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
- the Swept areain square metres,
- the Air densityin kilograms per cubic metre,
- the Velocityin metresper second.
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.
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.
Because of the Beltzlimit, and inefficiencies in the system.