Question:
A single-phase half-controlled bridge converter supplies an inductive load with ripple-free load current. The triggering angle of the converter is \( 60^\circ \). The ratio of the rms value of the fundamental component of the input current to the rms value of the total input current of the bridge is (rounded off to 3 decimal places).
A single-phase half-controlled bridge converter supplies an inductive load with ripple-free load current. The triggering angle of the converter is \( 60^\circ \). The ratio of the rms value of the fundamental component of the input current to the rms value of the total input current of the bridge is (rounded off to 3 decimal places).
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For bridge converters, use Fourier analysis to separate fundamental and harmonic components accurately.
Updated On: Feb 3, 2026
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Solution and Explanation
Step 1: Calculate the fundamental rms component.
Using Fourier series analysis, determine the rms value of the fundamental current component.
Step 2: Calculate the total rms current.
The total rms current includes all harmonics. Use the formula for the ratio:
\[
\text{Ratio} = \frac{\text{Fundamental rms component}}{\text{Total rms current}}.
\]
After calculations:
\[
\text{Ratio} = 0.940 \, \text{to} \, 0.970.
\]
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