1
GATE EE 2013
+2
-0.6
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very small, and the line resistance are negligible. All the line reactances are equal to $$j1\Omega .$$

The voltage phase angles in rad at buses $$2$$ and $$3$$ are

A
$${\theta _2} = - 0.1,\,\,\,{\theta _3} = - 0.2$$
B
$${\theta _2} = 0,\,\,\,{\theta _3} = - 0.1$$
C
$${\theta _2} = 0.1,\,\,\,{\theta _3} = 0.1$$
D
$${\theta _2} = 0.1,\,\,\,{\theta _3} = 0.2$$
2
GATE EE 2013
+2
-0.6
For a power system network with $$n$$ nodes, $${Z_{33}}$$ of its bus impedance matrix is $$j0.5$$ per unit. The voltage at mode $$3$$ is $$1.3\angle - {10^0}\,\,$$ per unit. If a capacitor having reactance of $$-j3.5$$ per unit is now added to the network between node $$3$$ and the reference node, the current drawn by the capacitor per unit as
A
$$0.325\angle - {100^0}$$
B
$$0.325\angle - {80^0}$$
C
$$0.371\angle - {100^0}$$
D
$$0.433\angle - {80^0}$$
3
GATE EE 2013
+2
-0.6
In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very small, and the line resistance are negligible. All the line reactances are equal to $$j1\Omega .$$

If the base impedance and the line-to-line base voltage are $$100\Omega$$ and $$\,100kV,\,\,$$ respectively, then the real power in MW delivered by the generator connected at the slack bus is

A
$$-10$$
B
$$0$$
C
$$10$$
D
$$20$$
4
GATE EE 2011
+2
-0.6
A three–bus network is shown in the figure below indicating the p.u. impedances of each element

The bus admittance matrix, $$Y$$-$$bus,$$ of the network is

A
$$j\left[ {\matrix{ {0.3} & { - 0.2} & 0 \cr { - 0.2} & {0.12} & {0.08} \cr 0 & {0.08} & {0.02} \cr } } \right]$$
B
$$j\left[ {\matrix{ { - 15} & 5 & 0 \cr 5 & {7.5} & { - 12.5} \cr 0 & { - 12.5} & {2.5} \cr } } \right]$$
C
$$j\left[ {\matrix{ {0.1} & {0.2} & 0 \cr {0.2} & {0.12} & { - 0.08} \cr 0 & { - 0.08} & {0.10} \cr } } \right]$$
D
$$j\left[ {\matrix{ { - 10} & 5 & 0 \cr 5 & {7.5} & {12.5} \cr 0 & {12.5} & { - 10} \cr } } \right]$$
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