Your power supply is the last line of defense in a power surge. Unplug it for half an hour and let it cool down. Check your breaker box for any tripped breakers. Then with the power off, plug the power supply in. Then turn the switch at the power supply on, and then press the system start button.
If it boots up, then count yourself lucky.
If it didn't boot up, try another circuit (that you know is working). If it doesn't boot up, at a minimum your power supply is probably damaged damaged.