AC-DC · Three-Phase Dual Converter · Four-Quadrant · Virtual Lab

Three-Phase Dual Converter Simulator (Four-Quadrant)

An advanced, physics-accurate simulator of the three-phase dual converter — two anti-parallel six-pulse fully-controlled thyristor bridges (Converter 1 and Converter 2) sharing one load for full four-quadrant operation. Sweep the firing angle α1 (with α1 + α2 = 180°), switch between circulating-current and circulating-current-free modes, set the reactor Lr, the SCR model, transformer, load (with signed back-EMF), filter & snubber and phase sequence/imbalance, read a live harmonic spectrum (V & I THD) plus a four-quadrant operating map, and export the data — all validated against Vo = (3√3·Vm/π)cos α1 and PIV = √3·Vm.

Three-phase dual converter circuit (Figure 6): Converter 1 and Converter 2, two anti-parallel three-phase six-pulse thyristor bridges fed from phases A, B, C, sharing a central load with output voltage V0
Three-phase dual converter — two anti-parallel 6-pulse SCR bridges (Converter 1 & Converter 2) across a common load V₀. Fired with α1 + α2 = 180° for four-quadrant control.

Firing angle & mode

Converter 2: α2 = 180 − α1 = 150° · 0–90° = Vo>0 (Conv 1) · 90–180° = Vo<0 (Conv 2)
Limits the circulating current between the two bridges

Three-phase source

Vm = peak of each phase (line-to-neutral)

Thyristor (SCR) model

The load conducts through 2 SCRs in series, so the drop is 2·V_f + 2·R_on·i. Ideal (0,0) matches theory.

Transformer

Scales the phase voltage applied to both bridges

Load configuration

Filter & protection

Ratings drive the protection-margin check in the measurements (PIV = √3·Vm).

Sampling & display

Presets

Waveforms to display

Waveforms — one steady-state period 4-quadrant

vₐ v_b v_c v₁ Conv-1 v₂ Conv-2 i_r circ i₀ load
LIVE

Four-quadrant operating map

Q1 Forward motoring — Vo > 0, Io > 0.
Vo = V
Io = A

Harmonic spectrum analysis

Output-voltage ripple / distortion (relative to |DC|)
FFT of the output voltage — output harmonics at multiples of 6× the supply frequency; increasing α raises the harmonic content. Toggle to the line-current spectrum (5th, 7th, 11th, 13th …) above.

Measurements

Live accuracy check — simulation vs closed-form theory

Average output  
RMS output  

What is a three-phase dual converter?

A three-phase dual converter is two three-phase fully-controlled six-pulse thyristor bridges connected in anti-parallel across the same load, as in Figure 6. Converter 1 (the positive or P-converter) can source positive load current, while Converter 2 (the negative or N-converter) sources negative current. Because each 6-pulse bridge is itself two-quadrant (it can rectify and, with an active load, invert), the anti-parallel pair covers all four quadrants of the voltage–current plane. It is the classic front-end of a reversible DC-motor drive — forward and reverse, motoring and regenerative braking — with a fast, smooth transition between them.

Output voltage, firing angles, PIV & ripple

Vo = (3√3·Vm / π) · cos α1 ≈ 1.654 · Vm · cos α1   with   α1 + α2 = 180°
PIV = √3 · Vm ≈ 1.732 · Vm   ·   ripple frequency = 6f

Here Vm is the peak phase (line-to-neutral) voltage. Each bridge behaves like a 6-pulse fully-controlled converter, so its mean output is (3√3·Vm/π)cos α. To keep the two mean voltages equal in magnitude but opposite in polarity around the loop, the firing angles are constrained to α1 + α2 = 180°, giving cos α2 = −cos α1. As α1 goes from 0° to 180°, the mean load voltage swings from +3√3·Vm/π through zero (at 90°) to −3√3·Vm/π. This simulator fires both bridges accordingly, integrates the real load and compares the measured average to (3√3·Vm/π)cos α1 in the accuracy panel.

