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If the initial acceleration power of a 100 MVA, 50 Hz synchronous generator having H= 5 MJ/MVA is Xpu, the initial acceleration in elec-deg/s2 and the inertia constant in M J-s/ele-deg respectively will be
- a)31.4X, 18
- b)1800X, 0.056
- c)X/1800, 0.056
- d)X/31.4, 18
Correct answer is option 'B'. Can you explain this answer?
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If the initial acceleration power of a 100 MVA, 50 Hz synchronous gene...
From swing equation,
Also, inertia constant,
Also, inertia constant,
Most Upvoted Answer
If the initial acceleration power of a 100 MVA, 50 Hz synchronous gene...
Solution:
Given parameters are:
Synchronous generator rating = 100 MVA
Frequency = 50 Hz
Inertia constant H = 5 MJ/MVA
Initial acceleration power = Xpu
We know that the formula for initial acceleration in electrical degrees per second square is given by:
θ'' = (Xpu × S) / (2H × f)
where,
Xpu = Initial acceleration power
S = Generator rating in MVA
H = Inertia constant in MJ/MVA
f = Frequency in Hz
θ'' = Initial acceleration in electrical degrees per second square
Now, substituting the given values in the above formula, we get:
θ'' = (Xpu × 100) / (2 × 5 × 50)
θ'' = (Xpu × 1) / (1 × 50)
θ'' = Xpu / 50
The formula for the inertia constant in MJ-s/electrical degree is given by:
H = (2πf × E'' × S) / (1000 × θ'')
where,
E'' = Induced emf per phase per unit synchronous reactance
S = Generator rating in MVA
θ'' = Initial acceleration in electrical degrees per second square
f = Frequency in Hz
H = Inertia constant in MJ/MVA
Now, substituting the given values in the above formula, we get:
H = (2π × 50 × 1 × 100) / (1000 × Xpu/50)
H = 1800Xpu
Therefore, the initial acceleration in electrical degrees per second square is 1800Xpu and the inertia constant in MJ-s/electrical degree is 0.056.
Hence, the correct answer is option B.
Given parameters are:
Synchronous generator rating = 100 MVA
Frequency = 50 Hz
Inertia constant H = 5 MJ/MVA
Initial acceleration power = Xpu
We know that the formula for initial acceleration in electrical degrees per second square is given by:
θ'' = (Xpu × S) / (2H × f)
where,
Xpu = Initial acceleration power
S = Generator rating in MVA
H = Inertia constant in MJ/MVA
f = Frequency in Hz
θ'' = Initial acceleration in electrical degrees per second square
Now, substituting the given values in the above formula, we get:
θ'' = (Xpu × 100) / (2 × 5 × 50)
θ'' = (Xpu × 1) / (1 × 50)
θ'' = Xpu / 50
The formula for the inertia constant in MJ-s/electrical degree is given by:
H = (2πf × E'' × S) / (1000 × θ'')
where,
E'' = Induced emf per phase per unit synchronous reactance
S = Generator rating in MVA
θ'' = Initial acceleration in electrical degrees per second square
f = Frequency in Hz
H = Inertia constant in MJ/MVA
Now, substituting the given values in the above formula, we get:
H = (2π × 50 × 1 × 100) / (1000 × Xpu/50)
H = 1800Xpu
Therefore, the initial acceleration in electrical degrees per second square is 1800Xpu and the inertia constant in MJ-s/electrical degree is 0.056.
Hence, the correct answer is option B.
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If the initial acceleration power of a 100 MVA, 50 Hz synchronous generator having H= 5 MJ/MVA is Xpu, the initial acceleration in elec-deg/s2 and the inertia constant in M J-s/ele-deg respectively will bea)31.4X,18b)1800X, 0.056c)X/1800, 0.056d)X/31.4, 18Correct answer is option 'B'. Can you explain this answer?
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If the initial acceleration power of a 100 MVA, 50 Hz synchronous generator having H= 5 MJ/MVA is Xpu, the initial acceleration in elec-deg/s2 and the inertia constant in M J-s/ele-deg respectively will bea)31.4X,18b)1800X, 0.056c)X/1800, 0.056d)X/31.4, 18Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the initial acceleration power of a 100 MVA, 50 Hz synchronous generator having H= 5 MJ/MVA is Xpu, the initial acceleration in elec-deg/s2 and the inertia constant in M J-s/ele-deg respectively will bea)31.4X,18b)1800X, 0.056c)X/1800, 0.056d)X/31.4, 18Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the initial acceleration power of a 100 MVA, 50 Hz synchronous generator having H= 5 MJ/MVA is Xpu, the initial acceleration in elec-deg/s2 and the inertia constant in M J-s/ele-deg respectively will bea)31.4X,18b)1800X, 0.056c)X/1800, 0.056d)X/31.4, 18Correct answer is option 'B'. Can you explain this answer?.
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