Hello,
An alternator has a much higher power output than an generator. The gernerator may have only 2-4 poles whereas the alternator may have as many as 12-14.
Alternators are pretty much a must for operating AC driven systems like avionics and computers, because that type of gear needs a stable high frequeny power source (400hz). A DC convertor will be installed to convert the AC to DC for DC powered systems. The alternator has an advantage also because it will put out it's full power capabilty no matter what the RPM of the driving force (accessory drive, belt, etc...) Thats where the "pole" thing becomes important as I mentioned above.
Generators are seldom seen in newer aircraft that demand more power and at higher freqs (400Hz). For instance a Luscombe has a generator, and many older airplanes like it and because electrical power demands are low in these airplanes, however, a minimum RPM has to be maintained to have adequate electrical power...
some examples of AC and DC driven sources:
28VDC: Electric Flap motors or gear motors.
26VAC: Rotating Radar antennas (Remember AC is a more stable source, think Freq. radar works a helluva lot better if the antenna RPM is constant. DC motors wouldn't cut it for that job)
115VAC (3 phase 400 Hz): Just about ALL your modern EFIS and avionics runs on that stuff.
Hopefully, some FE-type peoples will have better info than an old "scope dope" like myself
Regards,
ex-Navy rotorhead