But in the days before modern ferrites the iron losses would have been lethal. Also 1Khz implies a serious number of poles (or very high shaft speed), which makes useful induction motors harder.
50/60Hz was not a bad compromise given the technology of the time, and generating higher frequencies is easy and cheap now.Personally I wish that 3 (or 6) phase was routinely available in a domestic setting, it would mean that switch mode power supplies would not need any input energy storage capacitor. Ohh and lets up the voltage to say
600/1000V makes the cables smaller and means that I get my tea more quickly in the morning (Also gives darwin some much needed help).Regards, Dan.