windpowerlib.density.temperature_interpol

windpowerlib.density.temperature_interpol(temp_air_1, temp_air_2, temp_air_height_1, temp_air_height_2, hub_height)[source]

Calculates the temperature at hub height by inter- or extrapolation.

This fuction is carried out when the parameter temperature_model of an instance of the Modelchain class is ‘interpolation’.

Parameters:
  • temp_air_1 (pandas.Series or array) – Air temperature.
  • temp_air_2 (pandas.Series or array) – Second air temperature for interpolation.
  • temp_air_height_1 (float) – Height for which the parameter temp_air_1 applies.
  • temp_air_height_2 (float) – Height for which the parameter temp_air_2 applies.
  • hub_height (float) – Hub height of wind turbine in m.
Returns:

Temperature at hub height.
Return type:

pandas.Series or array

Notes

The following equation is used:

T_{hub} = (T_2 - T_1) / (h_2 - h_1) * (h_{hub} - h_1) + T_1

with:
T: temperature, h: height

Assumptions:

  • linear temperature gradient