Fedders Window AC Unit

When I plug in my Fedders Thru Wall/Window unit, it runs through all the functions with all the little green lights lighting up, turns on for a second, and then shuts off. Then, after remaining plugged in for approximately 30 seconds or less, it stops working altogether. Alternately, sometimes it cycles through the temperatures and starts at around 72, then walks up all the way to like 88, while still doing that whole shut off thing in between each temperature. Then it shuts off altogether. Possible power shortage or what? Any ideas?