Hello
I had the same problem too with just a beep then no power , i tried every solutions on nearly all the ps4 websites but nothing . So what i did was plug every cables on the ps4 with power plugged in and i inserted a disc in the ps4 but not all the way in just enough to hear the beep indicating that the console sense the disc in the loader and it turned on and i pulled out the disc and ps4 is alive again after nearly 2 weeks of finding a solution . I was gonna buy a new console but now i don't need to ... I hope this helps ???
thanks