There is allot of discussion about wind turbines for use in heating lately. I am happy about this
because that is exactly what I am doing. Before I started the project I thought that some sort
of MPPT control would be a great benefit but now I am not so sure. The following graphs are
the results of my calculations and I am making allot of assumptions here. I have not yet completed
my gennie and in the design process I found that I had to "guess" about allot of things when it
comes to the behavior of blades and wind. The graphs on the right hand side in the following pics
are my guess for the power curves for 5.5 meter blades with a design TSR of 7.
Based on my limited research (mostly this board) I assumed that the nonloaded TSR would be
double that of the design TSR as that seems to be what most people have found. In order
that the calculations would be easy I gave the power curves the exact shape of a parabola.
From all of the power curves I have ever seen (not many) this approximation seems reasonable
to me. Shown on the power curve graphs are also the generator power curves. The red line is
the power in the stator, the black line is the power in the load and the other line is the sum or
the 2. The first graph is for a load of 24.5 ohms on each phase. The second graph is for a load
or 44 ohms on each phase.
Now the left hand graphs show the actual power output by taking the intersection of the gennie total
power output and the power available at the blades. Again the red line is the power in the stator,
The black line is the power in the load.
Since I assumed a parabola for the power curves it was not too
difficult to set up an equation to give the resistance value for a particular power output. Doing a bit
of calculus - taking the derivative and setting to zero I was able to calculate the load resistance
that maximized the power output for each wind velocity. That resistance value is the curved black
line that opens to the right. So for example in a 28 mph wind the best resistance value is around
20 ohms and in a 12mph wind the best load is just above 40 ohms.
The bright green line is the power that would be produced in the load when using the best resistance value.
i.e. that would be the power in the load if the ideal MPPT circuit was used. The lighter green line is
the power that would be used in the stator using the best load.
The first set of graphs was for the situation when a 24.5 ohm load was used. This is the ideal load
for the higher wind speed. The second set of graphs assumed a 44 ohm load this is the best
resistance value at around 12 mph wind.
I was very surprised to see that by picking a load that maximized the output power at 28 mph the
output power was very close to being maximized at all lower wind speeds as well. It seems that by
lowering the resistance the speed of the turbine is reduced bringing it closer to the ideal load but
more than 95% of the extra load on the blades comes from within the stator.
You can see from the first graph that the green line (MPPT output) is almost an exact copy ofthe black line (fixed load maximized for 28mph).
To me this says that MPPT is not worth the effort.
What do you think?


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