Considering the fact that a solar cell is a kind of a semiconducting device with a solar irradiation triggered current sources, you can understand that thermal inluences, resistances and capacitance or impedance, are elements of such a cell. You have to consider if the cell is mono crystaline, poly crystaline or amorphous.

For the output current, next eq. can be given:-----------

I=Iph-Is*(e^((V+I*Rs)/(N*Vt))-1)-Is2*(e^((V+IRs)/(N2*Vt))-1)-(V+I*Rs)/Rp.

Where:

Short-circuit current, Isc

Open-circuit voltage, Voc

Diode saturation current, Is

Diode saturation current, Is2

Solar-generated current, Iph0

Irradiance used for measurements, Ir0 (The irradiance that produces a current of Iph0 in the solar cell. The default value is 1000 W/m2.)

Quality factor, N (The emission coefficient of the first diode. Normally about 1.5.)

Quality factor, N2 (Normally about 2.)

Series resistance, Rs (Normally very low: 0 Ω.)

Parallel resistance, Rp (Normally very high: h Ω)

Iph is the solar induced current:

Iph=Ipho*(Ir/Iro)

Where Ir is the irradiance in W/m^2 and Ipho will be the measured solar generated current for the irradiance Iro.

Is is the saturation current for the first diode and Is2 is the saturation current for the secind diode.

Vt is the thermal voltage.

N and N2 are the diode emission coefficient of the resp. first and second diode.

V is the voltage across the solar cell ports.

See for the temperature independence the attached file. with the model.

References

[1] Gow, J.A. and C.D. Manning. "Development of a Photovoltaic Array Model for Use in Power-Electronics Simulation Studies." IEE Proceedings of Electric Power Applications, Vol. 146, No. 2, pp. 193–200, March 1999.

See attachment for the complete brief explanation and model.

I hope this answer will work for you.

Best regards Leo de Vos

https://www.nrel.gov/docs/fy16osti/66215.pdf

http://www.lth.se/fileadmin/ht/Kurser/MVK160/Project_08/Fabio.pdf

http://mnre.gov.in/file-manager/UserFiles/faq_swh.pdf