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I'm no expert but I believe the high frequency is due to the number of poles (North-South) of the pilot exciter. The frequency of a generator is directly link to its speed and the number of poles. Most generators will run at 1800RPM and will have 4 poles to achieve 60Hz. The pilot exciter being on the same shaft will also run at 1800 rpm but will probably have more then two poles. finding the formula for frequency of a generator should help you in answering your question.

The next question should be why would you build a pilot exciter with multiple poles and a high frequency? The output of the pilot exciter is going to be rectified to DC so it would make sense to do it with a high frequency and get a smoother DC signal out of the rectifier.

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f=P*N/120 f=Frequency in Hz P= No. of Poles N=Rotor Speed in Revolution per minute(rpm) for P=4 and N=3600, f comes out to be 120 Hz. So frequency of voltage produced is 120 Hz. But this is not practical. Generally 4-Pole generator has N=1500rpm(for 50 Hz) or 1800rpm for 60 Hz. Two pole generator can have N=3600rpm(f=60Hz). The most practical situation is generator having N=3600Hz with 2 Poles. Hope It will be helpful!!!


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