GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 40 of 65

Marks: +1, -0

A single-phase fully-controlled thyristor converter is used to obtain an average voltage of

180 {V}

with

10 {A}

constant current to feed a DC load. It is fed from single-phase AC supply of

230 {V}, 50 {Hz}

. Neglect the source impedance. The power factor (round off to two decimal places) of

{AC}

mains is__________.

Solution:

1-ϕ

full wave rectifier

{V}_{0}=180 {V}

{I}_{0}=10 {A}

{V}_{0}=\;{2 {V}_{ {m}}}/{π} \cos α

180=\;{2 × 230 √{2}}/{π} \cos α=(0.9 \cos α) 230

0.9 \cos α=\;{180}/{230}=0.7826

Power factor

=0.9 \cos α=0.7826

lag

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