The N-2 contingent could be provided by a 'giant extension lead' if really needed, although surely Hull-Gilberdyke would only need 1 Feeder station with 2 incoming supplies given the amount of power it would actually need to supply?
Indeed, you probably only need 1 grid supply for the actual requisite power, 1 fs 2gsp is for N-1 contingency. But as you say, the supplies need to be independent, exactly what the level of independence is on the grid side I'm not sure. Probably adjacent feeder stations need to be in different transmission grid areas especially if taken from the 132kV network directly. I'm not sure exactly how the requirement of separation changes where feeds are drawn from lower-down networks.
I did once try to chart out the interdependencies between the upstream infrastructure for Tyne & Wear metro substations (which all draw from local secondary distribution lines (11kV)). And I found that all of them corresponded to a different Primary substation, but those Primaries were often themselves connected to similar Transmission substations. This is somewhat complicated by the fact that, in the Newcastle area, it's common for transmission voltage is stepped down straight to the Primary distribution level of 33kV or 66kV skipping over sub-transmission layer (132kV).
There's a 400KV line crossing the railway not too far east of Gilberdyke (
https://openinframap.org/#12.09/53.73897/-0.62457) which would be the obvious point for a feeder station, does N-2 need to come from independent supplies or could you use 2 separate sets of equipment?
Equally, you could just decide that in the unlikely event of the Feeder Station going offline, Short-term operational measures will be taken to reduce the risk of a train getting stranded (cancellations and RRBs, load-shedding, slow speed, etc).
I'd guess that transmission grid source for such a line would be overkill, and so unnecessarily expensive. The entire MML from Farringdon to Sheffield was planned to be fed off 10x TNO connections amongst 5x feeder stations. Hull - Gilberdike is 17 miles and Gilberdike - Hambleton Jnc is about another 17 miles (interesting coincidence).
17 miles of feeder cable between Hambleton and Gilberdike is definitely do-able, it's about 5km longer than longest 25kV feeder cable currently around (Thingley Jnc - Wooton Basset Jnc). But it's not exactly cheap and easy (even though Southern Region have been doing such things for years without any complaint).
I would probably go for a 2x SFC feeder drawn off the 33kV switchboard of a nearby 132/33kV substation, similar to Potteric Carr in Doncaster: perhaps the 132kV sites at
Hull South or
Hull East.
Another way would be not to have an extension lead, and instead do 2 fs with 4 gsp but from the local 11kV grid with the Siemens equipment.
But this is all random guesswork tbh.