The coefficient of performance of wind turbines is often expressed by the empirical formula


a. Plot the coefficient of performance with respect to the TSR for angle of attack equal to 0°, 10°, 20°, and 30°.

Here is the plot of the coefficient of performance (Cp) versus the Tip-Speed Ratio (TSR) for different angles of attack (0°, 10°, 20°, and 30°). As expected, the Cp reaches a peak for each curve and then decreases as the TSR increases. The maximum performance shifts left (to lower TSR values) as the angle of attack increases.

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Here are 5 related questions to consider:
1. How does the angle of attack influence the optimal TSR in wind turbines?
2. What are the typical values for the maximum coefficient of performance in real wind turbines?
3. How does the blade shape affect the coefficient of performance?
4. What happens to the wind turbine's efficiency if the TSR is too low or too high?
5. Can Cp exceed the Betz limit of 0.59 for any wind turbine?

**Tip:** The optimal TSR depends on the blade design, the number of blades, and the wind speed; choosing the right TSR is critical for maximizing turbine efficiency.

The coefficient of performance of wind turbines is often expressed by the empirical formula. Plot the coefficient of performance with respect to the TSR for angle of attack equal to 0°, 10°, 20°, and 30°.

Explore how the coefficient of performance (Cp) of wind turbines varies with the Tip-Speed Ratio (TSR) for angles of attack at 0°, 10°, 20°, and 30°. This problem involves the key concepts of wind turbine aerodynamics, the Cp-TSR relationship, and Betz Law. Suitable for advanced high school and college-level students.

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