A 50 Hz, 3-phase synchronous generator has inductance per phase of X mH. The capacitance of the generator and circuit breaker is 0.002 μF. If the natural frequency of oscillation is 29 kHz, find the value of inductance X

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  1. 15 mH
  2. 10 mH
  3. 25 mH
  4. mH

Answer (Detailed Solution Below)

Option 1 : 15 mH
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MAHATRANSCO AE Electrical Full Test 1
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Detailed Solution

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Formula Used:

Natural Frequency of Oscillation (f) =  Hz

Where,

L is inductance in H

C is capacitance in F

Calculation:

We have,

C = 0.002 μF

f = 29 kHz

From the above concept,

L = 

or, L =  = 15 mH

X = L = 15 mH

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