1
GATE EE 2017 Set 2
+2
-0.6
The figure below shows a half-bridge voltage source inverter supplying an $$RL$$-load with $$R = 40\,\,\Omega$$ and $$L = \left( {{{0.3} \over \pi }} \right)H.$$ The desired fundamental frequency of the load voltage is $$50$$ $$Hz.$$ The switch control signals of the converter are generated using sinusoidal pulse width modulation with modulation index. $$M = 0.6.$$ at $$50$$ $$Hz$$, the$$RL$$-load draws an active power of $$1.44$$ $$kW.$$ The value of $$DC$$ source volts is
A
$$300\,\,\sqrt 2$$
B
$$500$$
C
$$500\,\,\sqrt 2$$
D
$$1000\,\,\sqrt 2$$
2
GATE EE 2017 Set 2
Numerical
+1
-0
The normal - $$\pi$$ circuit of a transmission line is shown in the figure.

Impedance $$Z = 100\angle {80^ \circ }$$ and reactance $$\,X = 3300\Omega .$$ The magnitude of the characteristic impedance of the transmission line, in $$\Omega ,$$ is ________. (Give the answer up to one decimal place.)

3
GATE EE 2017 Set 2
Numerical
+2
-0
A 3-phase 50 Hz generator supplies power of 3 MW at 17.32 kV to a balanced 3-phase inductive load through an overhead line. The per phase line resistance and reactance are 0.25 $$\Omega$$ and 3.925 $$\Omega$$ respectively. If the voltage at the generator terminal is 17.87 kV, the power factor of the load is ________.
4
GATE EE 2017 Set 2
Numerical
+2
-0
Consider an overhead transmission line with $$3$$-phase, $$50$$ $$Hz$$ balanced system with conductors located at the vertices of an equilateral triangle of length $$\,{D_{ab}} = {D_{bc}} = {D_{ca}} = 1\,\,\,$$ m as shown in figure below. The resistance of the conductors are neglected. The geometric mean radius (GMR) of each conductor is $$0.01$$ $$m$$. Neglect the effect of ground, the magnitude of positive sequence reactance in $$\,\Omega$$/$$km$$ (rounded off to three decimal places) is ________________.
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