Ok, for starters I haven't been able to find a lot of solid details about the LEDs I have here. All I know is that there are 32 of them; 8 LEDs per strip, in series, and 4 strips, each also in series. Through my poking and prodding, I've managed to determine that the LEDs are probably around 3.6-3.7v and 150mA. The power circuit board in the TV was very well labeled and it specified 118V and 260mA at the LED connector, so I have to assume that means that each LED gets 3.6875v and 260mA. Unfortunately, the power board was broken (which is probably why the TV was in the dumpster...)
So, my question is, how the heck can I get 118v and 260mA? My initial thought was to use a resistor and rectified AC voltage from the wall, which would give me around 170v. That wouldn't work though, because $$\frac{(170 - 118)}{260} = 200Ω$$ and $$0.260^2 * 200 = 13.52W$$ Good luck finding a resistor that can handle 13.5W, and that's SUPER inefficient.
I have a basic understanding of electronics, but this kinda stuff confuses me for some reason. I'm learning more every day, I'm just stuck figuring this out. What would you do in this situation?
Edit: If it helps at all, I found one of these in my parts bin:
https://www.fairchildsemi.com/datasheets/FQ/FQA11N90_F109.pdf
900 volt N-channel MOSFET. Could this be useful?
Edit 2: I bought a DC-DC buck converter, 1.5-30V adjustable. Hooked it up to 32V, adjusted it down to 28 volts, then hooked it up to one of the light strips. 3.5V each and it's using around 200mA. Oddly, when I put more of the strips in parallel the current doesn't increase linearly. All 3 strips only draws about 400mA.