The efficiency of single phase center-tap full-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.

P_in = I_L² (R₀ + R_L) = (I_LM/√2)² (R₀ + R_L)  ½ I_LM²(R₀ + R_L)

P_dc = I_L(dc)²(R₀ + R_L) = (2I_LM/ π)² (R₀ + R_L) = 4I_LM²/ π² (R₀ + R_L)

Ƞ = P_dc/P_in = (8/ π²){R_L /(R₀ + R_L)} = 0.812/(1 + R₀ / R_L) = 81.2%/(1 + R₀ / R_L)

Here,

I_L = rms value of load current

I_LM = maximum value of load current

I_L(dc) =average value of load current

R_L = load resistance

R_s = transformer secondary resistance

r_d = diode forward resistance

R₀ = R_s + r_d

It is twice the value for the half-wave rectifier for the simple reason that a full-wave rectifier utilizes both half-cycles of the input ac supply.

Related topic

1. Single-phase full-wave rectifier
2. Average and RMS value of center-tap full wave rectifier
3. Frequency Component of single-phase center-tap full wave rectifier
4. Ripple Factor of single-phase center-tap full-wave rectifier
5. Regulation of single-phase full-wave center-tap rectifier
6. Peak Inverse Voltage of single-phase center-tap full-wave rectifier
7. Peak Current of single-phase center-tap full-wave rectifier
8. Transformer Utilization Factor (TUF) of single-phase center-tap full-wave rectifier
9. Advantage of center-tap Full-wave rectifier