Post on 24-Nov-2015
description
Single-Phase Half-Wave Rectifier
Waveforms
Single-Phase Half-Wave Rectifier
Performance ParametersAverage value of the output voltage, VdcAverage value of the output current, IdcOutput dc power, PdcPdc = VdcIdcrms value of the output voltage, VrmsOutput ac power, PacPac = VrmsIrms
Performance Parameters (continued)Efficiency, = Pdc/PacEffective (rms) value of the ac component of the output voltage, VacVac = Vrms2 Vdc2Form factor, FFFF = Vrms/VdcRipple factor, RFRF = Vac/Vdc
Performance Parameters (continued)Alternate form for ripple factor
Transformer utilization factor, TUFTUF = Pdc/VsIsVs, Is are rms voltage and current of the transformer secondary
Input Voltage and Current
Performance Parameters (continued)Displacement angle, Displacement Factor, DFDF = cos()Harmonic Factor, HF
Performance Parameters (continued)Power Factor, PF
Performance Parameters (continued)Crest Factor, CF
Example 3.1Determine , FF, RF, TUF, PIV of the diode, CF of the input current, input PF.
Determine the Average Voltage, Vdc
Determine the rms Voltage, Vrms
Determine Pdc, Pac, and
Determine FF and RF
Determine the TUF
Determine the PIVPIV is the maximum (peak) voltage that appears across the diode when reverse biased. Here, PIV = Vm.
-++-PIV
Determine CF
Determine PF
Summary Half-Wave RectifierRF=121%HighEfficiency = 40.5LowTUF = 0.286Low1/TUF = 3.496transformer must be 3.496 times larger than when using a pure ac voltage source
Half-Wave Rectifier with R-L Load
Waveforms of Current and VoltageConduction period of D1 extends beyond t =
Average Output VoltageIncrease average voltage and current by making = 0
Waveforms with Dm installed
Application as a Battery ChargerDiode conducts for vs > E, starting when Vmsin = E
Waveforms for the Battery Charger
Diode turns off when vs < E (at = )Charging current io = (vs E)/Rio = (Vmsint E)/R for < t <
Single-Phase Full-Wave RectifierCenter-Tapped Transformer
Waveforms for the Full-Wave Rectifier
Single-Phase Full-Wave RectifierPIV = 2Vm
Full-Wave Bridge Rectifier
Waveforms for the Full-Wave Bridge
Full-Wave Bridge with WaveformsConduction patternD1 D2 D3 D4PIV = Vm
*********************************