GATE Electrical Engineering (EE) 2020 Solved Paper

Question : 27 of 65

Marks: +1, -0

A single-phase, full-bridge rectifier fed from 230V, 50 Hz sinusoidal source supply a series combination of finite resistance ‘R’ and a very large inductance, L. The two most dominate frequency components in the source current are:

150 Hz, 250 Hz
50 Hz, 100 Hz
50 Hz, 0 Hz
50 Hz, 150 Hz

Validate

Solution:

Sol. In a single-phase full bridge diode rectifier, since load is a series combination of finite resistance (

R

) and a very high Inductance (

L

). Load current is constant (

I_{0}

) Source current is square wave form.

Fourier series representation of source current

{i}_{ {s}}( {f})=∑↙{ {n}=1,3,5}^{∞} \;{4 {I}_{0}}/{ {n} π} \sin n ω {t},{|}\table where;{ω={2 π}/{ {T}}

Two most dominant frequency
Components are

f, 3 f

[fundamental and third harmonics]

50 {Hz}, 150 {Hz}

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