php_44: I want to thank you for helping us out with this complex problem. I've been puzzling over it for quite a long time now. O.K., let me see if I got it right using the correct Series Capacitance Formula. Still using the previous example, 3 100Farad 2.5-Volt capacitors in series would come to: Ctotal = 1/ [(1/100F)+ (1/100F)+ (1/100F)] = 33.33Farad @ 7.5-Volts, right? Dang, I hope this isn't the case, because if it is, it is very disappointing.
At 33.33 Farad, it would be about worthless for this project. I guess I'm left with only a couple of good options unless you guys can help out with some cool new ideas that I haven't thought of yet.
1. Go with a parallel setup and use 3-4 caps to get 300-400Farads at 2.5 volts and perhaps use the Satcure circuit to get the voltage I need to run a LED. Of course then I would have to find a solar panel that put out 2-2.5-Volts or try to figure out how to limit my 3-Volt solar panel to put out a half-Volt less. With the Satcure circuit we would almost certainly have a LED that would run all night on 300-400Farads, but would it be bright enough to make a good emergency flashlight? Anyone care to comment that has built the Satcure circuit? How bright is it and does the LED flicker because of the alternating current? How much current does the Satcure circuit typically draw?
2. Try to find a different Super Capacitor that is rated at a higher voltage and then connect them in a parallel configuration without the need to do a step up on the voltage. I'll try to find some other Super caps anyway, but it will be tough to find one that has a high voltage and high capacitance from what I've seen so far. I recall one company that produced a super cap that was rated at 6.3 volts that would be absolutely perfect for this project, but like all the other super caps it was practically impossible to find anyone that sold it retail.
I will keep at it though because I'm very determined to do this project because I have such high hope for it. I really think that this solar light design has the potential to be the best, most reliable, emergency light out there that would have the potential to last through a lifetime of use. This design would also be the safest because, unlike the NightStar (which is a very reliable flashlight design BTW), this design would have no killer magnets to worry about getting near your electronics and magnetic storage media. LOL. My small room is just full of stuff that such a powerful magnet would chew up and spit out. Keep the suggestions and formulas coming in. I'm reading each and every post on this project with very much anticipation. Thanks guys for all the help and contributions so far.