1
GATE EE 2004
+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
+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 2003
+2
-0.6
A balanced delta connected load of $$\left( {8 + j6} \right)\Omega$$ per phase is connected to a $$400$$ $$V$$, $$50$$ $$Hz$$, $$3-$$phase supply lines. If the input power factor is to be improved to $$0.9$$ by connecting a bank of star connected capacitors the required KVAR of the bank is
A
$$42.7$$
B
$$10.2$$
C
$$28.8$$
D
$$39.4$$
4
GATE EE 2003
+2
-0.6
The ABCD parameters of a $$3$$-phase overhead transmission line are $$\,A = D = 0.9\angle {0^ \circ }.\,\,B = 200\,\angle {90^ \circ }\,\,\Omega \,\,\,$$ and $$\,\,C = 0.95\, \times \,\,{10^{ - 3}}\angle {90^ \circ }\,\,S.\,\,\,\,$$ At no-load condition, a shunt inductive reactor is connected at the receiving end of the line to limit the receiving end voltage to be equal to the sending-end voltage. The ohmic value of the reactor is
A
$$\infty \Omega$$
B
$$2000\,\Omega$$
C
$$105.26\,\Omega$$
D
$$1052.6\,\Omega$$
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