1
GATE EE 2004
MCQ (Single Correct Answer)
+2
-0.6
The generalized circuit constants of a $$3$$-phase, $$220$$ $$kV$$ rated voltage, medium length transmission line are $$A = D = 0.936 + j\,0.016 = 0.936\angle {0.98^ \circ }$$
$$B = 33.5 + j138 = 142.0\angle {76.4^ \circ }\,\Omega $$
$$\,C = \left( { - 5.18 + j914} \right) \times \,{10^{ - 6}}\,\Omega $$
If the load at the receiving end is $$50$$ MW at $$220$$ $$kV$$ with a power factor of 0.9 lagging, then magnitude of line to line sending end voltage should be
A
$$133.23$$ $$kV$$
B
$$220.00$$ $$kV$$
C
$$230.78$$ $$kV$$
D
$$246.30$$ $$kV$$
2
GATE EE 2004
MCQ (Single Correct Answer)
+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
$$189.0$$
3
GATE EE 2004
MCQ (Single Correct Answer)
+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
4
GATE EE 2004
MCQ (Single Correct Answer)
+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
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