Circulating-current vs circulating-current-free operation

In circulating-current mode both bridges are gated continuously. Their averages are equal, but their instantaneous outputs differ, so a ripple voltage vr = v1 + v2 appears around the loop and drives a circulating current limited by the reactor Lr. This keeps both converters conducting for an instant, ripple-free reversal — at the cost of extra device current and reactor hardware. In circulating-current-free (non-circulating) mode only the converter that carries the load is gated, so the circulating current is zero; a short changeover delay is needed to reverse. Toggle the mode and watch the i_r trace and the four-quadrant map respond.

Advanced options in this simulator

  • Four-quadrant map: a live plot of the operating point (Vo, Io) showing which quadrant — forward/reverse motoring or braking — the drive is in.
  • SCR model: add a forward drop V_f and on-resistance R_on; the load path uses two SCRs in series (2·V_f + 2·R_on·i). The accuracy check stays locked to the ideal envelope.
  • Transformer: a turns ratio scales the phase voltage into both bridges.
  • Load configuration: resistive, inductive (R-L) or with a signed back-EMF (R-L-E) for motoring and regeneration.
  • Filter & protection: a series-L, shunt-C or LC output filter, an optional RC snubber, and a live protection-margin check of the SCR PIV and average current against the ratings you enter.
  • Phase sequence & imbalance: swap the sequence or unbalance the phases and watch the ripple and harmonics change.
  • Harmonic spectrum analysis: a real FFT of the output voltage (6th, 12th …) or the AC line current (5th, 7th, 11th, 13th …) with the ripple / THD figure.
  • Export & capture: download the full waveform data as CSV, a text report, or a PNG screenshot of the scope.

Dual converter vs single fully-controlled bridge

FeatureSingle 6-pulse controlled bridgeThree-phase dual converter
Devices6 thyristors12 thyristors (two bridges)
Average voltage(3√3·Vm/π)cos α(3√3·Vm/π)cos α1 (both polarities)
Quadrants2 (±V, one current dir.)4 (±V and ±I)
Current reversalNot possibleYes (second bridge)
Circulating currentOptional (reactor-limited)
PIV√3·Vm√3·Vm

See the three-phase fully-controlled 6-pulse bridge for a single bridge, the three-phase semiconverter for the half-controlled version, or the single-phase dual converter for the 1φ four-quadrant case.

Applications

Reversible DC-motor drives for rolling mills, cranes, hoists, mine winders, machine tools and electric traction — anywhere a DC machine must run in both directions and brake regeneratively. The dual converter is also used in synchronous-motor excitation and in some HVDC and battery test systems where four-quadrant DC control is required.

Frequently asked questions

What is the average output voltage of a 3-phase dual converter?

Vo = (3√3·Vm/π)cos α1 ≈ 1.654·Vm·cos α1, where Vm is the phase peak and α1 is Converter 1's firing angle. The two bridges obey α1 + α2 = 180°.

Why is α1 + α2 = 180°?

So that the two bridges present equal average voltages of opposite polarity around the loop (cos α2 = −cos α1), preventing a large DC circulating current while still allowing four-quadrant control.

What is the difference between the two modes?

Circulating-current mode keeps both bridges conducting (a reactor-limited ripple current flows between them) for fast, smooth reversal. Circulating-current-free mode gates only the active bridge, so no circulating current flows but a small changeover delay is needed.

What is the PIV of each thyristor?

PIV = √3·Vm — the peak line-to-line voltage — for every thyristor in both bridges.

Which harmonics appear?

Output-voltage harmonics at multiples of 6× the supply frequency; AC line-current harmonics of order 6k±1 (5th, 7th, 11th, 13th …). Raising α increases the harmonic content. Toggle the spectrum panel between voltage and line current.

Power4All · Three-Phase Dual Converter (four-quadrant) interactive simulator. All waveforms are produced by numerical integration of the actual circuit and validated against closed-form theory.