Hi, I work in IT and recently we have had a few computer come in that wont turn on when plugged in.  They are all E6530's and when they are not plugged into their AC adapters they will turn on just fine.  If I plug a Charger into it after it is up and running it seems to work with no issues.  When the Charger is plugged into the computer and you press the power button the hard drive light flashes for a second and the battery light stays on to signify that it is charging, the power button will also stay lit, after this nothing will happen, when you hit the power button a second time you hear the fans spin up and the hard drive light starts to flash again and it goes for around 5 seconds then it fully shuts off.

I have tried multiple chargers of various Wattages, and all of them do the same thing.  I then went to Diagnostics and ran a full Test With the charger plugged and with no Issues being found.  I have done all suggestions I have found through multiple different forms although I haven't seen one with this exact issue.