Question

A single-phase, full bridge fully controlled converter is feeding a load of resistance $10\Omega$ in series with large inductance. The converter has 230 V, 50 Hz, sinusoidal supply connected to it with the help of cables having negligible resistance and total inductance of 2.28 mH. The average load current in Amperes when thyristors are fired at $\alpha =45°$ will be (up to 2 decimal places).

Answer 1

$For1-\varphi$ bridge controlled converter
$At\alpha =45°,R=10\Omega$

When supply voltage is 230V, 50 Hz

$L_s=2.28mH$

$V_0=\frac{2V_m}{\pi }cos\alpha -4f{l}_s{I}_0$
$I_{0}R=\frac{2V_m}{\pi }cos\alpha -4f{l}_s{I}_0$
$I_0\left(10\right)=\frac{2\times 230\times \sqrt{2}}{\pi }cos45°-4\times 50\times 2.28\times {10}^{-3}{I}_0$
$I_0\left(10.456\right)=146.42$
$I_0=\frac{146.42}{10.456}=14.003A$