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Efficiency of single-phase half-wave rectifier

The efficiency of single phase half-wave rectifier is given by the ratio of the output dc power to the total amount of input power supplied to the circuit. It is also called conventional efficiency.

Ƞ = Pdc/Pin = power in the load/input power

Now,

Pdc = IL(dc)2RL  = (ILM/ π)2.RL = ILM2.RL/ π2

Pin  = IL2 (RL + R0) = (ILM/2)2 (RL + R0) = ILM2 (RL + R0)/4

Therefore:

Ƞ = Pdc/Pin = (4/ π2)RL/(RL + R0) = 0.406/(1+ R0/RL) = 40.6%/(1 + R0 /RL)

Here,

IL = rms value of load current

ILM = maximum value of load current

IL(dc) =average value of load current

RL = load resistance

Rs = transformer secondary resistance

rd = diode forward resistance

R0 = Rs + rd

Related topic

  1. Single-phase half-wave rectifier
  2. AVERAGE AND RMS VALUE OF SINGLE-PHASE HALF-WAVE RECTIFIER
  3. Frequency Component of Half-Wave Rectifier Voltage and Current
  4. Ripple Factor of single phase Half-Wave rectifier
  5. Peak Inverse Voltage (PIV) of single phase half wave rectifier
  6. Peak current of single phase half wave rectifier
  7. Transformer Utilization Factor (TUF) of single phase half wave rectifier 
  8. Advantage and Disadvantage of single-phase half-wave rectifier

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