But in the case of an alternator, there would be no increase.
Well, I figured out last night why no manufacturer has ever made an exhaust driven alternator: alternators don't use enough hp, even at max output, to make it worth the trouble.
1 hp is ~ 750 watts (746, to be exact)
Watts = amps times volts
Alternators charge at 14 volts.
Let's say that we've got a 100 amp alt.
100 amps x 14 volts = 1400 watts.
Alternators aren't 100 % efficient, so let's say that it takes 1500 watts input to get a 1400 watt output.
1500 watts / 750 (watts per hp) = 2
So your 100 amp alt at max output only uses 2 hp. Not worth all of the hassle associated with a turbo.
Oh well. I said that I was a kid when I drew it up...