Sounds like a PSU fault to me. Other possibilities are mains cable and its connectors, power switch on the PSU (if you have one), or even no power to the wall socket.
If the PSU has failed, it's quite easy to replace and not necessarily expensive.
Surface Pro (2017) vs Surface Pro 4
20 groundbreaking 3D animation technologies coming to Siggraph 2017
iPad Pro 12.9 vs Surface Pro 5
Synology invites you to visit them at Insomnia on 26th – 29th August. Book your tickets now and visit Synology.