AC-AC · Cycloconverter · Virtual Lab

Three-Phase to Single-Phase Full-Bridge Cycloconverter Simulator

An advanced, physics-accurate simulator of the three-phase to single-phase full-bridge (6-pulse) cycloconverter — a direct AC-to-AC frequency changer that builds a single-phase, lower-frequency output from two anti-parallel 3-phase bridge groups using cosine-wave firing modulation. Watch the chopped 6-pulse output track its reference sine and the load current on a real-time oscilloscope — validated live against Vo1 = r·Vd0 = r·(3√3/π)·Vm, with %THD, a real harmonic FFT and an fo/fi quality indicator.

Circuit diagram of a three-phase to single-phase full-bridge (6-pulse) cycloconverter with positive bridge group P and negative bridge group N feeding one single-phase load, cosine-modulated to give fundamental output Vo1 = r·(3√3/π)·Vm
Three-phase to single-phase full-bridge cycloconverter — positive group P and negative group N (each a 6-pulse bridge) synthesize a low-frequency output. Fundamental 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 single-phase full-bridge cycloconverter?

A full-bridge cycloconverter is a direct AC-to-AC frequency changer in which each converter group is a full three-phase bridge (6-pulse) rather than a simple 3-pulse group. Two such bridges are connected in anti-parallel across one single-phase load — a positive group (P) and a negative group (N) — and their firing angles are modulated by the cosine-wave scheme so the combined output follows a low-frequency reference sine.

Cosine-wave firing modulation

Each bridge is fired so that cos α(t) = r·sin(ωot). Because a 6-pulse bridge has a mean output of Vd0·cos α, the local average of the synthesized output follows Vd0·r·sin(ωot) — a smooth low-frequency sine, assembled from six input segments per input cycle.

Fundamental output voltage

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

where Vm is the peak phase voltage. Vd0 is the maximum mean output of a three-phase full-wave (6-pulse) bridge — the same value that appears in a three-phase full-wave controlled rectifier. Because a 6-pulse bridge uses six segments per input cycle instead of three, its output is far smoother than the half-wave cycloconverter and it can run at a higher output frequency.

Output frequency limit & waveform quality — topic-specific

The output is assembled from p·fi/fo segments per output cycle, with p = 6 here. The extra segments mean a 6-pulse cycloconverter keeps low distortion up to roughly fo ≤ fi/2 — better than the 3-pulse half-wave version (fi/3). Push fo/fi higher and the harmonic content still grows and the fundamental droops below r·Vd0.

Applications

The 6-pulse cycloconverter is the workhorse for large low-speed AC drives — rolling mills, cement kilns, mine hoists — where its low output distortion matters. Compare it with the three-phase to single-phase half-wave cycloconverter, the three-phase to three-phase half-wave cycloconverter and three-phase to three-phase full-wave cycloconverter, and the single-phase to single-phase cycloconverter.

Frequently asked questions

What is a three-phase to single-phase full-bridge cycloconverter?

A direct AC-to-AC frequency changer that turns a three-phase supply into a lower-frequency single-phase output using two anti-parallel three-phase full-bridge (6-pulse) groups with cosine-modulated firing — no DC link.

What is the fundamental output voltage?

Vo1(peak) = r·Vd0 with Vd0 = (3√3/π)·Vm ≈ 1.654·Vm, so Vo1(rms) = r·Vd0/√2. r is the modulation ratio (0–1).

Why is a 6-pulse cycloconverter better than a 3-pulse one?

It uses six input segments per cycle instead of three, so the output is smoother, the THD is lower, and it can run up to about fo = fi/2 instead of fi/3.

What are full-bridge cycloconverters used for?

Large low-speed drives such as rolling mills, cement kilns and mine hoists, where low output distortion and four-quadrant operation without a DC link are important.

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