What square of land area of wind turbines would be needed in reasonable sites in the UK to in one year generate all UKs power demand?

Data

A 5 MW turbine rotor diameter is 126m ( from the Repower website http://www.repower.de/index.php?id=12&L=1 )

According to Martin Alder, a wind farm owner and developer:

Across wind turbine spacing = 3 x dia (Assume tower to tower)

Down wind turbine spacing = 5 x dia

According to Colin Palmer, of Wind Prospect, a leading wind farm developer, load factors of 30 – 35% onshore, and 40% offshore are readilly achievalbe.

So assume 33%.

Calculation

Take a 70 mile by 70 mile square. This equals 112 km by 112 km

So downwind, turbine spacing (tower to tower) will be 126 x 3 = 378m. Thus in 70 miles / 112 km we can accommodate (112 x 1000 / 378 ) +1 = 297.3 towers (allowing half blade length to protrude out of area at edges).

Similarly, cross wind, we need 5 x 126 = 630 m. Thus in 70 miles / 112 km we can accommodate (112 x 1000 /630) +1 = 178.8 towers (again allowing half blade length to protrude out of area at edges).

Thus a 70 mile by 70 mile square can accommodate 297.3 x 178.8 = 53,157 turbines..

At 5 MW each, these will generate at peak 265.7 GW.

Assuming reasonable sites and a 1/3 , 33% load factor, this will generate on average 79.73 GW.

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