AC-AC · Single-Phase AC Regulator · Virtual Lab

Single-Phase AC Voltage Controller Simulator

An advanced, physics-accurate simulator of the single-phase AC voltage controller (AC regulator / AC chopper) — two anti-parallel thyristors (a TRIAC equivalent) in series with the load, phase-controlled by the firing angle α. Choose an R or R-L load and watch the true chopped output voltage, load current and T1/T2 conduction on a real-time oscilloscope — validated live against Vo(rms) = Vs·√(1−α/π+sin2α/2π) with firing, extinction & conduction angles, %THD, power factor and a real harmonic-spectrum FFT.

Single-phase AC voltage controller circuit diagram: an AC supply Vs feeds an R-L load through two anti-parallel thyristors T1 and T2 (TRIAC equivalent), phase-controlled by firing angle alpha, giving RMS output Vs·√(1−α/π+sin2α/2π)
Single-phase AC voltage controller — anti-parallel SCRs T1/T2 fired at angle α chop each half-cycle. RMS output Vo = Vs·√(1−α/π+sin2α/2π) for an R load.

Parameters

V
Delay before firing each half-cycle. α = 0 → full output; higher α → lower RMS.

Load

L = 0 → pure resistive (dimmer/heater). With L, current lags and conduction extends past the zero crossing to the extinction angle β.

Sampling & display

Presets

Waveforms to display

Waveforms — one period α = 60°

source vs output voltage vo fundamental load current
LIVE

Firing · extinction · conduction angle analyzer (topic-specific)

For an R load each thyristor conducts from α to 180° (β = 180°). With an R-L load the current lags and keeps flowing to the extinction angle β, giving a conduction angle γ = β − α. If α ≤ the load angle φ = arctan(ωL/R), conduction is continuous and phase control has no effect — the output equals the full supply.

Harmonic spectrum

Output-voltage THD (relative to fundamental)
Phase control produces only odd harmonics (3rd, 5th, 7th…). Deeper firing (larger α) means more distortion and a lower power factor.

Measurements

Live accuracy check — simulation vs closed-form theory

What is a single-phase AC voltage controller?

A single-phase AC voltage controller (also called an AC regulator, AC chopper or dimmer) varies the RMS voltage delivered to an AC load without changing the frequency. Two anti-parallel thyristors — or a single TRIAC — are placed in series with the load. Each half-cycle the device is fired after a delay called the firing angle α, so only the part of the sine wave from α onward reaches the load. Increasing α reduces the output; this is phase-angle control.

RMS output voltage (resistive load)

For a purely resistive load the current stops at the voltage zero crossing, so each thyristor conducts from α to 180°. The RMS output voltage is:

Vo(rms) = Vs·√(1 − α/π + sin(2α)/(2π))

At α = 0 the full supply Vs appears; the output falls to zero at α = 180°. The load power is P = Vo(rms)²/R. This simulator integrates the actual thyristor circuit, so the measured RMS matches this formula to numerical precision.

Extinction & conduction angle (R-L load) — topic-specific

With an inductive (R-L) load the current lags the voltage and cannot stop at the zero crossing; it keeps flowing until it naturally returns to zero at the extinction angle β, found from:

sin(β − φ) = sin(α − φ)·e^(−(β − α)/tanφ), φ = arctan(ωL/R)

The conduction angle is γ = β − α. A crucial result: if α ≤ φ, conduction becomes continuous and phase control has no effect — the output equals the full supply. Effective control only happens for φ < α < 180°. The analyzer above computes φ, β and γ live and tells you which region you are in.

Applications & limitations

UseLoadNotes
Light dimmerResistive (lamp)Simple TRIAC dimmer
Fan / heater controlR or R-LSpeed / temperature control
Induction-motor soft starterR-LRamp α down to limit inrush

The drawback is a poor input power factor and high harmonic distortion (odd harmonics), because the current is chopped and delayed. Where harmonics matter, integral-cycle (burst-fire) control or a PWM AC chopper is used instead.

See also the three-phase AC voltage controller and the phase-controlled single-phase rectifiers.

Frequently asked questions

What is an AC voltage controller?

An AC-to-AC converter that varies the RMS load voltage at constant frequency using anti-parallel thyristors (or a TRIAC) fired at a delay angle α.

What is the RMS output for a resistive load?

Vo(rms) = Vs·√(1 − α/π + sin(2α)/(2π)); full at α = 0, zero at α = 180°.

What is the extinction angle?

With an inductive load the current continues past the zero crossing to the extinction angle β; conduction angle γ = β − α. Control is only effective when α > the load angle φ.

Why is the power factor poor?

Chopping and delaying the current lowers the displacement and distortion factors and injects odd harmonics, so the input power factor drops well below unity as α increases.

Power4All · Single-Phase AC Voltage Controller interactive simulator. All waveforms are produced by numerical integration of the actual thyristor circuit and validated against closed-form theory.