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Rectifiers: Frequency, Regulation & Ripple Factor

 

Rectifiers Summary

Rectifiers: Frequency, Regulation & Ripple Factor

1. Output Frequency of Rectifiers

Half-Wave Rectifier

A half-wave rectifier uses only one half-cycle of the AC input signal. For each input cycle, one output pulse is produced.

Output Frequency: foutput = finput

Example: If input is 50 Hz, output is 50 Hz.

Full-Wave Rectifier

A full-wave rectifier uses both positive and negative halves of the AC signal. The negative half is inverted, producing two pulses per cycle.

Output Frequency: foutput = 2 × finput

Example: If input is 50 Hz, output is 100 Hz.

2. Voltage Regulation of an Ideal Rectifier

Voltage regulation measures the change in output voltage between no-load and full-load conditions.

Formula:
Regulation = (Vno-load − Vfull-load) / Vfull-load × 100%

Ideal Rectifier

  • No internal resistance
  • No voltage drop across diodes
  • No power loss

Therefore, Vno-load = Vfull-load

Regulation = 0%

This means the output voltage remains constant regardless of load, indicating perfect performance.

3. Ripple Factor

Ripple factor indicates the amount of AC fluctuation (ripple) present in the rectifier output. Lower ripple means smoother DC output.

Formula:
Ripple Factor (r) = Vrms(ac) / Vdc

Half-Wave Rectifier

Ripple factor = 1.21

Explanation: Since only half of the waveform is used, the output contains large fluctuations, resulting in high ripple.

Full-Wave Rectifier

Ripple factor = 0.482

Explanation: Both halves of the waveform are utilized, making the output smoother and reducing ripple.

4. Summary Tables

Output Frequency

Rectifier Type Output Frequency
Half-Wave f
Full-Wave 2f

Ripple Factor

Rectifier Type Ripple Factor
Half-Wave 1.21
Full-Wave 0.482

Voltage Regulation

Condition Regulation
Ideal Rectifier 0%
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