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Learning Hub > Wind Energy - Wind power generation calculation with Example

The power(i.e. energy per second) in the wind hitting a wind turbinewith a certain swept area is

Power = 0.5 x Swept Area x Air Density x Velocity3

where:
- Poweris given in Watts (i.e. joules/second),

- the Swept areain square metres,

- the Air densityin kilograms per cubic metre,  

- the Velocityin metresper second.


Example

The world’s largest wind turbine generator  has a rotor blade diameter of 126 metresand so the rotors sweep an area of ∏ x (diameter/2)2= 12470 m2!

As this is an offshore wind turbine, we know it is situated at sea-level and so we know the air density is 1.23 kg/m3.


The turbine is rated at 5MW in 30mph (14m/s) winds, and so putting in the known values we get:

Wind Power = 0.5 x 12,470 x 1.23 x (14 x 14 x 14)

which gives us a wind power of around 21,000,000 Watts.


Why is the power of the wind (21MW) so much larger than the rated power of the turbine generator (5MW)?

Because of the Beltzlimit, and inefficiencies in the system.


To read more about Beltz limit - Click Here


 

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