Nameplate capacity is not used to report the capacity of wind farms, the numbers they report are already scaled down by the capacity factor. If a wind farm installs 2500 8MW turbines running at 40% CF it reports it's capacity as 8GW, not 20GW. When you numbers for installed wind capacity it's NOT the peak capacity it's the typical output so you would never see that 4GW number
Remember I mentioned about the big freeze in 2010? There was very little wind for a prolonged period, and aside from the heaviest snow I have ever seen in Hull, temperatures were really low. Demand was at its highest obviously, and wind power capacity in 2010 was 5421MW.
https://www.bbc.co.uk/blogs/paulhudson/2011/01/coal-takes-the-strainagain.shtml
https://assets.publishing.service.g...875384/Wind_powered_electricity_in_the_UK.pdf
The output on the 21st Dec 2010 from wind was 20MW (probably average over the 24hrs).
In reality, I don't believe that reported capacity accounts for the capacity factor, as the pdf above states capacity, but also generation. (see also the wiki below).
Its still looks bad though in 2010. Scaling that up, to 2023, where we have 28GW of installed capacity (this won't be factored, but total capacity). If we had those conditions today, it would theoretically produce about only 103MW, at a time when demand is highest.
https://en.wikipedia.org/wiki/Wind_power_in_the_United_Kingdom
We would need to import from Europe, and there is no guarantee they would be in any better condition.
Now imagine how much excess capacity you would need to meet peak demand in such conditions. It would have to be scaled up by hundreds times to meet demand. This extreme case shows why it would be so expensive.
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