I greatly appreciate your detailed explanation, as well as Noozer's,
for the reason of my problem. However, I need a solution. I do not need
LED light bulbs for general lighting, since I prefer the compact
fluorescent bulbs for this purpose. I need LED light to illuminate my
keyboard because of its very low power consumption. Its being
directional is also a boon.

Why does this need to be plugged into the UPS at all? If you need light in
case of a power outage GET A FLASHLIGHT!