It doesn't have a face for some reason, but the pin placement looks identical. I don't know the actual measurements of the AE one though. It's also 2 mm inside diameter isntead of 2.1 which robert said is what AE uses in an old forum post.
If anyone has anymore info on this, it would be real helpful
I think they are called barrel connectors or DC connectors.
They are prettey standard. If the one in the AE mastermodule is in fact 2.1 mm then it is important to get one hat is 2.1 mm as a different siz will either give oor connection or be difficult to insert the powersupply plug into.
I think that the unpopulated area marked CN1 on the board is for a identical connector meant to protrude out of the side of the AE. So depending on the damage to the existing connector it might be easier to solder a new one in that position instead. But onl if the exixting (damaged) connectoer is not shorted. These plugs can be difficult to desolder without special equipment because the pins and the solder joints are so big and kind of suck the heat away, so it is easy to actually make further damage to the PCB in the attempt to desolder the connector. But again it's better to as Robert.