GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 24 of 65

Marks: +1, -0

The output voltage of a single-phase full bridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms component of output voltage to be

75 \%

of DC voltage, the required pulse width in degrees (round off up to one decimal place) is __________.

Your Answer:

Validate

Solution:

1-ϕ

full bridge inverter operating with unipolar PWM and one pulse per half cycle. It is a single pulse modulation

{V}_{0}=∑↙{ {n}=1,3}^{∞}\{\;{4 {V}_{ {s}}}/{ {n} π} \sin \;{ {n} π}/{2} \sin {nd}\} \sin {n} ω {t}

RMS value of fundamental component

( {v}_{0} 1)=\{\;{4 {V}_{ {s}}}/{π} × \sin \;{π}/{2} × \sin {d}\} \;{1}/{√{2}}

0.75 {V}_{ {s}}=\;{4 {V}_{ {s}}}/{π} × 1 × \sin {d} × \;{1}/{√{2}}

⇒ \sin {d}=\;{0.75 × π √{2}}/{4}=0.833

{d}=56.4^{∘}

width of pulse

(2 {d})=112.8^{∘}

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