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A 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)
Correct answer is between '5.3,5.6'. Can you explain this answer?
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Verified Answer
A 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero se...
Given that, Z1 = 0.2 pu
Z2 = 0.15 pu
Z0 = 0.05 pu
Zn = 0.05 pu
For a G fault, fault current is given by
Z2 = 0.15 pu
Z0 = 0.05 pu
Zn = 0.05 pu
For a G fault, fault current is given by
Most Upvoted Answer
A 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero se...
Given data:
- Generator voltage: 30 kV
- Generator frequency: 50 Hz
- Positive sequence reactance: 0.2 pu
- Negative sequence reactance: 0.15 pu
- Zero sequence reactance: 0.05 pu
- Generator ground reactance: 0.05 pu
Calculating fault current magnitude:
Step 1: Calculate the per unit fault current:
The per unit fault current can be calculated using the following formula:
Ipu = (Vpu / (Xpu + X0pu))
Where,
- Ipu = Per unit fault current
- Vpu = Per unit generator voltage
- Xpu = Per unit positive sequence reactance
- X0pu = Per unit zero sequence reactance
Substituting the given values, we get:
Ipu = (1 / (0.2 + 0.05))
Ipu = 1 / 0.25
Ipu = 4
Step 2: Convert the per unit fault current to actual fault current magnitude:
To convert the per unit fault current to actual fault current magnitude, we need to multiply it by the base MVA and divide by the generator MVA.
The base MVA is calculated using the following formula:
Base MVA = (Generator voltage^2) / (Generator MVA)
Let's assume the generator MVA is 100 MVA. Substituting the given values, we get:
Base MVA = (30,000^2) / 100
Base MVA = 9,000,000 / 100
Base MVA = 90,000
Now, we can calculate the actual fault current magnitude:
Iactual = (Ipu * Base MVA) / Generator MVA
Iactual = (4 * 90,000) / 100
Iactual = 360,000 / 100
Iactual = 3600 A
Therefore, the fault current magnitude for a single line to ground fault is 3600 A, which is approximately 5.3 pu.
Conclusion:
The fault current magnitude for a single line to ground fault in the given system is approximately 5.3 pu.
- Generator voltage: 30 kV
- Generator frequency: 50 Hz
- Positive sequence reactance: 0.2 pu
- Negative sequence reactance: 0.15 pu
- Zero sequence reactance: 0.05 pu
- Generator ground reactance: 0.05 pu
Calculating fault current magnitude:
Step 1: Calculate the per unit fault current:
The per unit fault current can be calculated using the following formula:
Ipu = (Vpu / (Xpu + X0pu))
Where,
- Ipu = Per unit fault current
- Vpu = Per unit generator voltage
- Xpu = Per unit positive sequence reactance
- X0pu = Per unit zero sequence reactance
Substituting the given values, we get:
Ipu = (1 / (0.2 + 0.05))
Ipu = 1 / 0.25
Ipu = 4
Step 2: Convert the per unit fault current to actual fault current magnitude:
To convert the per unit fault current to actual fault current magnitude, we need to multiply it by the base MVA and divide by the generator MVA.
The base MVA is calculated using the following formula:
Base MVA = (Generator voltage^2) / (Generator MVA)
Let's assume the generator MVA is 100 MVA. Substituting the given values, we get:
Base MVA = (30,000^2) / 100
Base MVA = 9,000,000 / 100
Base MVA = 90,000
Now, we can calculate the actual fault current magnitude:
Iactual = (Ipu * Base MVA) / Generator MVA
Iactual = (4 * 90,000) / 100
Iactual = 360,000 / 100
Iactual = 3600 A
Therefore, the fault current magnitude for a single line to ground fault is 3600 A, which is approximately 5.3 pu.
Conclusion:
The fault current magnitude for a single line to ground fault in the given system is approximately 5.3 pu.
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A 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)Correct answer is between '5.3,5.6'. Can you explain this answer?
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A 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)Correct answer is between '5.3,5.6'. 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 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)Correct answer is between '5.3,5.6'. 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 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)Correct answer is between '5.3,5.6'. Can you explain this answer?.
A 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)Correct answer is between '5.3,5.6'. 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 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)Correct answer is between '5.3,5.6'. 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 30 kV, 50 Hz, 60 MVZ generator has the positive negative and zero sequence reactance of 0.2 pu, 0.15 pu and 0.05 pu respectively. The generator ground with a reactance of 0.05 pu. The fault current magnitude for a single line to ground fault is ________(in pu)Correct answer is between '5.3,5.6'. Can you explain this answer?.
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