AC-AC · Cycloconverter · Virtual Lab

Three-Phase to Three-Phase Full-Wave Cycloconverter Simulator

An advanced, physics-accurate simulator of the three-phase to three-phase full-wave (6-pulse) cycloconverter — the standard direct AC-to-AC frequency changer for very large low-speed drives. It produces a balanced three-phase output from three positive/negative 6-pulse bridge pairs (36 thyristors), fired by cosine-wave modulation 120° apart. Watch the three chopped output voltages track their reference sines and the three load currents on a real-time oscilloscope — validated live against Vo1 = r·(3√3/π)·Vm per phase, with %THD and a real harmonic FFT.

Circuit diagram of a three-phase to three-phase full-wave (6-pulse) cycloconverter with three output phases, each fed by positive and negative 6-pulse bridge groups feeding a balanced three-phase load, giving Vo1 = r·(3√3/π)·Vm per phase
Three-phase to three-phase full-wave cycloconverter — three output phases (each a 6-pulse dual bridge, 36 thyristors) give a low-distortion balanced 3φ output. Per-phase Vo1 = r·(3√3/π)·Vm.

Parameters

V
Per-phase (line-to-neutral) RMS. Peak Vm = √2·Vs.
Target output frequency. Keep fo ≤ fi/3 for a clean 3-pulse output.
r = Vo1(peak) / Vd0. Sets output amplitude; r = 1 is full output.

Load

L smooths the load current and sets its lag at the output frequency.

Sampling & display

Presets

Waveforms to display

Waveforms — one output period fo = 16.7 Hz

LIVE

Frequency conversion & output quality (topic-specific)

A cycloconverter is a direct frequency changer: it stitches the output from pieces of the input waveform, so there is no DC link. The number of input pulses per output cycle is p·(fi/fo). As the ratio fo/fi rises there are fewer pieces per output cycle, the harmonic content grows and the fundamental droops — which is why a 3-pulse cycloconverter is kept to about fo ≤ fi/3.

Harmonic spectrum

Output-voltage THD (relative to fundamental)
Harmonics are shown as a fraction of the output fundamental (at fo). Bar 1 = fundamental.

Measurements

Live accuracy check — simulation vs closed-form theory

What is a three-phase to three-phase full-wave cycloconverter?

It is the highest-quality direct AC-to-AC frequency changer: a three-phase supply is turned into a balanced three-phase output at a lower frequency with no DC link, using three single-phase-output cycloconverters — one per phase — each built from a positive and a negative three-phase full-bridge (6-pulse) group. That is 36 thyristors in total (3 phases × 2 groups × 6 devices).

Balanced three-phase output by cosine modulation

Each output phase is fired with cos α(t) = r·sin(ωot + φ), with φ = 0°, −120°, −240°. Because each 6-pulse bridge has mean output Vd0·cos α, the three local averages form a balanced low-frequency three-phase set built from six input segments per input cycle — far smoother than the 3-pulse version.

Fundamental output voltage (per phase)

Vo1(peak) = r·Vd0 , Vd0 = (3√3 / π)·Vm ≈ 1.654·Vm → Vo1(rms) = r·Vd0/√2

where Vm is the peak phase voltage. The three fundamentals are equal and 120° apart. This simulator synthesizes all three phases with the actual cosine-crossing firing and validates the phase-A fundamental against r·Vd0.

Output frequency limit & waveform quality — topic-specific

With p = 6, each output phase is assembled from 6·fi/fo segments per cycle, so a full-wave three-phase cycloconverter keeps low distortion up to about fo ≤ fi/2 — the widest usable range of the family.

Applications

This is the topology used for the very largest low-speed synchronous-motor drives (10s of MW) — ore mills, gearless mine hoists and ship propulsion. Compare with the three-phase to three-phase half-wave cycloconverter (3-pulse), the three-phase to single-phase half-wave cycloconverter, the three-phase to single-phase full-bridge cycloconverter and the single-phase to single-phase cycloconverter.

Frequently asked questions

What is a three-phase to three-phase full-wave cycloconverter?

A direct AC-to-AC frequency changer that produces a balanced three-phase output at a lower frequency using three single-phase cycloconverters (one per phase), each with positive and negative 6-pulse bridge groups — 36 thyristors, no DC link.

How many thyristors does it use?

Thirty-six: three output phases, each with a positive and a negative three-phase full-bridge group of six thyristors (3 × 2 × 6 = 36).

What is the per-phase fundamental output voltage?

Vo1(peak) = r·Vd0 with Vd0 = (3√3/π)·Vm ≈ 1.654·Vm; the three phases are equal and 120° apart.

Why is the 6-pulse three-phase cycloconverter preferred for big drives?

Six segments per input cycle give the lowest distortion of the family and allow output frequency up to about fi/2, which suits very large low-speed synchronous-motor drives.

Power4All · Three-Phase to Three-Phase Full-Wave Cycloconverter interactive simulator. All waveforms are produced by numerical synthesis of the actual cosine-modulated converter and validated against closed-form theory.