This issue has happened twice so far.
I used to have a Corsair AX 750 power supply. However, whenever I was having a problem with my PC, I had to shut down my PC with the power button on my computer case. I held the power button down and my PC shuts off. However, when I try to turn the computer back on, it will not turn on. I used a power supply tester to see if the power supply had died and my speculation was correct. My power supply had died from turning off the PC. I thought maybe that the power supply was a bit old, and maybe that's why it died. Thankfully, I was able to get a new power supply from Corsair due to the warranty on the power supply. but I ended up getting a newer version of the same brand power supply (Corsair RM750i). After about 3 weeks of using this new power supply. I turned off the computer in the same way I did before. That also killed my new power supply. At this point, I'm just trying to understand what is happening so I can fix the issue. Any help would be appreciated.
EDIT: I should point out, I don't normally turn my PC off this way. I only do this whenever I encounter a certain issue with my PC where my keyboard and mouse input stops working. (Has to do with bad Razer drivers, nothing I can fix without getting a new keyboard and mouse)
EDIT 2: One more thing to point out. The motherboard lights are still on, even though the computer won't turn on. Even pressing the motherboard's onboard power button doesn't turn the PC on, but the motherboard still has power.
PC Specs:
i7 3770k
Corsair H100i
MSI MPOWER Z77
GTX 980
Corsair RM750i
Corsair 650D Case
2 SSDs, 1 HDD
lots of USB devices, basically every USB slot on my motherboard is filled. (This might matter if the power supply isn't enough wattage)