Therefore if the entire rest of the network was electrified, it would represent an extra 33% power required assuming a like for like service frequency / length / speed. Being bold, let’s assume that electrification delivers longer / faster / more frequent trains, so we actually need an extra 50%. That’s equivalent to an average demand of 250MW over a year, peaking at around 400MW.
In context, the government recently agreed deals for three new wind farms, each with a capacity of around 1,200MW. Hinckley Point and the proposed Sizewell C are each 3,200MW. Drax is almost 4,000MW.
Therefore the answer is “as little as 1/10th of a power station”
Some useful data from the ORR here; it’s a year and a half old, and the amount o power used for electric trains will have risen notably in that time due to the roll out of the new GW fleet and further electrification in the Midlands, NW and Scotland.
https://dataportal.orr.gov.uk/media/1114/rail-infrastructure-assets-environmental-2017-18.pdf