How Is Power Extracted from Wind Turbines?

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SUMMARY

The discussion focuses on calculating the power extracted from wind turbines using the formula P = 1/2 * p * A * v^3. Given an air density of 1.2 kg/m³ and wind speed of 8 m/s, with a turbine blade radius of 1.5 m, the initial power calculation is straightforward. However, the post-blade wind conditions, with a speed of 3.0 m/s and density of 1.8 kg/m³, are also critical for understanding energy extraction efficiency. The conversation also touches on the need for calculating the surface area of wind turbine blades, indicating a broader interest in wind turbine design and performance metrics.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the power extraction formula P = 1/2 * p * A * v^3
  • Knowledge of wind turbine blade geometry
  • Basic skills in mathematical calculations involving area and volume
NEXT STEPS
  • Research the impact of wind speed reduction on power output in wind turbines
  • Learn how to calculate the surface area of wind turbine blades using geometric formulas
  • Explore software tools for wind turbine performance analysis
  • Investigate the effects of air density variations on energy extraction efficiency
USEFUL FOR

Engineers, renewable energy researchers, and students studying wind energy systems will benefit from this discussion, particularly those focused on optimizing wind turbine design and performance analysis.

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Homework Statement


Air of density 1.2kgm-3, speed 8ms-1 is incident on blades of wind turbine. Radius of blades 1.5m. After passing blades, wind speed is reduced to 3.0ms-1 and density 1.8kgm-3. How much power is extracted from wind?

Homework Equations


P=1/2 pAv3

The Attempt at a Solution


P=1/2 x 1.2 x pi x 1.52x 83. But I don't know what to do with the information about the wind after passing blades.
 
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I've solved it - thank you for your time :)
 
How to calculate surface area of wind turbine blade

i want to calculate surface area of wind turbine blade,

can anyone help me out,any formula or software for it?
 

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