PV Max Ambient Temperature for a Target Power

The inverse of the PV cell-temperature tile: the highest ambient temperature a module still makes a target power, since a negative power coefficient means a hotter cell makes less. T_cell = 25 + (P/P_stc - 1) x 100/gamma, then T_amb = T_cell - (NOCT-20) x G/800. A 400 W module holding 358 W at 800 W/m^2 tops out at 30 C air (55 C cell). Answers 'how hot before it drops below target' instead of the power from a set air temp. Temperature derate only; the datasheet governs.

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Formula and source

T_cell = 25 + (target_power/P_stc - 1) x 100/gamma; max_ambient = T_cell - (NOCT - 20) x G/800. The inverse of P = P_stc x (1 + gamma/100 x (T_cell - 25)) and T_cell = T_amb + (NOCT - 20) x G/800.

The PV NOCT cell-temperature model and the datasheet power temperature coefficient, by name, solved for the ambient temperature.

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