This post tells about the single-phase half-wave rectifier, it waveforms and characteristics. A single-phase half-wave rectifier circuit is depicted below. This rectifier has a resistive load. This rectifier is the simplest form of diode single-phase rectifiers.

single-phase half-wave rectifier

Figure 1. Single-phase half-wave rectifier circuit.

During the positive part the sinus signal diode conducts, during the negative part the sinus signal diode stops conducting.  Let’s assume  that the voltage transformer is vT=vmaxsin(ωt), and the resistor voltage and resistance are vR and R, diode voltage is vd. Then the wave forms for the diode are the following:

Figure 2. Voltage and current for the diode of the single-phase half-wave rectifier.

The resulting voltage and current of single-phase half-wave rectifier is  vDC=1T0Tvmaxsinωtdt=0.318vmax, vDCR=IDC.

RMS is rmsv=1T0T (vmaxsinωt)2dt=0.5vmax rmsi=vmax2R .
Rectification ratio (maximum conversion ration) is η=PDCPR=vDCiDcvRiR=40.5%.Form-factor FF=vDCvL=1.57 .
Ripple factor RF=vACvDC=FF21=1.21.
Transformer utilisation factor TUF=2vDCvACvmaximax=0.286
Digi-Key Electronics offers a great selection of single-phase half-wave rectifiers.