Then you may find these of interest;
JE Performance Electronic Ignition and Supercharging
GoKartGuru.com Blog Basic Principles in SuperCharging: A Go Kart With More Bolt On Power
GoKartGuru.com Blog Getting More Umph Out of Your SuperCharger Set Up
Honda CD50 engine in modified Fantic Caballero frame & the Aisin AMR300.
Engelbert Sczygiol designed supercharger for a 50cc two-stroke (1965)
Images from: the bikes
Superchargers small enough to be suited for 50cc engines are rare and far between. You can use a too large charger, but results will not be good.
You have to turn the charger at a lower speed than the engine itself, by reducing the driveratio, sometimes as much as 4:1!
The smog pump - cheap and plentiful. Used on automobile engines since late sixties.
The Aisin AMR300. From Subaru Kei- car - 660cc supercharged citycar.
The KF Max10- 25. American aftermarket blower.
The Hansen V12. Made especially for supercharging Kart- engines from 5- 20hp.
The Busch - used on the Peugeot 125cc Jetforce and Satelis scooters.
from: Supercharging small engines
Keep us informed if you decide to take that plunge into madness