What determines the frequency of the current produced by an A.C. generator??

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The number of poles and the RPM of the rotor. The general formula is: poles/2 * rps (revolutions/second).

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For a 6000 RPM generator, with 8 poles:

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8/2 * (6000/60) = 4 * 100 = 400 Hz

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Essentially it is engine speed.

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Typically small portable generators are two pole and will require an engine speed of 3600 RPM for 60Hz output.

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Larger generators, usually diesel powered, 20kW and up will use four pole alternators and operate at 1800 RPM for 60Hz output.
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