Tip speed ratio

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The tip speed ratio λ (lambda) or TSR for wind turbines is the ratio between the rotational speed of the tip of a blade and the actual velocity of the wind. If the velocity of the tip is exactly the same as the wind speed the tip speed ratio is 1. The tip speed ratio is related to efficiency, with the optimum varying with blade design.[1] Higher tip speeds result in higher noise levels and require stronger blades due to large centrifugal forces.

\mbox{Tip speed ratio} = \frac{\mbox{Tip speed of blade}}{\mbox{Wind speed}}

The tip speed of the blade can be calculated as Ω times R, where Ω is the rotor rotational speed in radians/second, and R is the rotor radius in meters. Therefore we can also write:

\mbox{Tip speed ratio} = \frac{\Omega\text{R}}{\mbox{Wind speed}}

when Wind Speed is specified in meters/second.

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