damage to macbook pro logic board from battery that has swollen

the unit works fine with no battery but when I insert a new battery in it, the unit bongs and then dies completely immediately I plug the battery plug in!

Yes, obviously I tried those resets before I asked circuit board level technical questions here

The swollen battery has done damage to the board beyond what can be resolved in a technical support forum here.

It is impossible to predict the resolve, except to take it in for assessment/repair/replacement of the logic board(?) and your way forward.

The controller(2) on the board are not recognizing and responding to the the DC-in from the power adapter voltage output which are unregulated — it is the circuitry inside the Mac that both conditions and regulate the input making changes to the monitoring feedback ie charging/ green-amber light /icon in the menubar etc

Notebook computer   use the installed battery to buffer against voltage fluctuations by relying on the normal battery. It is not advisable to use your notebook computer without a normal working battery in good condition. You are at risk having the  voltage fluctuation damaging further the internal components.

In or out of warranty you can get a free over the counter 'Apple Service Diagnostics' test.

Make an appointment

https://www.apple.com/retail/geniusbar/

Apple most likely will decline to do the work, on a 2011 MBP—but you will have the diagnosis.

Vintage and obsolete products - Apple Support

Any independent and reliable computer repair shop would do the job for you if you are not up to the task yourself.

You should go to his YouTube site and try to contact him.

Or go to the iFixit site and see if someone there has worked through this.

And then look around for a reputable 3rd party repair site in your area that has diagnostic tools, a good desk board microscope and can do board level soldering. They would probably be able to help you locate the damage on your logic board and do the solder/chip replacement if necessary.

2011 MacBook Pro already can't run the latest version of MacOS, although High Sierra that it can run is still getting security updates for now.

How much more money do you want to pour into this older computer, when it is behaving so badly?

I am the last guy to want the Hardware to win. It makes me crazy when the computers win.

But wouldn't you be better off putting your money toward a computer that is closer to meeting your current needs and saying goodbye to this one?

Did you try Try resetting the SMC https://support.apple.com/en-us/HT201295

if so

Try resetting NVRAM/PRAM http://support.apple.com/kb/ht1379