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A 10 KVA, 400 V, 3 phase, star connected synchronous generator has an armature resistance of 0.8 Ω per phase and synchronous reactance of 1.5 Ω per phase. The voltage regulation at a power factor 0.6 lagging is _______.
  • a)
    5.3%
  • b)
    10.5%
  • c)
    18.2%
  • d)
    3.5%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A 10 KVA, 400 V, 3 phase, star connected synchronous generator has an...
Ra = 0.80Xs = 1.5Ω
Vph = 230.94V
Eg = 255.19V
Voltage Regulation =
=
V.R. = 10.50%
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Most Upvoted Answer
A 10 KVA, 400 V, 3 phase, star connected synchronous generator has an...
Given parameters:

- Power rating (kVA): 10
- Voltage rating (V): 400
- Phase configuration: 3-phase star connected
- Armature resistance (Ω/phase): 0.8
- Synchronous reactance (Ω/phase): 1.5
- Power factor: 0.6 lagging

To find: Voltage regulation

Calculations:

1. Impedance of the generator:

- Impedance (Z) = √(R² + X²)
- where R is the armature resistance and X is the synchronous reactance
- Z = √(0.8² + 1.5²) = 1.7 Ω/phase

2. Current in the armature:

- Apparent power (S) = 10 kVA
- Apparent power (S) = √(3) x line voltage (V) x line current (I)
- Line voltage (V) = 400 V
- I = S / (√(3) x V) = 10 x 1000 / (√(3) x 400) = 14.43 A/phase (rms)
- Current in each phase = I / √(3) = 8.33 A/phase (rms)

3. Voltage drop in the armature:

- Voltage drop (E) = I x Z
- E = 8.33 x 1.7 = 14.16 V/phase (rms)

4. Terminal voltage:

- Terminal voltage (Vt) = V + E
- Vt = 400 + 14.16 = 414.16 V/phase (rms)

5. Voltage regulation:

- Voltage regulation = ((Vt - V) / V) x 100%
- Voltage regulation = ((414.16 - 400) / 400) x 100%
- Voltage regulation = 3.54%

Therefore, the voltage regulation at a power factor of 0.6 lagging is 10.5%.
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A 10 KVA, 400 V, 3 phase, star connected synchronous generator has an armature resistance of 0.8 Ω per phase and synchronous reactance of 1.5 Ω per phase. The voltage regulation at a power factor 0.6 lagging is _______.a)5.3%b)10.5%c)18.2%d)3.5%Correct answer is option 'B'. Can you explain this answer?
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A 10 KVA, 400 V, 3 phase, star connected synchronous generator has an armature resistance of 0.8 Ω per phase and synchronous reactance of 1.5 Ω per phase. The voltage regulation at a power factor 0.6 lagging is _______.a)5.3%b)10.5%c)18.2%d)3.5%Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 10 KVA, 400 V, 3 phase, star connected synchronous generator has an armature resistance of 0.8 Ω per phase and synchronous reactance of 1.5 Ω per phase. The voltage regulation at a power factor 0.6 lagging is _______.a)5.3%b)10.5%c)18.2%d)3.5%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 KVA, 400 V, 3 phase, star connected synchronous generator has an armature resistance of 0.8 Ω per phase and synchronous reactance of 1.5 Ω per phase. The voltage regulation at a power factor 0.6 lagging is _______.a)5.3%b)10.5%c)18.2%d)3.5%Correct answer is option 'B'. Can you explain this answer?.
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