Hi Volvo,
That's a heck of an idea, that certainly needs looked into.
I read that the moon reflects about 7% of the sunlight that hits it. Much of the sunlight is absorbed by the moon surface. You would need about a 15 to 1 moonlight collecter to get 1 sunlight value at the moon surface.
However, since the moon is round, it reflects light in all directions. The 7% of sunlight that is reflected is scattered. We don't get a land area on earth equal to the moon which is receiving 7% sunlight at night. That 7% is scattered over a wider area.
earth 7900 miles diameter
moon 2160 miles diameter
238,857 miles distant
A 2160 mile diameter object has a circumference of 6782 miles. Since only half of the moon is exposed to sunlight, we get an arc of 3391 miles of reflective surface.
Since we are 238,857 miles from the moon, the moonlight from that 3391 mile reflective surface is now scattered across an arc 375,005 miles long.
Since the earth has a diameter of 7900 miles, it only catches 7900/375,005 % of that reflected light, or about 2% of the light reflected from the moon.
If my math is correct, the earth catches 2% of the sunlight the moon reflects. Since the moon reflects 7%, and because of our distance from the moon, we can only catch 2% of that 7% reflected sunlight. Moonlight is 0.14% (0.0014) of actual sunlight.
A 50 sol concentrator would generate about 7% of true sunlight. In order to get 1 sol output from a moonlight concentrator, you would probably need a 700-750 sol concentrator.
I took the 7% sunlight reflected from a website. I don't know how accurate it is. Moonlight can be pretty bright sometimes. Moonlight being 0.14% of actual sunlight seems low to me, but it may be accurate.
I know some of the amorphous panels produce better in low light conditions. While it may be practically impossible for DIY'ers to achieve 1 sol with a moonlight concentrator, it may be possible to collect enough moonlight that low light amorphous panels may be able to produce some power.
It's definately an idea worth experimenting with. But if you do play with a moonlight concentrator, have it 100% covered before daylight!