GATE Electrical Engineering (EE) 2018 Solved Paper

Question : 17 of 65

Marks: +1, -0

The waveform of the current drawn by a semi-converter from a sinusoidal AC voltage source is shown in the figure. If

I_{0}=20 {A}

, the rms value of fundamental component of the current is A (up to 2 decimal places).

Solution:

i_{s 1}=\;{4 I_{0}}/{π} \cos \;{α}/{2}

I_{s 1}( {rms})=\;{2 √{2}}/{π} I_{0} ⋅ \cos \;{α}/{2}

=\;{2 √{2}}/{π} × 20 × \cos (\;{30^{∘}}/{2})=17.39 {A}

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