windpowerlib.power_output.cp_curve¶
-
windpowerlib.power_output.
cp_curve
(v_wind, rho_hub, d_rotor, cp_values)[source]¶ Calculates the turbine power output using a cp curve.
This function is carried out when the parameter power_output_model of an instance of the
Modelchain
class is ‘cp_values’ and the parameter density_corr is False.Parameters: - v_wind (pandas.Series or array) – Wind speed at hub height in m/s.
- rho_hub (pandas.Series or array) – Density of air at hub height in kg/m³.
- d_rotor (float) – Diameter of rotor in m.
- cp_values (pandas.DataFrame) – Power coefficient curve of the wind turbine. Indices are the wind speeds of the power coefficient curve in m/s, the corresponding power coefficient values are in the column ‘cp’.
Returns: Electrical power output of the wind turbine in W.
Return type: pandas.Series
Notes
The following equation is used [1], [2]:
- with:
- P: power [W], : 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 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