- #1
Donald.
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Hello everyone, I've found these forums extremely helpful in the past and I've decided to create an account in order to answer a question that has been going in my mind and I can't seem to find the answer.
The power a wind turbine can generate can be derived from the equation:
[itex]Power = \frac{1}{2}\rho A v^3[/itex] and the area ([itex]A[/itex]) of the turbine can be calculated using the area of a circle equation: [itex]A = \pi r^2[/itex].
This equation would give you the theoretical maximum power obtained by the turbine, however all turbine have a center from which the blades are attached. In a 'real life' situation would one use the whole circle or the 'doughnut like' shape area to calculate the maximum power that can be obtained?
The doughnut area could be calculated using the formula:
[itex]A = \pi r_{total}^2 - \pi r_{center}^2[/itex]
Thank you,
Donald.
[itex]A = \pi (r_{total}^2 - r_{center}^2)[/itex]
The power a wind turbine can generate can be derived from the equation:
[itex]Power = \frac{1}{2}\rho A v^3[/itex] and the area ([itex]A[/itex]) of the turbine can be calculated using the area of a circle equation: [itex]A = \pi r^2[/itex].
This equation would give you the theoretical maximum power obtained by the turbine, however all turbine have a center from which the blades are attached. In a 'real life' situation would one use the whole circle or the 'doughnut like' shape area to calculate the maximum power that can be obtained?
The doughnut area could be calculated using the formula:
[itex]A = \pi r_{total}^2 - \pi r_{center}^2[/itex]
Thank you,
Donald.
[itex]A = \pi (r_{total}^2 - r_{center}^2)[/itex]