Wind Turbine Power Calculation Equations

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SUMMARY

The discussion centers on the equation for calculating the power extracted by wind turbine blades, specifically P = 1/2*m*(v2 - v2d). The factor of 1/2 is derived from the kinetic energy formula K.E. = 1/2 * m * v^2, indicating that power is related to the change in kinetic energy of the air as it passes through the turbine. The equation highlights the importance of understanding the velocity difference (v2 - v2d) to determine the effective power output. The user seeks clarification on the components of the equation, particularly the significance of the constants and the mathematical principles involved.

PREREQUISITES
  • Basic understanding of physics, specifically Newton's laws of motion.
  • Familiarity with the concept of kinetic energy and its formula.
  • Knowledge of wind turbine mechanics and operation principles.
  • Understanding of fluid dynamics as it relates to airflow around turbine blades.
NEXT STEPS
  • Study the derivation of the kinetic energy formula K.E. = 1/2 * m * v^2.
  • Research the principles of wind turbine efficiency and power extraction.
  • Learn about the impact of wind speed variations on turbine performance.
  • Explore fluid dynamics concepts relevant to airflow and energy conversion in turbines.
USEFUL FOR

Engineers, physics students, and renewable energy enthusiasts seeking to deepen their understanding of wind turbine power calculations and the underlying physics principles.

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Glad it's Friday? I will be if you can help me with this :D :

I'm trying to understand an equation about calculating the power extracted by the blades of a wind turbine. I have spent a couple of hours going over it but still not making much more sense.

I'm trying to find out why P = 1/2*m*(v2 - v2d). Why the 1/2? Why the '-' sign?? And why the 2 ? I assume it is to do with F=ma, so the v (velocity) is squared to show acceleration but still I can't figure it all out.

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Any tips on how they got to the last equation (18.5) shown above would be amazing!

Thank you! Cannot wait for this to make sense
 
Physics news on Phys.org
https://www.raeng.org.uk/education/diploma/maths/pdf/exemplars_advanced/23_Wind_Turbine.pdf
 
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Likes   Reactions: 1 person
Does K.E.= 1/2 X M X V2 look familiar?
 
It does now, RTW69
 

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