Do I get it right that from the dark measurement you can more or less exclude that series or shunt resistances are involved in the illuminated I--V curve?
As next step, I suggest to repeat the I--V measurements for varying light intensity. One thing is to check for the shape of the I--V curves themselves, the other is to perform suns--Voc measurements. Here I suggest to monitor three quantities, then: the short-circuit current, the open-circuit voltage, and the (more or less total) photocurrent -- which may differ from the short-circuit current -- obtained by applying a not-too-large negative voltage.
Would you display the the dark and the illuminated I-V curves? The linear illuminated I-V curve may point out the existence of heavy internal shorts of the solar cell. That is the shunt resistance Rsh is relatively small. Also, the series resistance may be relatively large.
For more information please follow the paper in the link:https://www.researchgate.net/publication/232710923_A_Zekry_and_G_El-Dllal_effect_of_MS_contact_on_the_electrical_behavior_of_solar_cells_Journal_of_solid-state_Electronics_Vol31_No1_1988
wish you success
Article A. Zekry and G. El-Dllal, “ effect of MS contact on the elec...
Dear Farid: What you wrote is only true in cases where the so-called superposition principle really holds. However, this is not guaranteed at all; there are many interesting publications dealing with deviations from the superposition principle. To give an example of an important one, have a look at the following 1994 paper of Robinson et al.: https://www.researchgate.net/publication/224555070_Departures_from_the_principle_of_superposition_in_silicon_solar_cells
Article Departures from the principle of superposition in silicon solar cells
You have probably an interfacial problem, a layer which contains a lot of trap centers located in the space charge region. In dark there is a barrier which results in a classical I-V curve. When illuminated the traps are emptied and the barrier disappears. More information could result of the use of monochromatic light at various walengthes. May be you can localise the position of the traps in the band gap