Or even in your additional carryon for the overhead. Remember not to stretch to put it up in the overhead..... ask someone else to assist you.
If you charging unit was anything like mine, from Boston Scientific, it would consist of a cradle and a battery unit with a control and light on it, not to different from having an extra laptop computer battery and cord...... so if it is in the bag, then it should scan well. If you have to place it in the trays by itself for the security folks to have a look see, then so be it; however it is just a battery and charging cradle with wire that runs to a plug.
OH, ANOTHER THING last I remembered, wiring was different as between this side of the pond and yours, so you could need a converter plug in case they fitted your unit with an Irish standard plug wire for connecting to the wall outlet....... Years ago, I studied in the continent [stood on Irish soil for a while as they refueled the aircraft] and had to take along a converter for my electrical plug as U.S. standard was said not to fit Euro standards of the time. I have no idea whether that is still an issue, but thought to bring it up.
Maybe I better stop stirring the pot......
Nuff said,

Z
Mark56