Electric turbocharger project – Challenge 1:Electric motor

Hi all!! My name is Angelos. I am a software engineer , part-time inventor , motorcycle enthusiast and racing fan from Greece. I started working on this project during summer , after careful consideration of the challenge , some hours of research and large barrel of beer I ended up on a serious problem regarding the electric-motors in general. 

I am not expert in electric motors but I have studied their basic principles, a while back when the project was just a thought .So let's FFWD ....

What are we building?
An electric supercharger

Application?
Forced Induction for CBR1000rr motorcycle

What is the Challenge?
The electric motor must be fast , reliable and compact.

And finally my questions:
a.30000 rpm , possible but for how long?

b.Will armature temperature impact performance or just it's reliability?

c.If motor's speed is dictated by armature size, voltage , current , Hz(?) , does it mean that a small , fast and reliable motor is impossible?
 

This is just the tip of the ice-berg but your respose would help me tons.Cheers!

 

30K rpm is not a big problem with a brushless motor, the horsepower requirement to run a intake compressor and provide the rapid spin-up required is going to be a bigger issue.

You can figure out the static horsepower by using the displacement, max RPM and boost ratio.

The dynamic horsepower is a function of the angular momentum of the rotor (and motor armature) and any drive hardware. If you want to run the compressor at 30K RPM, then you need to be able to accelerate from 1K (swag idle rpm) to 30K in (let's say) 500ms (assumes that you are not exceeding the maximum boost at 30K RPM, each engine speed will have a max compressor RPM that corresponds to the max design boost). Angular acceleration uses the same basic formulas as linear acceleration, just replace V with angular velocity (typically rads / sec represented by omega) and replace M with the moment (I as I recall). I don't know how easy it will be to get the moment of the compressor rotor.

If you need help with the math, provide as many of the input variables above as possible and repost.