Workaround for Dell "Power supply not recognised" issue

I have a Dell Inspirion and the power supply port appears to be damaged.

Basically when I plug it in I get a nice popup telling me that it couldn't detect that its a Dell power supply so it won't charge the battery and underclocks the system. It still works for other purposes (that is, giving power).

I thought it was the actual power supply cable so I bought a new one, that worked for a while, provided I inserted it at JUST THE RIGHT angle. But now that's not working anymore, so I assume its the part which connects to the computer.

The battery charging I can live without, the underclocking I can't. I'd like a way around this issue. Things I've tried:

1. Updating the BIOS


2. Replacing the power supply cable


3. Inserting it at different angles


4. Turning it off and on again


5. Swearing at it


6. Twisting it while inserting it

So, is there a workaround somehow? I'd like to avoid taking out my soldering kit and risking permanently damaging expensive equipment if that's allright. I'm hoping for a software solution.

Added: The exact model is a Del Inspirion N5010