Wind turbine aerodynamic modeling
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Wind Turbine Aerodynamic modeling. References. Wind Power in Power Systems Thomas Ackermann John Wiley & Sons, Ltd Chapter 24.

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Wind Turbine Aerodynamic modeling

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Wind Turbine Aerodynamic modeling


References

  • Wind Power in Power Systems

    Thomas Ackermann

    John Wiley & Sons, Ltd

    Chapter 24


  • . .


Basics

  • The kinetic energy of a cylinder of air of radius R traveling with speed Vwind :


Basics

  • It is not possible to extract all the kinetic energy of the wind.

  • A fraction of this power is absorbed by the wind turbine.

  • This fraction is called power efficiency coefficient or Cp.


Basics

  • Torque Equation


  • . (Albert Betz)


  • . ( ) . .


  • . .


Basics

  • It can be shown that the theoretical static upper limit of Cp is 16/27 (0.593).

  • This is known as Betz's limit.

  • Modern three bladed wind turbines have an optimal Cp value in the range 0f 0.52-0.55.


  • :

  • .


  • .


  • . .


  • .


  • .


  • . - .


  • 3/1 .


  • . .


  • .


  • .


  • . Stall


. . .

SW-

NW-

RW-

NW-

RW-


Basics

  • Tip-speed ratio

  • Highest values of Cp are typically for tip-speed ratio around 8 to 9. That is the tip is moving 8 times faster than the wind speed.


Basics

  • Two Kinds of Control:

    1.Pitch Control:

    • blade angle changes with wind speed

    • Blade pitch adjustment allows the energy capture to be optimized over a wide range of wind speeds

    • providing for over-speed protection through large adjustments in pitch angle.

    • Slow dynamics


Basics

  • Two Kinds of Control:

    2. stall control:

    • blade angle is constant

    • the turbine blades will stall at high wind speeds and automatically reduce the lift on the blades


Basics


Basics

  • Mechanical Power Curve


Basics

  • Bonus 1000 kW, 54 m rotor diameter power curve


Basics


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