large wind turbine

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Posted by admin | Posted in Green Energy | Posted on 18-07-2009

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large wind turbine
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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