I just purchased a lot of 40 solar cells each with 1.8 W, 0.5 V, and 3.6 A. This gives a total of 72 W. Ideally, I would like to connect the cells in a manner to yield 12 V. I know I can connect two sets of 20 cells (series) in parallel for 10 V and 7.2 A, or all 40 in series for 20 V, 3.6 A. I'm fairly certain there is no possible way to yield 12 V with factors of 40. I know I can use 24 cells in series to get 12 V, but then I won't be able to use the 16 other solar cells. I considered a DC-DC "buck" converter to convert from 20 V to 12 V, but I couldn't find any with a high enough current output.
I think I may have a way to connect the cells to get 12 V, but I'm not sure it would work. This circuit is going beyond what we are currently (pun intended) learning in my high school physics class. So would this work: One group of 23 cells in series. This gives a voltage of 11.5, an amperage of 3.6, and a power output of 41.4 Watts. Another group of 17 cells in parallel, 0.5 V, 61.2 A, 30.6 W. Then both groups would be connected in series. From what I understand (which could be completely wrong), the voltages would add to 12 V and the power would be 72 Watts. What I don't understand is what happens to the amps. I can calculate from P=VA that the amperage would be 6. I'm just confused as to how 61.2 A and 3.6 A could combine somehow and make 6 A (which makes me think that this might not work).
So does anyone think that this might work? If it won't, can I please be pointed in the right direction?