I haven't tried melting snow, but I have tried backfeeding PV panels.
Every cell is a diode, and it operates forward-biased, not reverse biased.
One illuminated PV panel connected in parallel with one side a dark room didn't drive enough current to do anything interesting.
With two panels wired 2S placed in full sun, paralleled with a single panel in dark room, the current flowing through the dark panel was about 0.4 x Isc. In the case of my 165W panels, about 2A at 41V or 82W dissipated.
I suppose I could buy a solar panel tester like Will reviewed, but that doesn't feel DIY enough to me. Besides, I'm a cheapskate, and I try to do things in the most difficult (and expensive if the equipment wasn't on hand) way. I'm presently working on an underperforming string of Sharp 165W...
diysolarforum.com
If you have a power supply to deliver Voc to your array or to a string, at 40% of rated wattage, that could work. (may be a tall order)
We do have to stop and think whether portions of the array could be damaged, especially when parts of the array clear as described by Efficient, resulting in power and temperature not being evenly distributed.
Save soot and apply to face of panels with a blower (to more efficiently absorb light)?
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