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In operation, the force
of the wind against the turbine will want to turn it
around the mast axis, however the tail, which is sitting
against the tail stop and at 90 degrees to the turbine
face, will want to stay down wind, so it keeps the turbine
facing the wind. But as the wind picks up, the force
against the turbine face increases until it is high
enough to lift the tail off the tail stop.
Light winds, no furling.
The tail weight is greater than
the wind force against the turbine. Tail is rested
against tail stop and pointed directly out the
back.
Note: The insert picture is what you would see if you looked directly at the turbine
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Medium winds, starting to furl
The wind force against the turbine
was greater than the weight of the tail, so the
tail is lifted. This turns the turbine out of
the wind until the force against the turbine is
again equal to the tail weight. The furl system
has found a balance of wind force and tail weight.
Remember, the tail will always point down wind.
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Strong winds, almost fully
furled
The wind force is so great that
the tail is almost at the same angle as the turbine.
So the furling is a balance between
the tail weight and turbine thrust.
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We can use some maths to calculate how
a tail will furl, but first we need some measurements,
and all measurements are in metric ( Conversion to imperial
tables here ).
- Turbine Diameter in meters
- Turbine offset from the mast axis
in meters
- Tail tip weight in kg
- Tail length in meters
- Wind Speed in meters per second
You can measure the tail tip weight
by placing the pivot end of the tail on a fulcrum (
block of wood ) and the tail end on a set of scales.
First we need to work out how much torque
is trying to turn the windmill around the mast axis.
The turbine thrust or force can be worked
out with -
Turbine
Thrust = Diameter2 * WindSpeed2
/ 24
Turbine Thrust = 2m2 * 20m2
/ 24 = 66.6kg
The turbine moment ( torque ) is -
Turbine
Moment ( kgM ) = Turbine Thrust x Turbine Offset
Say our turbine has a diameter of 2
meters, and we want it to start fuling in winds above
20 meters per second ( 72kmh ). Our mast offset is 0.1
meters ( 100mm ).
Turbine Moment = 66.6kg * 0.1m = 6.66kgM
So we need a tail moment of 6.66kgM
to balance the turbine moment.
Tail
Moment = Tail Length * Furl resistance
and
Furl
resistance = Tail Weight * Sin ( Pivot angle in degrees)
* Sin 45o
Furl resistance = 20Kg * Sin20o * Sin 45o = 4.83 Kg
then
Tail
Length = Tail Moment / Furl resistance
Tail Length = 6.66KgM/ 4.83Kg = 1.378M
So for our windmill to start furling
at 72kmh, it needs a tail pivot angle of 200,
a tail lenght of 1.378m and weight of 20kg.
Calculations:
Turbine
Thrust = Diameter2 * WindSpeed2
/ 24
Turbine Moment = Turbine thrust x Turbine
offset
Tail pivot angle = Sin-1 ( Turbine
Moment / Tail Length / Sin 45o / Tail weight
)
Tail Length = Turbine Moment / Tail Weight
/ Sin ( Pivot angle in degrees ) / Sin 45o
Tail Weight = Turbine Moment / Length of
tail / Sin ( Pivot angle in degrees ) / Sin 45o
Notes:
As well as the tail stop where the tail
is pointing straight out the back, add a tail stop at
the other end of the tails travel, this will stop the
tail in extreme conditions going around so far that
it hits the turbine blades. It does happen and has ruined
many a good set of windmill blades.
A big thanks goes to Ed ( http://www.windstuffnow.com/
) for helping with the information above, and also Gill
for his additions.
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