  A wind turbine's power curve relates its power production to the wind speed
it experiences. The typical shape of a power curve is well known and has been
studied extensively; however, the power curves of individual turbine models can
vary widely from one another. This is due to both the technical features of the
turbine (power density, cut-in and cut-out speeds, limits on rotational speed
and aerodynamic efficiency), and environmental factors (turbulence intensity,
air density, wind shear and wind veer). Data on individual power curves are
often proprietary and only available through commercial databases.
  We therefore develop an open-source model which can generate the power curve
of any turbine, adapted to the specific conditions of any site. This can employ
one of six parametric models advanced in the literature, and accounts for the
eleven variables mentioned above. The model is described, the impact of each
technical and environmental feature is examined, and it is then validated
against the manufacturer power curves of 91 turbine models. Versions of the
model are made available in MATLAB, R and Python code for the community.
