I'd take the valve head off the body first and just check the spindle in the top of the valve body can turn freely from side to side (it should do if its new, but you never know) if its not free enough to turn with your fingers then lube it accordingly. If that's sticking it will be putting strain on the synchron motor when it's trying to turn, hence the heating up.
If that's free and the valve head is getting hot (even with no heat in the pipes) then I would say you're on the right lines with a faulty synchron motor. Although if its new I would be taking it back to where you bought it from and asking for a replacement.
Good luck.