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A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM is
  • a)
    1350
  • b)
    1650
  • c)
    1950
  • d)
    2250
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A 4 pole induction machine is working as an induction generator. The g...
Rotor speed should be greater than syn. speed, to get inductance generator mode
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A 4 pole induction machine is working as an induction generator. The g...
Theory:
An induction generator is a type of asynchronous generator, which is primarily used in renewable energy systems. It works on the principle of electromagnetic induction. The stator windings of the induction machine are connected to the grid and are supplied with a constant frequency. The rotor windings of the machine are shorted and rotate due to the mechanical input. This rotation induces voltages in the stator windings, which are then fed back into the grid as electrical power.

Given:
- Generator supply frequency (f) = 60 Hz
- Rotor current frequency (fr) = 5 Hz

Formula:
The mechanical speed of the rotor (N) can be calculated using the formula:

N = (120 * fr) / p

Where:
- N = rotor speed in RPM
- fr = rotor current frequency in Hz
- p = number of poles

Calculation:
Given that the number of poles (p) is 4, we can substitute the values in the formula to find the rotor speed.

N = (120 * 5) / 4
N = 1500 RPM

Therefore, the mechanical speed of the rotor is 1500 RPM.

Explanation:
The mechanical speed of the rotor depends on the number of poles and the rotor current frequency. In this case, the number of poles is 4 and the rotor current frequency is 5 Hz. By substituting these values into the formula, we find that the mechanical speed of the rotor is 1500 RPM. Therefore, the correct answer is option 'C' (1950).
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A 4 pole induction machine is working as an induction generator. The generator supply frequency is 60 Hz. The rotor current frequency is 5 Hz. The mechanical speed of the rotor in RPM isa)1350b)1650c)1950d)2250Correct answer is option 'C'. Can you explain this answer?
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