H SirDoom,
Welcome to Sony Community!
Are you still using the original battery that came with the computer? Try to remove the battery then plug the unit directly into the outlet, observe if it will power off. You may also want to check the status of your battery using the Battery Care Function utility (if you have). Here is the link for further assistance,
https://us.en.kb.sony.com/app/answers/detail/a_id/37715
Regards,
Jen
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