Thanks for the response. When you took the hard drive out did you spray some compressed air inside the PS3 to try and clean it out? If not, please try this also, as it's possible that the connection between the console and the HD are not secure.
Also, try to reformat. The system may or may not let you get this far. If it does not, then most likely, the power supply is shot in the PS. The second most likely fault is that the HD is faulty, but you'd typically get the blinking Yellow or Red light if it was the HD. Something internally is showing the power supply a short, and causing it to shut down.
Hard Reset procedure for the PS3 (as instructed by Sony CS).
Be sure to backup your settings/games saves by doing a System > Backup on your PS3 or you may lose your game saves!1. Power Off the PS3 via the power switch in back and power back on w/switch.
2. Hold Power Button on the Front until you hear 3 beeps.
3. Then go through the initial setup and then run a full Format via System > Format. (will take approx 3 1/1 hours). You may need to have our AV cables ready if your using HDMI (in case HDMI isn't detected after initial reset).
4. Restore your backup you made prior to doing factory/hard reset (optional, if you created a backup).
If this does not work, I can send you the link to PS3's service locator if you'd like.
If you need further assistance, let me know.