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Can I run 220v/1phase/50Hz AC machine on 220v/1phase/60Hz?

Think about your basic electrical engineering coursework from your degree program. There are three basic phenomena acting in concert when you do something like this.

First: for an AC machine, rotational speed is directly proportional to frequency. This means that higher frequencies mean higher speeds.

Second: output torque is proportional to the square of the voltage. This means if you lower the voltage, the torque will drop even more.

Third: for the same power draw, current is inversely proportional to voltage. This means that at the same power output, a lower voltage machine will require more current.

Add all that up in your switch from 220v/1phase/50Hz to 220v/1phase/60Hz. The machine will turn faster, draw more current, and develop less torque. The load requirement (the cooler compressor) hasn't changed - so the motor is going to work harder and (eventually) fail.
If you want to supply your 50Hz AC machine by using 60Hz power source which has different frequency than it is written at the nameplate of your AC machine, you need to take care about value of magnetic induction in ferromagnetic core of your AC machine, because of possibility of appearing of unallowed warming of ferromagnetic core which can contribute to damaging of ferromagnetic core of your AC machine. This fact is a consequence of entering magnetizing curve into area of saturation in H-B characteristic which describes behavior of magnetic induction in depends of intensity of magnetic field. In the area of saturation, as long as you would like to increase voltage, magnetic induction will stay at the same value which is the equal with value of magnetic induction under nominal voltage. So, by increasing voltage you will have only unallowed warming of ferromagnetic core, so you need to take care about ratio of voltage and frequency:

U1/f1=U2/f2=const.
- - - -> by: Boj
Something that is being missed is that this isn't just a motor. Although I'm making an assumption here, this "AC machine" probably involves a motor with a refrigeration compressor tied to it.

Most likely, the motor by itself would be OK running on the North American voltage of 240V/60Hz, although it will run 20% faster than it would on 220V/50Hz. (it will have a bit more iron losses etc. but it would probably be OK.)

However, when you speed up the motor by 20%, you also speed up the compressor by 20%. Roughly speaking, this will increase the flow through the compressor by 20% and will increase the pressure drop across the machine "plumbing" by the square of the flow increase. The power consumed by the motor will now be (roughly) 1.2 X 1.2 X 1.2 = 1.728 times its rating. Short answer; feed the unit through a VFD so that you can keep it operating within its design specs.
- - - -> by: Mike

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