GATE EE 2018 Set 1 — Question 59
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Power Electronics → AC-DC Converters → Semi & Full Converters (1φ)
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Question
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 , where volts and is the firing angle. If the power delivered to the lossless battery is 1600 W, in degree is________ (up to 2 decimal places).
Correct answer
90 to 90
Solution
Given:
V
Power delivered to the battery W
From the circuit, V
A
The average output voltage is also given by:
(since average voltage across the inductor is zero in steady state)
V
Equating the two expressions for :
Thus, the firing angle is .
V
Power delivered to the battery W
From the circuit, V
A
The average output voltage is also given by:
(since average voltage across the inductor is zero in steady state)
V
Equating the two expressions for :
Thus, the firing angle is .
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