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at a location in europe, it is necessary to supply 1000 kw of 60-hz power. the only power sources available operate at 50 hz. it is decided to generate the power by means of a motor- generator set consisting of a synchronous motor driving a synchronous generator. how many poles should each of the two machines have in order to convert a 50-hz power to 60 hz?

Respuesta :

The number of poles that the two machines should have in order to convert a 50-hz power to 60-hz is a 10 pole synchronous motor must be coupled to a 12-pole synchronous generator.

n = 120 f / P

n = Speed of synchronous machine

f = Frequency

P = Number of poles

For motor,

f = 50 Hz

n = 120 * 50 / Pm

For generator,

f = 60 Hz

n = 120 * 60 / Pg

To accomplish the frequency conversion, the speed of the motor and generator must be equal. So,

120 * 50 / Pm = 120 * 60 / Pg

Pg / Pm = 6 / 5

Pg / Pm = 12 / 10

Therefore, to accomplish the frequency conversion, a 10 pole synchronous motor must be coupled to a 12 pole synchronous generator.

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