Posted by admin | Posted in Green Energy | Posted on 18-07-2009
Tags: diy, energy, large wind turbine cost, large wind turbine drivetrain testing facility, large wind turbine generators, large wind turbine manufacturers, large wind turbines, technology, turbine, wind
Wind turbines Power output?
The large wind turbines around europe and the uk seem to revolve about 12 to 15 rpm . I am curious to know what sort of power they are generating at that speed . Is it possible to calculate in horse power which is easy to relate to.
An equation for wind power output is here:
Power = 0.5 x Swept Area x Air Density x Velocity3
Where v = velocity of wind.
w (angular velocity) = r x v (where r is length of blade, v is velocity, x is vector cross product).
There will be some scaling factor, but you can ignore all of this in a clever way, you know that the power output is proportional to the velocity and therefore hte angular velocity cubed.
Try and find the maximum rpm and maximum power output of a wind turbine, then use A * rpm^3 = power output
Sub in maximum rpm and maximum power output to find your constant A.
Then use that constanat with the observed rpm to calculate the power output at 12-15rpm.
If you’re interested in average power output, that is called ‘capacity factor’ and you can google it. The accepted average for wind farms is about 30%, in recent UK onshore wind farms it has been about 27%, offshore wind is expected to be 35-40%.
This is its average percentage of its maximum output. The average wind turbine being built today is either 2, 2.3, 3 or 3.6MW. The average power output of a 2MW turbine is therefore about 2*0.3 = 0.6MW.
REpower and others are releasing 5MW turbines by 2011-2012 and offshore expects 35-40% capacity factor, so you’d get up to 5*0.4 = 2MW from those.
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