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

Wind Turbine Aerodynamic modeling


References

References

  • Wind Power in Power Systems

    Thomas Ackermann

    John Wiley & Sons, Ltd

    Chapter 24


Wind turbine aerodynamic modeling

  • . .


Basics

Basics

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


Basics1

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.


Basics2

Basics

  • Torque Equation


Wind turbine aerodynamic modeling

  • . (Albert Betz)


Wind turbine aerodynamic modeling

  • . ( ) . .


Wind turbine aerodynamic modeling

  • . .


Basics3

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.


Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

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Wind turbine aerodynamic modeling

  • . Stall


Wind turbine aerodynamic modeling

. . .

SW-

NW-

RW-

NW-

RW-


Basics4

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.


Basics5

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


Basics6

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


Basics7

Basics


Basics8

Basics

  • Mechanical Power Curve


Basics9

Basics

  • Bonus 1000 kW, 54 m rotor diameter power curve


Basics10

Basics


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