A phase controlled single phase rectifier, supplied by an AC source, feeds power to an
R-L-E load as shown in the figure. The rectifier output voltage has an average value given
by $${V_0} = {{{V_m}} \over {2\pi }}\left( {3 + \cos \alpha } \right)$$, where $${V_m} = 80\pi $$ volts and $$\alpha $$ is the firing angle. If the power
delivered to the lossless battery is 1600 W, $$\alpha $$ in degree is________ (up to 2 decimal
places).
Your input ____
2
GATE EE 2018
MCQ (Single Correct Answer)
+1
-0.33
A single phase fully controlled rectifier is supplying a load with an anti-parallel diode as
shown in the figure. All switches and diodes are ideal. Which one of the following is true
for instantaneous load voltage and current?
A
$${v_0} \ge 0\,\,\& \,\,{i_0} < 0$$
B
$${v_0} < 0\,\,\& \,\,{i_0} < 0$$
C
$${v_0} \ge 0\,\,\& \,\,{i_0} \ge 0$$
D
$${v_0} < 0\,\,\& \,\,{i_0} \ge 0$$
3
GATE EE 2018
Numerical
+2
-0.67
The figure shows two buck converters connected in parallel. The common input dc voltage
for the converters has a value of 100 V. The converters have inductors of identical value.
The load resistance is 1 $$\Omega $$. The capacitor voltage has negligible ripple. Both converters
operate in the continuous conduction mode. The switching frequency is 1 kHz, and the
switch control signals are as shown. The circuit operates in the steady state. Assuming that
the converters share the load equally, the average value of $${i_{S1}}$$, the current of switch S1 (in
Ampere), is _____ (up to 2 decimal places).
Your input ____
4
GATE EE 2018
Numerical
+2
-0.67
A dc to dc converter shown in the figure is charging a battery bank, B2 whose voltage is
constant at 150 V. B1 is another battery bank whose voltage is constant at 50 V. The value
of the inductor, L is 5 mH and the ideal switch, S is operated with a switching frequency of
5 kHz with a duty ratio of 0.4. Once the circuit has attained steady state and assuming the
diode D to be ideal, the power transferred from B1 to B2 (in Watt) is ___________ (up to 2
decimal places).
