1
GATE EE 2015 Set 1
+2
-0.6
Determine the correctness or otherwise of the following Assertion (a) and the Reason (R).
Assertion (A): Fast decoupled load flow method gives approximate load flow solution because it uses several assumptions.
Reason (R): Accuracy depends on the power mismatch vector tolerance.
A
Both (A) and (R) are true and (R) is the correct reason for (A)
B
Both (A) and (R) are true but (R) is not the correct reason for (A)
C
Both (A) and (R) are false
D
(A) is false and (R) is true
2
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
$${\theta _2} = 0.1,\,\,\,{\theta _3} = 0.2$$
3
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
$$0.433\angle - {80^0}$$
4
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
$$20$$
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