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 [Formula: see text] , is biunivocal. This study concludes that for both considered solar cells, the five intrinsic electrical parameters that were determined numerically are unique.