A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required. Hint: α > 30°.

A three-phase M-3 converter is operated from a 3-phase, 230 V, 50 Hz supply with load resistance R = 10 Ω. Find the value of firing angle if an average output voltage of 50% of the maximum possible output voltage is required. Hint: α > 30°. Correct Answer 67.7°

We need , Vo = 0.5 Vom. α>30° hence we use the equation Vo = (3√3/2π) x Vmp x √3Vmp = Vml = √2×230 Therefore, Vo = (3/2π) x √3 Vml x = 0.5Vom (1/√3) x = Vo x 2π/3Vml = Vo/Vom = 1/2 α = 67.7°.
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