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A 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration is
- a)337.5 electrical degree / sec2
- b)245.45 elect degree / sec2
- c)272.3 elect degree / sec2
- d)350.05 elect degree / sec2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inerti...
Since we know that swing equation 
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M = 10M/MM/AW5 = 2лf = 2 x lEo x 50 elect degree /sec
Rating of = S = 110MVAPmech = 100mw
Machine P = 70mw
Most Upvoted Answer
A 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inerti...
Calculation of Rotor Acceleration:
Given data:
- Frequency (f) = 50 Hz
- Number of poles (p) = 4
- Rated power (P) = 110 MVA
- Rated voltage (V) = 112 kV
- Inertia constant (H) = 10 MJ/MVA
- Initial mechanical input (P1) = 70 MW
- Final mechanical input (P2) = 100 MW
Formula to calculate rotor acceleration:
Rotor acceleration (α) = (P2 - P1) * 1000 / (2 * π * f * p * H)
Calculation:
Convert the rated power to MW:
P = 110 MVA = 110000 MW
Substitute the values into the formula:
α = (100 - 70) * 1000 / (2 * 3.14 * 50 * 4 * 10)
α = 30000 / (3140 * 200)
α ≈ 30000 / 628000
α ≈ 0.0478 rad/sec^2
Convert radians to electrical degrees:
1 rad = 57.296°
α ≈ 0.0478 * 57.296
α ≈ 2.736°/sec^2
Therefore, the rotor acceleration is approximately 2.736 electrical degrees/sec^2, which is closest to option 'B' (245.45 elect degree/sec^2).
Given data:
- Frequency (f) = 50 Hz
- Number of poles (p) = 4
- Rated power (P) = 110 MVA
- Rated voltage (V) = 112 kV
- Inertia constant (H) = 10 MJ/MVA
- Initial mechanical input (P1) = 70 MW
- Final mechanical input (P2) = 100 MW
Formula to calculate rotor acceleration:
Rotor acceleration (α) = (P2 - P1) * 1000 / (2 * π * f * p * H)
Calculation:
Convert the rated power to MW:
P = 110 MVA = 110000 MW
Substitute the values into the formula:
α = (100 - 70) * 1000 / (2 * 3.14 * 50 * 4 * 10)
α = 30000 / (3140 * 200)
α ≈ 30000 / 628000
α ≈ 0.0478 rad/sec^2
Convert radians to electrical degrees:
1 rad = 57.296°
α ≈ 0.0478 * 57.296
α ≈ 2.736°/sec^2
Therefore, the rotor acceleration is approximately 2.736 electrical degrees/sec^2, which is closest to option 'B' (245.45 elect degree/sec^2).
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A 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration isa)337.5 electrical degree / sec2b)245.45 elect degree / sec2c)272.3 elect degree / sec2d)350.05 elect degree / sec2Correct answer is option 'B'. Can you explain this answer?
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A 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration isa)337.5 electrical degree / sec2b)245.45 elect degree / sec2c)272.3 elect degree / sec2d)350.05 elect degree / sec2Correct 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 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration isa)337.5 electrical degree / sec2b)245.45 elect degree / sec2c)272.3 elect degree / sec2d)350.05 elect degree / sec2Correct 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 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration isa)337.5 electrical degree / sec2b)245.45 elect degree / sec2c)272.3 elect degree / sec2d)350.05 elect degree / sec2Correct answer is option 'B'. Can you explain this answer?.
A 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration isa)337.5 electrical degree / sec2b)245.45 elect degree / sec2c)272.3 elect degree / sec2d)350.05 elect degree / sec2Correct 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 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration isa)337.5 electrical degree / sec2b)245.45 elect degree / sec2c)272.3 elect degree / sec2d)350.05 elect degree / sec2Correct 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 50 Hz, 4 pole Turbogenerator rated at 110 MVA, 112 KV has an inertia consultant of 10 MJ/MVA. Mechanical input is suddenly rise to 100 MW from 70 MW then the rotor acceleration isa)337.5 electrical degree / sec2b)245.45 elect degree / sec2c)272.3 elect degree / sec2d)350.05 elect degree / sec2Correct answer is option 'B'. Can you explain this answer?.
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