I will make a prove of concept of an electric supercharger for a 50cc engine,
Try a small weed blower or hair dryer....
They wont work to build up pressure because of a design which is not made to build up pressure, as the pressure would go between the fan blades. In a turbo, the air is circulated around in the turbo and whenever air is used, new air will get into the intake manifold until the pressure is again on the desired level. Then it will again circulate around inside the compressor housing, keeping the compressed air in the intake manifold. This circulating air inside the compressor housing have great energy, as speed affects force in ^2 which means that double the speed will give 4 times as much power or inertia.
If i used a hair dryer, no air would be moving when it reached the point where the fan could not build up enough pressure, and the fan will stall because the compressed air is pressing directly against the fan instead of pressing at fast moving air. The space between the fan blades will then allow air to get back, opposed to a turbo, where the fast moving air acts as one continuous fan blade, not having any holes.
The hair dryer design could do the same as a turbo, but would require a stronger motor to withstand the pressure directly on the blades, while the supercharger/turbo design haven't got as much resistance, so it wouldn't need as strong a motor but just a motor with high rpm (or the right ratio between power and gearing), as the conventional design will only need enough power to accellerate the fan and the air to the desired speed.
The challange is to find a way to calculate the right compressor speed and the required power before using money on motors, so you can make sure that the electricity onboard the scooter is enough to drive it.