AC-DC · Three-Phase Half-Controlled Rectifier · Virtual Lab

Three-Phase Semiconverter (Half-Controlled Bridge) Rectifier Simulator

An advanced, physics-accurate simulator of the three-phase semiconverter — a half-controlled bridge with three thyristors (T1, T3, T5) on top and three diodes (D4, D6, D2) on the bottom. The firing angle α shifts the SCR conduction while the diodes commutate naturally, so the output is a phase-delayed line-to-line envelope that freewheels to zero instead of going negative — a one-quadrant converter. A full virtual lab: sweep α, set the SCR + diode model, transformer, load, filter & snubber, phase sequence/imbalance, read a live harmonic spectrum (voltage & current THD) and export the data — all validated against Vdc = (3√3·Vm/2π)(1 + cos α) and PIV = √3·Vm.

Three-phase semiconverter (half-controlled bridge) rectifier circuit: three-phase AC supply (v_a, v_b, v_c) with line currents i_a, i_b, i_c feeding three top thyristors T1, T3, T5 and three bottom diodes D4, D6, D2 into an R load, output voltage v_o and current i_o
Three-phase semiconverter — top group of three SCRs (T1, T3, T5) is phase-controlled; the bottom group of three diodes (D4, D6, D2) commutates naturally. Output freewheels to zero (one-quadrant).

Firing angle control

0° = max rectify · 60° = freewheeling begins · >60° = 3-pulse + freewheel · one-quadrant (no inversion)

Three-phase source

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

Device model (SCR + diode)

Current flows through 1 SCR + 1 diode 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 the bridge

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 semiconverter

vₐ v_b v_c v₀ output i₀ load v_T1
LIVE

Harmonic spectrum analysis

Output-voltage ripple / distortion (relative to |DC|)
FFT of the output voltage — 6-pulse (6f) ripple below α = 60°, with 3f / triplen harmonics appearing once freewheeling starts. 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 semiconverter (half-controlled bridge)?

A three-phase semiconverter is a half-controlled bridge rectifier: the positive (top) group uses three thyristors (SCRs) — T1, T3, T5 while the negative (bottom) group uses three diodes — D4, D6, D2. Only the top group is triggered a controllable firing angle α after its natural turn-on instant; the diodes commutate on their own. As α increases the average output falls, but the moment the fired line-to-line voltage would go negative the load current freewheels through one thyristor and one diode of the bridge, clamping the output to zero. The semiconverter is therefore a single-quadrant converter — cheaper and simpler than the fully-controlled bridge, with a better displacement factor at high α, and it is widely used for battery charging, electroplating and single-direction DC-motor drives.

Output voltage, PIV & ripple

Vdc = (3√3·Vm / 2π) · (1 + cos α) ≈ 0.827 · Vm · (1 + cos α)
PIV = √3 · Vm ≈ 1.732 · Vm   ·   ripple frequency = 6f (α ≤ 60°) → 3f (α > 60°)

Here Vm is the peak phase (line-to-neutral) voltage. At α = 0 the semiconverter behaves like the uncontrolled 6-pulse rectifier, Vdc = 3√3·Vm/π ≈ 1.654·Vm. It falls smoothly to zero at α = 180° and, thanks to freewheeling, never goes negative. This simulator triggers each SCR α after its natural commutation instant, lets the diodes commutate naturally, integrates the real load and compares the measured average to (3√3·Vm/2π)(1 + cos α) in the accuracy panel.

Freewheeling & one-quadrant operation

For firing angles up to 60° the output is a continuous 6-pulse envelope, just phase-shifted. Beyond 60° the fired line-to-line voltage tries to reverse; instead of pushing the output negative, the current freewheels inside the bridge (through one conducting SCR and one diode) and the output is held at zero for part of each pulse. During freewheeling the AC line current is zero — the load is disconnected from the supply — which is why the semiconverter has a better input power factor than the fully-controlled bridge at large α. Because the output can never go negative, the semiconverter is one-quadrant and cannot return power to the line (no inversion). The simulator reports the freewheeling percentage live and shades the freewheeling intervals as “FW”.

Advanced options in this simulator

  • Device model: add a forward drop V_f and on-resistance R_on; current flows through one SCR and one diode in series, so the total drop is 2·V_f + 2·R_on·i. The accuracy check stays locked to the ideal envelope.
  • Transformer: a turns ratio scales the phase voltage that reaches the bridge.
  • Load configuration: resistive, inductive (R-L) or with a back-EMF (R-L-E) for battery-charging / motor loads.
  • Filter & protection: a series-L, shunt-C or LC output filter, an optional RC snubber, and a live protection-margin check of the device 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 or the AC line current with the ripple / THD figure — triplen components appear once freewheeling starts.
  • Export & capture: download the full waveform data as CSV, a text report, or a PNG screenshot of the scope.

Semiconverter vs fully-controlled bridge

Feature3φ semiconverter (half-controlled)3φ fully-controlled bridge
Devices3 SCRs + 3 diodes6 SCRs
Average voltage(3√3·Vm/2π)(1 + cos α)(3√3·Vm/π)cos α
Quadrants1 (rectify only)2 (rectify + invert)
Output polarityalways ≥ 0 (freewheels)± (can go negative)
Ripple frequency6f up to 60°, then 3f6f
PIV√3·Vm√3·Vm
Input power factor at high αBetterPoorer

See the three-phase fully-controlled 6-pulse bridge for the six-SCR version, the uncontrolled 6-pulse bridge for the diode version, or the single-phase semiconverter for the 1φ half-controlled bridge.

Applications

Battery charging, electrochemical / electroplating plant, single-direction DC-motor and traction drives, heaters and any adjustable DC supply where reverse power flow is not required. The lower device cost (three SCRs instead of six) and the improved power factor at high firing angles make the semiconverter a popular medium-power choice.

Frequently asked questions

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

Vdc = (3√3·Vm/2π)(1 + cos α) ≈ 0.827·Vm·(1 + cos α) in continuous conduction, where Vm is the phase peak. It is maximum (3√3·Vm/π) at α = 0 and falls to zero at α = 180°.

Why can't a semiconverter invert?

The three diodes plus the freewheeling action clamp the output at zero whenever the fired line voltage would go negative, so the average output never becomes negative. It is a one-quadrant converter — use a fully-controlled bridge or a dual converter for inversion / regenerative braking.

When does freewheeling start?

For firing angles above 60°. Below 60° the output is a continuous 6-pulse (6f) envelope; above 60° a freewheeling interval appears each pulse, the output is held at zero, the line current is zero during that interval, and the ripple becomes 3f. The simulator shows the freewheeling percentage live.

What is the PIV of each device?

PIV = √3·Vm — the peak line-to-line voltage — for both the thyristors and the diodes.

What causes discontinuous conduction?

A resistive or lightly-inductive load lets the current fall to zero between firings, especially at large α. The simulator flags continuous (CCM) or discontinuous (DCM) conduction and only compares against the (3√3·Vm/2π)(1 + cos α) formula in CCM.

Power4All · Three-Phase Semiconverter (Half-Controlled Bridge) Rectifier interactive simulator. All waveforms are produced by numerical integration of the actual circuit and validated against closed-form theory.