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In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration.
  • a)
    the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes increases by two
  • b)
    the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes increases by two
  • c)
    the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes decreases by two
  • d)
    the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by two
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a 100 bus power system, there are 10 generators. In a particular it...
Total No. of buses = 100
Generator bus = 10 -1 = 9
Load busses = 90
Slack bus = 1
If 2 buses are converted to PQ from PV it will add 2 unknown voltages to iteration but unknown angles remains constant.
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Most Upvoted Answer
In a 100 bus power system, there are 10 generators. In a particular it...
Explanation:

In a power system, the Newton Raphson load flow technique is used to solve the power flow equations and determine the unknown voltage angles and magnitudes at each bus. The technique iteratively solves the power flow equations until convergence is achieved.

In this particular iteration, two PV buses are converted to PQ type. Let's analyze the impact of this conversion on the unknown voltage angles and magnitudes.

Unknown Voltage Angles:
The unknown voltage angles represent the phase angles of the voltages at each bus. In the Newton Raphson load flow technique, the number of unknown voltage angles is equal to the number of buses in the system.

In a 100 bus power system, the initial number of unknown voltage angles is 100.

When two PV buses are converted to PQ type, the number of unknown voltage angles remains unchanged. This is because the conversion from PV to PQ type only affects the voltage magnitudes, not the phase angles.

Therefore, the number of unknown voltage angles remains unchanged.

Unknown Voltage Magnitudes:
The unknown voltage magnitudes represent the amplitudes of the voltages at each bus. In the Newton Raphson load flow technique, the number of unknown voltage magnitudes is equal to the number of PV and swing buses in the system.

In a 100 bus power system with 10 generators, the initial number of unknown voltage magnitudes is 10 (corresponding to the PV buses).

When two PV buses are converted to PQ type, the number of unknown voltage magnitudes increases by two. This is because the converted PQ buses now have unknown voltage magnitudes that need to be determined.

Therefore, the number of unknown voltage magnitudes increases by two.

Conclusion:
Based on the analysis above, the correct answer is option B - the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes increases by two.
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In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration.a)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes increases by twob)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes increases by twoc)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes decreases by twod)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by twoCorrect answer is option 'B'. Can you explain this answer?
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In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration.a)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes increases by twob)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes increases by twoc)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes decreases by twod)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by twoCorrect 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 In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration.a)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes increases by twob)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes increases by twoc)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes decreases by twod)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by twoCorrect 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 In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration.a)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes increases by twob)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes increases by twoc)the number of unknown voltage angles increases by two and the number of unknown voltage magnitudes decreases by twod)the number of unknown voltage angles remains unchanged and the number of unknown voltage magnitudes decreases by twoCorrect answer is option 'B'. Can you explain this answer?.
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