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We can also estimate the power coefficient which is the fraction of harnessed power to total power in the wind for the given turbine swept area. According to the M.Eng report presented in the problem statement, this blade is meant to ressemble GE 1.5 XLE wind turbine blade. The specification sheet of this turbine states the rated power of this turbine to be 1.5 MW, the rated wind speed to be 11.5 m/s and the rotor diameter to be 82.5 m. 

Thus, at rated wind speed,

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The resulting power coefficient of 0.30 is very reasonable. It is important to know that the above analysis comes from the one-dimensional momentum theory and uses the following assumptions:

  • The flow is steady, homogenous and incompressible.
  • There is no frictional drag.
  • There is an infinite number of blades.
  • There is uniform thrust over the disc or rotor area.
  • The wake is non-rotating.
  • The static pressure far upstream and downstream of the rotor is equal to the undisturbed ambient pressure. 

We will compare it to power coefficient obtained from the simulation in the Verification & Validation section. 

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