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Question

A bus power system network consists of 3 transmission line. The bus admittance matrix of the uncompensated system is
j6j3j4j3j7j5j4j5j8p.u.
If the shunt capacitance of all the transmission lines is 50% compensated, the imaginary part of 3rd row 3rd column element in p.u. of the bus admittance matrix after compensation is

A
-j7
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B
-j8.5
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C
-j7.5
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D
-j9
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Solution

The correct option is B -j8.5

y31+y32+y30=j8

j4j5+y30=j8

y30=j1

After compensationn of 50%

y30=j1×0.5
New value = -j8 - j0.5
= -j 8.5


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