65 Gwatts seems low for the amount of power needed
Intuitively, I'd be inclined to agree, but if one looks at the various figures available on-line (all of which are very similar), it would seem that 65GW is not far off double the actual total demand for electricity in recent times.
There are about 25 million homes in the UK 65,000,000,000 watts (65 GWatts) divided by 25,000,000 gives an average of 2600 watts per home. But that does not take into account the power used for industrial and other non residential purposes.
All true - but, as I've said, all available figures seem to suggest that average total (residential + all other) demand is generally no more than about 30 GW.
I realise that you are presumably talking about 'peak' demand, but if a home used anything like an
average of 2,600 W (over 24h), their electricity bills would be astronomical - an average of 2,600 W continuous would at, say, 16p/kWh) cost around £3,644 per year. The average domestic electricity usage in 2017 was around 3,700 kWh/year, equating to an average consumption of about 420W (and about £592 p.a. at 16p/kWh).
The UK's
total (domestic plus everything else) annual electricity consumption in 2017 is said to have been 348 tWh, equivalent to an average consumption of about 39.7 GW.
The official government figure are somewhat lower than these, and require a bit of arithmetic, since usage is expressed in units of ktoe (kilotonnes of oil equivalent), 1 ktoe being about 11.63 GWh. Reading from the Chart 1.06 of page 9 of the summary for 2017
(click here) , it seems that the total UK electricity consumption in 2017 was around 20,000 ktoe., which equates to about 233 TWh/year, an average of about 26.5 GW.
Department for Business, Energy and Industrial Strategy (BEIS) .... UK ENERGY IN BRIEF 2018
Those figures for electricity generation capacity are amazingly high (about 3 times) in relation to what appears to be current usage/demand! In particular, the 40.6 GW of 'renewable' generation capacity in 2017 would have been, alone, numerically enough to service the entire UK demand on nearly all days in 2018! [I say 'numerically', since there is obviously considerable variability in 'renewables', particularly in that solar generation is only possible during daylight hours!]
Kind Regards, John