Wind Turbine Equations

 

Angular hub speed is given as,

 

 

Turbine Power (in MW) is,

 

MOD 2 Equations

 

Tip Speed Ratio is,

 

 

Coefficient of Power is,

 

MOD 5 Equations

Tip Speed Ratio is,

 

 

Coefficient of Power is,

 

 

Where,

 

Rotational speed of the machine [rad/s]

Gearbox ratio

Angular hub speed [rad/s]

Wind speed [m/s]

Air density [kg/m3]

Rotor area [m2]

Gearbox efficiency [pu]

Pitch angle [deg]

Rotor radius [m]

 

See PSCAD References [18] and [19].