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GATE Electrical 2015 Set 2 | Question: 17

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

$\begin{bmatrix}
-j6 &j3  &j4 \\ 
 j3&-j7  &j5 \\ 
 j4& j5 & -j8
\end{bmatrix}$ pu.

If the shunt capacitance of all transmission lines is $50\%$ compensated, the imaginary part of the $3^{rd}$ row $3^{rd}$ column element (in pu) of the bus admittance matrix after compensation is

  1. $−j7.0$ 
  2. $−j8.5$ 
  3. $−j7.5$ 
  4. $−j9.0$

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