It's hard to say if you have the proper power supply. Maybe check your power cable. I use an extra long one and keep that in mind when I am troubleshooting. Maybe your Pi or new power supply is malfunctioning. Do you have a second Pi to test your current card?
Since it's global it sounds like you might need to do some additional troubleshooting. I would almost reinstall with a fresh image on the SD card (or a different one) to rule out the SD card, image & configuration. Maybe a different USB drive if that's what you're using.
It seems there's a lot that could happening to make a determination or if it was a larger/build related issue more would be posting.