How do you calculate torque produced by high speed winds on a turbine

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SUMMARY

This discussion focuses on calculating the torque produced by a lightweight turbine design under varying wind velocities. The turbine features a 4-blade impeller with a 2-inch shaft, 3-inch foil design blades, and an 8-inch diameter, tested at sea level with wind speeds of 20 mph, 50 mph, and 100 mph. The power generated by the turbine is proportional to the cube of the wind velocity, and torque can be calculated by dividing power by angular velocity. Additionally, the impact of blade angle on power input is highlighted as a critical factor in design considerations.

PREREQUISITES
  • Understanding of torque and power calculations in mechanical systems
  • Familiarity with wind turbine design principles
  • Knowledge of angular velocity and its relation to rotational systems
  • Basic grasp of aerodynamics, particularly blade design
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  • Research the formula for calculating power based on wind velocity, specifically the cubic relationship
  • Explore torque calculations in rotating systems, focusing on the relationship between power and angular velocity
  • Investigate official design codes and standards for turbine blade design and performance
  • Study the effects of blade angle on turbine efficiency and power output
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Engineers, renewable energy researchers, and students involved in wind turbine design and optimization, particularly those focusing on high-speed wind conditions.

Donald Ewing
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Salutations... I am new to this and have a project that I am working on for power generation in high wind conditions and could use some enlightenment.

I am using a proprietary, lite weight turbine (impeller) design, enclosed in a duct, that has the following dimensions:

  1. 4 blade turbine
  2. (impeller type, 2" shaft),
  3. (the blades are 3" foil design)
  4. 8" total turbine diameter
  5. 3' in length

I have tested the turbine at sea level, with variable wind velocity of:

  1. 20 mph = 1,200 rpm
  2. 50 mph = 3,000 rpm
  3. 100 mph = 5,000+ rpm

How do you calculate the torque that is produced by the spinning turbine at the various wind velocities?

Any enlightenment is greatly appreciated. Thanks...,
 
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From a simplistic approach, you can get the power of the turbine based on the wind velocity. I can't remember the exact formula but the power was basically proportional to the velocity3. Then just use power divided angular velocity.

However, you should check to see if there any official design codes for these things as I would believe that the blade angle would affect the power input to the turbine. It might possibly be the basic same way as calculating power from a steam turbine.
 

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