A sigmoidal curve is chosen because the physical mechanism of a wind turbine dictates that power output does not increase linearly with wind speed. A minimum wind speed is required to start the blades rotating, and at higher speeds, the generator reaches its maximum electrical output.
Conditions: The relationship between wind speed and power output is being modeled.; The physical constraints of the wind turbine (minimum cut-in speed and maximum rated power) are considered.
A sigmoidal curve is chosen because the physical mechanism of a wind turbine dictates that power output does not increase linearly with wind speed. A minimum wind speed is required to start the blades rotating, and at higher speeds, the generator reaches its maximum electrical output.
Conditions: The relationship between wind speed and power output is being modeled.; The physical constraints of the wind turbine (minimum cut-in speed and maximum rated power) are considered.