AC to DC Converters Solved Example

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A single-phase AC voltage converter has the following details −

ON time = 6 min, OFF time = 4 min, frequency = 50Hz, and

Voltage source V_o = 110V

Calculate the following.

Triggering angle α

Solution −

$T=2\times \left ( T_{ON}+T_{OFF} \right )$ but $f=50Hz,$ $T=2\times \left ( 6+4 \right )=20mins$

$360^{\circ}=20min,$ $1min=18^{\circ}$

Therefore, $T_{OFF}=4min$

Then,

$$\alpha =\frac{4}{0.1}\times 1.8=72^{\circ}$$

Voltage Output

Solution −

$$V_{0}=\left ( V_{S}\times D \right ),\quad where \quad D=\frac{T_{ON}}{T_{ON}+T_{OFF}}=\frac{6}{10}=0.6$$ $$T_{ON}=6min,\quad T_{OFF}=4 min,\quad V_{S}=110V$$ $$V_{0}\left ( Voltage Output \right )=V_{S}\times D=110\times 0.6=66Volts$$