Local uniqueness solution of illuminated solar cell intrinsic electrical parameters

Starting from an electrical dissipative illuminated one-diode solar cell with a given model data at room temperature (I(sc), V(oc), R(s0), R(sh0), I(max)); we present under physical considerations a specific mathematical method (using the Lambert function) for unique determination of the intrinsic electrical parameters (n, I(s), I(ph), R(s), R(sh)). This work proves that for a given arbitrary fixed shunt resistance R(sh), the saturation current I(S) and the ideality factor n are uniquely determined as a function of the photocurrent I(ph), and the series resistance R(s). The correspondence under the cited physical considerations: R(s) does not exceed ]0, 20[Ω and n is between ]0, 3[ and I(ph) and I(s) are arbitrary positive [Image: see text] , is biunivocal. This study concludes that for both considered solar cells, the five intrinsic electrical parameters that were determined numerically are unique.