AC-DC · Uncontrolled Rectifier · Virtual Lab

Single-Phase Centre-Tapped Full-Wave Rectifier Simulator

An advanced, physics-accurate simulator of the single-phase centre-tapped full-wave rectifier — a centre-tapped transformer and just two diodes (D1, D2) that rectify both halves of each AC cycle. Change the supply, frequency and load (R, R-L, R-L-E), add an optional output filter, and watch every waveform on a real-time oscilloscope view — validated live against Vdc = 2Vm/π, Vrms = Vm/√2 and PIV = 2Vm.

Single-phase centre-tapped full-wave rectifier circuit: AC supply, a centre-tapped transformer secondary and two diodes D1 and D2 feeding a load resistor RL
Single-phase centre-tapped full-wave rectifier — two diodes D1, D2 and a centre-tapped secondary; each diode conducts on alternate half-cycles.

Parameters

Vm = peak of each half of the centre-tapped secondary

Diode model

Only one diode conducts per half-cycle, so the drop is V_f + R_on·i. Ideal (0,0) matches theory.

Transformer

Scales the peak half-secondary voltage Vm (PIV = 2Vm)

Filter & protection

Series L, shunt C or LC low-pass filter — simulated exactly, not approximated.
Centre-tapped PIV = 2Vm, so diodes need a higher voltage rating than a bridge.

Sampling & display

Points plotted per cycle

Presets

Waveforms to display

Waveforms — one steady-state period

vₛ half-secondary v₀ output i₀ load i_D diode v_D1 (PIV=2Vm)
LIVE

Harmonic spectrum analysis

Output-voltage ripple / distortion (relative to DC)
Live FFT of the output voltage — bar height = harmonic amplitude ÷ DC. The full-wave ripple is dominated by the 2nd harmonic (2f). Toggle to the load-current spectrum above.

Measurements

Live accuracy check — simulation vs closed-form theory

Average output  
RMS output  

What is a centre-tapped full-wave rectifier?

A centre-tapped full-wave rectifier uses a transformer whose secondary winding has a centre tap, plus just two diodes. The centre tap is the load's common (return) point. During the positive half-cycle diode D1 conducts from the upper half of the secondary; during the negative half-cycle diode D2 conducts from the lower half. Both halves therefore drive the load in the same direction, giving full-wave rectification with only two diodes.

Output voltage & PIV equations

Vdc = 2Vm / π ≈ 0.637 · Vm
Vrms = Vm / √2 ≈ 0.707 · Vm
PIV = 2 · Vm

Here Vm is the peak voltage of each half of the centre-tapped secondary. The output is identical to a bridge rectifier, but the peak inverse voltage is twice as high: when one diode conducts, the other diode is exposed to the sum of both half-secondary voltages, so PIV = 2Vm. This simulator integrates the real circuit and checks Vdc, Vrms and PIV against these formulas.

Performance figures (resistive load)

Average voltage Vdc2Vm/π = 0.637·Vm
RMS voltage VrmsVm/√2 = 0.707·Vm
Form factorVrms/Vdc = π/(2√2) ≈ 1.11
Ripple factor√(FF² − 1) ≈ 0.482
Ripple frequency2f (100 Hz at 50 Hz)
Rectification efficiency≈ 81.2 %
Peak inverse voltage (PIV)2Vm

Advanced options in this simulator

  • Diode model: add a forward drop V_f and on-resistance R_on; only one diode conducts per half-cycle, so the drop is V_f + R_on·i (half that of a bridge). The accuracy check stays locked to the ideal 2Vm/π envelope.
  • Transformer: a turns ratio scales the peak half-secondary voltage Vm — remember the diode PIV is 2Vm.
  • Filter & protection: a series-L, shunt-C or LC output filter, an optional RC snubber, and a live protection-margin check of the diode PIV = 2Vm and average current against the ratings you enter.
  • Harmonic spectrum analysis: a real FFT of the output voltage or load current with the ripple / THD figure — dominated by the 2nd harmonic (2f).
  • Export & capture: download the full waveform data as CSV, a text report, or a PNG screenshot of the scope.

Centre-tapped vs bridge rectifier

FeatureCentre-tappedBridge
Diodes2 (one drop)4 (two drops)
TransformerCentre-tapped (bulky)Ordinary / none
PIV per diode2VmVm
Average voltage2Vm/π2Vm/π
Ripple factor0.480.48

Compare with the full-wave bridge rectifier simulator.

Advantages, disadvantages & applications

Advantages: only two diodes, so only one diode voltage drop in the conduction path (slightly higher efficiency at low output voltage), and a simple, isolated design. Disadvantages: needs a bulky, more expensive centre-tapped transformer, diodes must be rated for the higher PIV = 2Vm, and transformer utilisation is poorer. Applications: low-voltage DC supplies, valve/tube equipment, and audio power supplies where the centre-tapped transformer is already present.

Frequently asked questions

What is the average output voltage of a centre-tapped rectifier?

Vdc = 2Vm/π ≈ 0.637·Vm, where Vm is the peak of each half of the centre-tapped secondary — the same as a bridge rectifier.

Why is the PIV of a centre-tapped rectifier 2Vm?

When one diode conducts, the non-conducting diode is connected across the whole secondary winding, so it sees the sum of both half-secondary voltages — a peak of 2Vm, twice the bridge's PIV.

How many diodes does it use?

Only two, one per half-cycle — but it needs a centre-tapped transformer, unlike the four-diode bridge.

What is its ripple factor and efficiency?

Ripple factor ≈ 0.48 and efficiency ≈ 81.2 %, the same as a bridge rectifier because both are full-wave.

Centre-tapped or bridge — which should I use?

Bridge is usually preferred (lower diode PIV, no special transformer). Centre-tapped is used when a tapped transformer is already available or only two diodes are wanted.

What does the harmonic spectrum show?

An FFT of the output voltage (or load current). Like the bridge, the centre-tapped output is symmetric so odd harmonics cancel and the ripple is dominated by the 2nd harmonic (2f). Switch between the voltage and current spectra and choose how many harmonics to display.

Power4All · Single-Phase Centre-Tapped Full-Wave Rectifier interactive simulator. All waveforms are produced by numerical integration of the actual circuit and validated against closed-form theory.