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Single-Phase Half-Wave Rectifier

Single-Phase Half-Wave Rectifier. Waveforms. Single-Phase Half-Wave Rectifier. Performance Parameters. Average value of the output voltage, V dc Average value of the output current, I dc Output dc power, P dc P dc = V dc I dc rms value of the output voltage, V rms Output ac power, P ac

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Single-Phase Half-Wave Rectifier

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  1. Single-Phase Half-Wave Rectifier ECE 442 Power Electronics

  2. Waveforms ECE 442 Power Electronics

  3. Single-Phase Half-Wave Rectifier ECE 442 Power Electronics

  4. Performance Parameters • Average value of the output voltage, Vdc • Average value of the output current, Idc • Output dc power, Pdc • Pdc = VdcIdc • rms value of the output voltage, Vrms • Output ac power, Pac • Pac = VrmsIrms ECE 442 Power Electronics

  5. Performance Parameters (continued) • Efficiency, η • η = Pdc/Pac • Effective (rms) value of the ac component of the output voltage, Vac • Vac = Vrms2 – Vdc2 • Form factor, FF • FF = Vrms/Vdc • Ripple factor, RF • RF = Vac/Vdc ECE 442 Power Electronics

  6. Performance Parameters (continued) • Alternate form for ripple factor • Transformer utilization factor, TUF • TUF = Pdc/VsIs • Vs, Is are rms voltage and current of the transformer secondary ECE 442 Power Electronics

  7. Input Voltage and Current ECE 442 Power Electronics

  8. Performance Parameters (continued) • Displacement angle, Φ • Displacement Factor, DF • DF = cos(Φ) • Harmonic Factor, HF ECE 442 Power Electronics

  9. Performance Parameters (continued) • Power Factor, PF ECE 442 Power Electronics

  10. Performance Parameters (continued) • Crest Factor, CF ECE 442 Power Electronics

  11. Example 3.1 • Determine η, FF, RF, TUF, PIV of the diode, CF of the input current, input PF. ECE 442 Power Electronics

  12. Determine the Average Voltage, Vdc ECE 442 Power Electronics

  13. ECE 442 Power Electronics

  14. Determine the rms Voltage, Vrms ECE 442 Power Electronics

  15. Determine Pdc, Pac, and η ECE 442 Power Electronics

  16. Determine FF and RF ECE 442 Power Electronics

  17. Determine the TUF ECE 442 Power Electronics

  18. Determine the PIV • PIV is the maximum (peak) voltage that appears across the diode when reverse biased. Here, PIV = Vm. - PIV - + + ECE 442 Power Electronics

  19. Determine CF ECE 442 Power Electronics

  20. Determine PF ECE 442 Power Electronics

  21. Summary – Half-Wave Rectifier • RF=121% High • Efficiency = 40.5 Low • TUF = 0.286 Low • 1/TUF = 3.496 • transformer must be 3.496 times larger than when using a pure ac voltage source ECE 442 Power Electronics

  22. Half-Wave Rectifier with R-L Load ECE 442 Power Electronics

  23. Waveforms of Current and Voltage Conduction period of D1 extends beyond ωt = π ECE 442 Power Electronics

  24. Average Output Voltage Increase average voltage and current by making σ = 0 ECE 442 Power Electronics

  25. Waveforms with Dm installed ECE 442 Power Electronics

  26. Application as a Battery Charger Diode conducts for vs > E, starting when Vmsinα = E ECE 442 Power Electronics

  27. Waveforms for the Battery Charger Diode turns off when vs < E (at β = π – α) Charging current io = (vs – E)/R io = (Vmsinωt – E)/R for α < ωt < β ECE 442 Power Electronics

  28. Single-Phase Full-Wave Rectifier Center-Tapped Transformer ECE 442 Power Electronics

  29. Waveforms for the Full-Wave Rectifier ECE 442 Power Electronics

  30. Single-Phase Full-Wave Rectifier PIV = 2Vm ECE 442 Power Electronics

  31. Full-Wave Bridge Rectifier ECE 442 Power Electronics

  32. Waveforms for the Full-Wave Bridge ECE 442 Power Electronics

  33. Full-Wave Bridge with Waveforms Conduction pattern D1 – D2 D3 – D4 PIV = Vm ECE 442 Power Electronics

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