Just for perspective winter peak demand is 60GW normally. Assume a 4 hour window between 4pm and 8pm in December where no solar power is being generated. We have a low over the UK so wind output is down to 1GW or less, which could happen 3 times a winter for 2 to 3 days according to a 2011 John Muir Trust assessment on wind power.
So 60 GW = 60,000 MW = 60,000,000 kW
For a 4 hour period you would need 240,000,000 kWh assuming no solar or wind supply is available.
At a price of £600 per kWh that works out at £144,000,000,000 at current prices to provide 4 hours of peak demand.
As proof against current demand for a 3 day period mid winter, which is not an unfair requirement in my mind the storage capacity is going to have to be enormous if we only had wind or solar power.