1
GATE EE 2004
+2
-0.6
A $$110$$ $$kV,$$ single core coaxial, XLPE insulated power cable delivering power at $$50$$ $$Hz,$$ has a capacitance of $$125$$ $$nF/km.$$ If the dielectric loss tangent of XLPE is $$\,2\,\, \times \,\,{10^{ - 4}},$$ the dielectric power loss in this cable in $$W/km$$ is
A
$$5.0$$
B
$$31.7$$
C
$$37.8$$
D
$$189.0$$
2
GATE EE 2004
+2
-0.6
A 50 Hz, 4-pole, 500 MVA, 22 kV turbo-generator is delivering rated megavolt-amperes at 0.8 power factor. Suddenly a fault occurs reducing is electric power output by 40%. Neglect losses and assume constant power input to the shaft. The accelerating torque in the generator in MNm at the time of fault will be
A
1.528
B
1.018
C
0.840
D
0.509
3
GATE EE 2004
+2
-0.6
A $$3$$-phase generator rated at $$110$$ MVA, $$11$$ kV is connected through circuit breakers to a transformer. The generator is having direct axis sub-transient reactance $$X'{'_d} = 19\% ,\,\,$$ transient reactance $$X{'_d} = 26\% \,\,$$ and synchronous reactance $$=130$$%. The generator is operating at no load and rated voltage when a three phase short circuit fault occurs between the breakers and the transformer. The magnitude of initial symmetrical rims current in the breakers will be
A
$$4.44$$ kA
B
$$22.20$$ kA
C
$$30.39$$ kA
D
$$38.45$$ kA
4
GATE EE 2004
+2
-0.6
A 3-phase transmission line supplies $$\Delta -$$ connected load Z. The conductor $$'c'$$ of the line develops an open circuit fault as shown in figure. The currents in the lines are as shown on the diagram. The +ve sequence current component in line 'a' will be
A
$$5.78\,\angle \, - {30^ \circ }$$
B
$$5.78\,\angle \, - {90^ \circ }$$
C
$$6.33\,\angle \, - {90^ \circ }$$
D
$$10.00\,\angle \, - {30^ \circ }$$
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