1
GATE EE 2012
+2
-0.6
In the $$3$$-phase inverter circuit shown, the load is balanced and the gating scheme is $${180^ \circ }$$ -conduction mode. All the switching devices are ideal.

The $$rms$$ value of load phase voltage is

A
$$106.1$$ $$V$$
B
$$141.4$$ $$V$$
C
$$212.2$$ $$V$$
D
$$282.8$$ $$V$$
2
GATE EE 2012
+2
-0.6
For the system shown below, SD1 and SD2 are complex power demands at bus $$1$$ and bus $$2$$ respectively. If $$\left| {{V_2}} \right| = 1$$ pu, the VAR rating of the capacitor (QG2) connected at bus $$2$$ is
A
$$0.2$$ pu
B
$$0.268$$ pu
C
$$0.312$$ pu
D
$$0.4$$ pu
3
GATE EE 2012
+1
-0.3
The figure shows a two-generator system supplying a load of $${P_D} = 40\,MW,$$ connected at bus $$2.$$

The fuel cost of generators $${G_1}$$ and $${G_2}$$ are: $${C_1}\left( {{P_{G1}}} \right) = 10,000\,\,Rs/MWhr$$ and $${C_2}\left( {{P_{G2}}} \right) = 12,500\,\,Rs/MWhr$$ and the loss in the line is $$\,{P_{loss(pu)}} = 0.5\,\,P_{G1\left( {pu} \right),}^2\,\,\,\,$$ where the loss coefficient is specified in pu on a $$100$$ $$MVA$$ base. The most economic power generation schedule in $$MW$$ is

A
$${P_{G1}} = 20,\,{P_{G2}} = 22$$
B
$${P_{G1}} = 22,\,{P_{G2}} = 20$$
C
$${P_{G1}} = 20,\,{P_{G2}} = 22$$
D
$${P_{G1}} = 0,\,{P_{G2}} = 40$$
4
GATE EE 2012
+2
-0.6
A cylindrical rotor generator delivers $$0.5$$ pu power in the steady-state to an infinite bus through a transmission line of reactance $$0.5$$ pu. The generator no-load voltage is $$1.5$$ pu and the infinite bus voltage is $$1$$ pu. The inertia constant of the generator is $$5$$ $$MW-s/MVA$$ and the generator reactance is $$1$$ pu. The critical clearing angle, in degrees, for a three-phase dead short circuit fault at the generator terminal is
A
$$53.5$$
B
$$60.2$$
C
$$70.8$$
D
$$79.6$$
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