GATE EE 2019 Set 1 — Question 31
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Question
The matrix of a two-bus power system having two identical parallel lines connected between them in pu is given asThe magnitude of the series reactance of each line in pu (round off to one decimal place) is ________.
Correct answer
0.095 to 0.105
Solution
In a matrix, the off-diagonal element is the negative of the total series admittance between bus 1 and bus 2.
Since there are two identical parallel lines, the total admittance is the sum of the admittances of the individual lines:
The series reactance of each line is the reciprocal of its admittance:
The magnitude of the series reactance is .
Since there are two identical parallel lines, the total admittance is the sum of the admittances of the individual lines:
The series reactance of each line is the reciprocal of its admittance:
The magnitude of the series reactance is .
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