I had a very similar issue when I first got mine. I could sometimes wiggle the power supply connection and get it going. That stopped working a several days later. Lionel sent me a new power supply and all was well for quite some time. After some time had passed, I'd say at least a year or more, it happened again. I think it may have happened one or two times since, but it is really very infrequent now. Now it's been quite a while since this has happened so I've sort of forgotten about it and have been hoping for the best.
Anyway, just wondering if I could be having the same problem as you were experiencing? Guess time will tell, but at least you have given me a clue as to what to look for if it does finally quit again.