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A lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to 80% of its length by a distance relay placed at the generator bus. The generator terminal voltage is 1 pu. There is no generation at the load bus. The threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is closest to:
  • a)
    1.00
  • b)
    5.00
  • c)
    3.61
  • d)
    6.25
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A lossless transmission line with 0.2 pu reactance per phase uniformly...

= 5 pu for 100% of line

Relay is operated for 80%
Zf =0.8 Zl ⇒ 0.8 × 0.2 = 0.16 p.u.
For 80% of line, 
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A lossless transmission line with 0.2 pu reactance per phase uniformly...
Calculation of Threshold Pu Current for Operation of Distance Relay

Given data:
- Reactance per phase of the transmission line = 0.2 pu
- Length of the transmission line = 1 pu
- Distance relay protection coverage = 80% of the line length = 0.8 pu
- Generator terminal voltage = 1 pu
- No generation at the load bus

Formula:
The threshold pu current for operation of the distance relay can be calculated using the following formula:
Threshold pu current = (0.8 * Generator terminal voltage) / (Transmission line reactance per phase)

Calculation:
- Transmission line reactance per phase = 0.2 pu
- Distance relay protection coverage = 0.8 pu
- Generator terminal voltage = 1 pu

Threshold pu current = (0.8 * 1 pu) / (0.2 pu) = 4 pu

Therefore, the closest option to the threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is D) 6.25.
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A lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to 80% of its length by a distance relay placed at the generator bus. The generator terminal voltage is 1 pu. There is no generation at the load bus. The threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is closest to:a)1.00b)5.00c)3.61d)6.25Correct answer is option 'D'. Can you explain this answer?
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A lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to 80% of its length by a distance relay placed at the generator bus. The generator terminal voltage is 1 pu. There is no generation at the load bus. The threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is closest to:a)1.00b)5.00c)3.61d)6.25Correct answer is option 'D'. 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 lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to 80% of its length by a distance relay placed at the generator bus. The generator terminal voltage is 1 pu. There is no generation at the load bus. The threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is closest to:a)1.00b)5.00c)3.61d)6.25Correct answer is option 'D'. 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 lossless transmission line with 0.2 pu reactance per phase uniformly distributed along the length of the line, connecting a generator bus to a load bus, is protected up to 80% of its length by a distance relay placed at the generator bus. The generator terminal voltage is 1 pu. There is no generation at the load bus. The threshold pu current for operation of the distance relay for a solid three phase-to-ground fault on the transmission line is closest to:a)1.00b)5.00c)3.61d)6.25Correct answer is option 'D'. Can you explain this answer?.
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