Hi Melle,
Yes. The battery on the machine is located in the back of the saddle and it's alocated space is extremely limited.
There is no room on the bike for a battery other than there. It is a small and light machine, probably around 100 kg.
One option would be to have the fiberglass saddle modified and painted to accept a larger battery which would be just fine. As it is, the battery on the machine is good for one start and 15 minutes ignition. Then, basta!
Now if you have somebody just up the road from you who can modify and repaint my saddle, I'm nearly on my way and we'll have a beer or two.
Otherwise, yes, I have a wiring diagram, and no, I wouldn't need one to wire in an alternator and regulator/rectifier.
Paul