Power Electronics and Motor Drive Systems

2.9. Single-Phase Half-Wave Diode Rectifier With R–L Load

When the switch S in the circuit in Fig. 2.13(a) is closed, the diode becomes forward biased and according to the equivalent circuit in Fig. 2.13(b), the following equations hold:

vL+vR=vo=vi

(2.74)

Ldiodt+Rio=2V˜isinωtforα≤ωt≤β

(2.75)

The total circuit current that flows in the circuit is:

io=ii=iF+iN=2V˜isin(ωt−φ)|Zo|+Ae–(ωtωτ)for0≤ωt≤β

(2.76)

where φ=tan−1(ωLR);|Zo|=[R2+(ωL)2]1/2;τ=loadtimeconstant ...