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A 50 Hz, 3- Φ synchronous generator has an inductance per phase of 1.75 mH and its neutral is grounded. It feeds a line through CB. The total stray capacitance to ground of the generator and CB is 0.0025μF . A fault occurs just beyond the CB, which opens when the symmetrical SC current is 7500 A (rms). Maximum rate of rise of RV in V/μ sec is
  • a)
    2789
  • b)
    2500
  • c)
    2300
  • d)
    3000
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A 50 Hz, 3- Φ synchronous generator has an inductance per phase of 1....
Given data:
Frequency (f) = 50 Hz
Inductance per phase (L) = 1.75 mH
Stray capacitance (C) = 0.0025 μF
Symmetrical SC current (I) = 7500 A (rms)

To find: Maximum rate of rise of RV in V/μ sec

1. Calculation of Reactance:
Reactance (X) = 2πfL
X = 2π × 50 × 1.75 × 10^-3
X = 0.55 Ω

2. Calculation of Capacitive Reactance:
Capacitive Reactance (Xc) = 1 / (2πfC)
Xc = 1 / (2π × 50 × 0.0025 × 10^-6)
Xc = 1273.24 Ω

3. Calculation of Total Impedance:
Total Impedance (Z) = √(R^2 + (X - Xc)^2)
Assuming negligible resistance (R)
Z = √(0^2 + (0.55 - 1273.24)^2)
Z = 1273.24 Ω

4. Calculation of Fault Voltage:
Fault Voltage (Vf) = IZ
Vf = 7500 × 1273.24
Vf = 9559.3 V (rms)

5. Calculation of Maximum Rate of Rise of RV:
Maximum Rate of Rise of RV = Vf / (I × t)
Assuming fault clearance time (t) to be 0.01 sec
Maximum Rate of Rise of RV = 9559.3 / (7500 × 0.01)
Maximum Rate of Rise of RV = 12745 V/μ sec

Therefore, the maximum rate of rise of RV is 12745 V/μ sec, which is closest to option A (2789 V/μ sec).
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Community Answer
A 50 Hz, 3- Φ synchronous generator has an inductance per phase of 1....
Given :
Reactance,
Reactance voltage (RMS) = Short circuit current reactance
=7500*0.55=4125V
Rate of Rise of Restriking Voltage is given by,
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A 50 Hz, 3- Φ synchronous generator has an inductance per phase of 1.75 mH and its neutral is grounded. It feeds a line through CB. The total stray capacitance to ground of the generator and CB is 0.0025μF . A fault occurs just beyond the CB, which opens when the symmetrical SC current is 7500 A (rms). Maximum rate of rise of RV in V/μ sec isa)2789b)2500c)2300d)3000Correct answer is option 'A'. Can you explain this answer?
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