windpowerlib.power_output.power_coefficient_curve¶

windpowerlib.power_output.power_coefficient_curve(wind_speed, power_coefficient_curve_wind_speeds, power_coefficient_curve_values, rotor_diameter, density)[source]¶

Calculates the turbine power output using a power coefficient curve.

This function is carried out when the parameter power_output_model of an instance of the ModelChain class is ‘power_coefficient_curve’.

Parameters:	wind_speed (pandas.Series or numpy.array) – Wind speed at hub height in m/s. power_coefficient_curve_wind_speeds (pandas.Series or numpy.array) – Wind speeds in m/s for which the power coefficients are provided in power_coefficient_curve_values. power_coefficient_curve_values (pandas.Series or numpy.array) – Power coefficients corresponding to wind speeds in power_coefficient_curve_wind_speeds. rotor_diameter (float) – Rotor diameter in m. density (pandas.Series or numpy.array) – Density of air at hub height in kg/m³.
Returns:	Electrical power output of the wind turbine in W. Data type depends on type of wind_speed.
Return type:	pandas.Series or numpy.array

Notes

The following equation is used [1] [2]:

$P=\frac{1}{8}\cdot\rho_{hub}\cdot d_{rotor}^{2} \cdot\pi\cdot v_{wind}^{3}\cdot cp\left(v_{wind}\right)$

with:: P: power [W], $\rho$ : density [kg/m³], d: diameter [m], v: wind speed [m/s], cp: power coefficient

It is assumed that the power output for wind speeds above the maximum and below the minimum wind speed given in the power coefficient curve is zero.

References

[1]	Gasch, R., Twele, J.: “Windkraftanlagen”. 6. Auflage, Wiesbaden, Vieweg + Teubner, 2010, pages 35ff, 208

[2]	Hau, E.: “Windkraftanlagen - Grundlagen, Technik, Einsatz, Wirtschaftlichkeit”. 4. Auflage, Springer-Verlag, 2008, p. 542