains arrive at the terminus - one goes empty to depot for routime naintenance, the other is split into two four car trains to form the return workings of both incoming services (and vice versa in the afternoon)
It’s probably also fair to say that splitting units is less prone to failure than joining them, so late-night working such as the example
@Bletchleyite gives is more likely than the equivalent joining move early in the morning to allow the first trains to be tailored to demand.
I remember reading that Southern’s inter-peak policy was to leave suburban sets in their peak formations all day to protect the evening peak from fail-to-couple delays etc whereas South West Trains would routinely destrengthen between the peaks, and the delay statistics were noticeably different for the two operators. (I think it was that way round!)
I have also seen trains that are normally 4 car off peak run as 8 car in wintry conditions, to avoid coupling problems in the evening peak (also gives more shoes in contact with the rails so a better chance some of them can overcome the ice)
(Another thing I niticed was that REP/TC formations ran with the REP in the middle, instead of at the London end, in poor weather, to give the REP's better traction whichever way it was going. The summer formation always had the REP at the London end so that, when demand required, both TCs could go to Weymouth, but in the winter only one would do so anyway - the ETH index of a 33/1 wouldn't cope with both.