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.

Returns:

Wind speed at hub height. Data type depends on the type of wind_speed.

Return type:

pandas.Series or numpy.array

Notes

The following equation is used [1]:

$f(x)=\frac{1}{\sigma \sqrt{2 \pi}} \exp \left[-\frac{(x-\mu)^2}{2 \sigma^2}\right]$

References