# windpowerlib.tools.gauss_distribution¶

windpowerlib.tools.gauss_distribution(function_variable, standard_deviation, mean=0)[source]

Gauss distribution.

The Gauss distribution is used in the function smooth_power_curve() for power curve smoothing.

Parameters: function_variable (float) – Variable of the gaussian distribution. standard_deviation (float) – Standard deviation of the Gauss distribution. mean (float) – Defines the offset of the Gauss distribution. Default: 0. Wind speed at hub height. Data type depends on the type of wind_speed. pandas.Series or numpy.array

Notes

The following equation is used [1]:

with:
: standard deviation, : mean

References

 [1] Berendsen, H.: “A Student’s Guide to Data and Error Analysis”. New York, Cambridge University Press, 2011, p. 37