So from what I can tell the issue might be with the Power Supply Unit, but I want to eliminate any external factors before encouraging you to swap it out. Make sure that there is nothing wrong with the outlet that your device is plugged into, and ensure that the cable connecting your console to the outlet is not damaged.
Once we make sure that the issue is internal, you can use [guide|89196|this guide|new_window=true] to swap out the PSU.