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A single phase half wave controlled rectifier is a thryristor based circuit which produces output voltage for positive half of the supply voltage. However, the phase relationship between the initiation of load current and supply voltage can be controlled by changing firing angle. This is the reason; it is called phase controlled half wave rectifier.
The circuit diagram of a single phase half wave controlled rectifier with RL load is shown below. This circuit consists of a thyristor T, source Vs and RL load. The output voltage is the voltage across the load and shown as Vo. Output current is the current through the load and shown as io.
Calculation of Steady Load Current
Steady state load current for single phase half wave controlled rectifier is given as below.
Here, ∅ is the angle by which rms current I0. lags behind the rms load voltage V0.
Calculation of Average Load Voltage and Current:
Calculation of RMS Load Voltage