I also had this problem. I had just been moving my original Xbox one from a trip and plugged it back in at home. The power supply stayed orange and when I clicked the power button on the Xbox, it would make a noise but then my Xbox wouldn't start up. The disc eject button would also make a noise if pressed but would not eject a disc. I tried all the unplugging of the power supply stuff and it didn't help.
I simply repositioned my Xbox to stand vertical and then it worked when I tried to turn it on and worked when I played it down horizontal again. Must have been a loose connection somehow?