PS4 turns on to main screen turns off minutes later

I don't know if there are already questions like this but a day ago my brother played the PS4 for hmm four hours. When I came from work I wanted to play so I turned it on loaded up a game but as I was playing it the console turned off... It wouldn't turn on until a minute went by. When it did it would turn on with a blue light then turn to white but it would beep and keep going on to update itself from what just happened and go to the main screen for a few minutes and shut down again. Now I did replace the psu a week before this(does this make a difference)

Today it's working fine hasn't turned off or anything at the moment I did put it on rest mode to type this should it occur again I'll have something to turn to