I don't know about a portable power source, but you could try switching out your bass pedal for a Hansenfutz (
http://www.hansenfutz.com/) and triggering that. I don't think that will get the vibrations down to your neighbour.
Ah, but what do I know... my practice pad got my neighbours downstairs knocking on their ceiling with a bamboo pole. It's a tough one. Sometimes I wish I had the cash to soundproof my room.
As you can see from TheBeachBoy's post... there aren't many options for apartment dwellers.