I am trying to derive an expression which allows me to calculate the fill factor of a PV module at any temperature or irradiance, given I know the STC parameters. Is there any existing relation?
Sure. The expression is (Impp * Vmpp) / (Isc*Voc)
Fill factor = Power at Maximum Power point / Isc × Voc
These all the factors will change with the change in Temperature and Irradiance.
As Irradiance is directly proportional to the Current.
In the case of Temperature with the increase in Temperature Voltage is decreased.
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