Temperature Rating for Solar Panels
There are many factors for the effect of irradiation and ambient temperature on a PV system or a PVT (PV+Thermal) system.


Amorphous silicon (a-Si) is the liquid-solid material that is a non-crystalline form of silicon used for solar photo-voltaic (PV) cells and thin-film transistors in LCD displays.
Crystalline silicon (c-Si) come in both Mono and Poly-crystalline is a high quality purified Si, more efficient but made in thin films with toxic materials; Cadmium Telluride (CdTe) or copper indium gallium selenide (CIGS or CIS) and much-less Enviro-friendly for disposal.



This is one type of a-Silicon material.


The max PV power \$Pm=FF*I_{sc}*V_{oc}\$ 


for a given Fill Factor \$ FF\$, which depends on;


ambient temp \$T_a\$
cell temp \$T_c\$
wind speed      \$V_w\$
Irradiation     \$I(t)\$ 
glazing transmittance \$\tau\$
substrate Absorption \$\alpha\$
electrical efficiency \$η_{Tref}\$
cell tempco         \$\beta{ref}\$ 
Ref. Temp \$T_{ref}\$ e.g. \$ @25\deg C @ 1kW/m^2\$ 
zero power temp \$T_{o}\$ at high temp

Both \$FF\$ and \$Voc\$ have a neg. temp. coeff., NTC
where \$\beta=\frac{1}{T_o-T_{ref}}\$


The overall mean monthly efficiency  \$\bar η\$ becomes;

Above is for mean monthly values, Siegel MD, Klein SA, Beckman WA. A simplified method for estimating the monthly-average performance of photovoltaic
systems. Solar Energy 1981;26,413-8.


\$n\$ hours per day
\$U_L\$ mean thermal loss coeff.
\$H_T\$ mean daily Insolation on direct plane
\$V\$ is a function of sunset angle ratio, average sky clarity index, mean gain for solar tracking
The hybrid system consists of a solar PV panels combined with a cooling system. i.e., water or air, for cooling the solar cells, and transported for other uses such as domestic heating. 


These are some examples PV and PVT arrays.



The payback period of &lt; 5 yrs for a 10 yr expected minimum lifespan for major components is a general rule of thumb including converters, storage cells, with install &amp; maintenance cost. Anything better is "gravy".


  Some of the inefficiency of PV's is due to the lack of conversion of InfraRed thermal and UV energy from the sun's \$1.3kW/m^2\$ , which is why it is often rated at \$1kW/m^2\$ for the sensitivity of Silicon cells.


This performance ratio decreases with latitude because of temperature extremes but improves with altitude due to colder mean temperatures.


  PV modules have tradeoffs for thermal sensitivity and efficacy so low T sensitivity is preferred for generally high ambient zones and higher eff. but higher effic. PVT improves year round effectiveness, when used with heat pumps.




One example of this range was my hometown in Winnipeg where it can reach +40'C for a week in summer and Winter can reach -40'C for a week in Feb.*



Hybrid Photovoltaic/Thermal (PV/T) solar system is perhaps the best option for cooling photovoltaic panels , reclaiming energy and boost efficiency, but initial cost is higher.

This is not a complete answer , just a guide to understand the parameters and variables used. I hope it was worth the effort on your part to read it. :)