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A 3 – bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system is

If the shunt capacitance of all transmission lines is 50% compensated, the imaginary part of the 3rd row 3rd column element (in pu) of the bus admittance matrix after compensation is
  • a)
    -j7.0
  • b)
    -j8.5
  • c)
    -j7.5
  • d)
    -j9.0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A 3 – bus power system network consists of 3 transmission lines....
Concept:
For a 3 bus power system

For the above figure, the admittance matrix is as shown below.

Diagonal elements of the Bus Admittance matrix are known as self-admittances and the off-diagonal elements are known as mutual admittances.
Calculation:
Given bus admittance matrix of the uncompensated line is

By comparing the above matrix with standard 3 bus matrix
y13 = -j4
y32 = -j5
⇒ y31 + y32 + y33 = -j8
⇒ y33­ = j
After compensating, 
y33 = j/2
Y33(new) = -8.5 j.
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A 3 – bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system isIf the shunt capacitance of all transmission lines is 50% compensated, the imaginary part of the 3rd row 3rd column element (in pu) of the bus admittance matrix after compensation isa)-j7.0b)-j8.5c)-j7.5d)-j9.0Correct answer is option 'B'. Can you explain this answer?
Question Description
A 3 – bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system isIf the shunt capacitance of all transmission lines is 50% compensated, the imaginary part of the 3rd row 3rd column element (in pu) of the bus admittance matrix after compensation isa)-j7.0b)-j8.5c)-j7.5d)-j9.0Correct 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 A 3 – bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system isIf the shunt capacitance of all transmission lines is 50% compensated, the imaginary part of the 3rd row 3rd column element (in pu) of the bus admittance matrix after compensation isa)-j7.0b)-j8.5c)-j7.5d)-j9.0Correct 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 A 3 – bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system isIf the shunt capacitance of all transmission lines is 50% compensated, the imaginary part of the 3rd row 3rd column element (in pu) of the bus admittance matrix after compensation isa)-j7.0b)-j8.5c)-j7.5d)-j9.0Correct answer is option 'B'. Can you explain this answer?.
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