Sega Star Wars Trilogy

I've decided to replace the power supply on this old game, Sega has introduced a new system that will allow the old huge power supply to be replaced with a new switching PS-  The old PS has been removed, and now I have to figure out how to install the new one.  For the most part, it's fairly simple, but there are a few connections on each side that don't match up-  so now what?