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About vortex core radius and age angle

Hi david

Recently I have reviewed many papers where people have derived formulas about the variation of the radius of the vortex core with the age angle, the first of which is given in your paper, the second is used in openfast, and the third was learned from a Chinese scholar. I think these three formulas seem to look different .

I think that if I wanted to calculate the radius of the vortex core at the current time step, the final form of the formula that could be used directly to program the calculation might look like fig.2. Because the age angle is infinitely cumulative, when it is divided by omega, it represents the cumulative result after multiple time steps.

What do you think?

Thanks,

BR,

Roby

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Hi Roby,

essentially the formulas you have attached are very similar, where some use a combination of rotational speed and rotor angle and others use the time directly.

This is should yield the same result as long as the rotor speed is constant. Since typically, the rotor speed changes during operation of a wind turbine we have opted to use delta t directly for the evaluation of vortex core growth.

BR,

David

Thank you very much for your quick reply!

BR,

Roby

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