DC-AC · Three-Phase VSI · Virtual Lab

Three-Phase 120° Conduction Inverter Simulator

An advanced, physics-accurate simulator of the three-phase 120° conduction voltage-source inverter — six switches in three legs, each conducting only 120° and off for 60°, so only two devices conduct at any instant and each phase floats for 60°. Watch every waveform — the 120° conduction pattern, all three phase voltages (quasi-square with float gaps), all three line voltages and all three load currents — on a real-time oscilloscope, validated live against Vph1 = √3·Vdc/π and line VLL1 = 3·Vdc/π, with total & fundamental RMS, %THD and a real harmonic-spectrum FFT.

Three-phase 120-degree conduction voltage-source inverter circuit diagram: DC bus and six switches in three legs, each switch conducting for 120 degrees and off for 60 degrees so only two devices conduct at a time and each phase floats for 60 degrees, feeding a three-phase load
Three-phase 120° VSI — each switch is on for 120°, off for 60°; only two conduct at once and each phase floats for 60°. Phase fundamental Vph1 = √3·Vdc/π.

Parameters

V

Balanced 3-phase load

Star-connected R-L; the voltage waveform is exact for the balanced load.

Sampling & display

Presets

Waveforms to display

Every waveform is shown (T1–T6 gating in the panel below); untick any to focus.

Waveforms — one fundamental period 120° conduction

Vao Vbo Vco Vab · Vbc · Vca line fundamental ia,ib,ic
LIVE

T1–T6 device gating & 120° conduction pattern (topic-specific)

Segment 1 = leg-A devices T1 (upper, +) / T2 (lower, −); Segment 2 = leg-B T3/T4; Segment 3 = leg-C T5/T6. Each device conducts 120° then the leg is off for 60° (the gaps), so only two devices conduct at any instant — the built-in dead-time makes shoot-through impossible, unlike 180° conduction where three devices always conduct.

Harmonic spectrum

Phase-voltage THD (relative to fundamental)
120° conduction, like 180°, has triplen-free line voltage — the 3rd, 9th… harmonics (red) in the phase voltage cancel in the line-to-line voltage.

Measurements

Live accuracy check — simulation vs closed-form theory

Phase fundamental  
Line fundamental  

What is a three-phase 120° conduction inverter?

A three-phase voltage-source inverter can be gated in two ways. In 120° conduction mode, each of the six switches conducts for only 120° of the fundamental cycle and is off for the remaining 60°. Because of this, at any instant only two switches conduct — one upper and one lower in different legs — and the third phase is disconnected (floating) for 60°. The built-in 60° gap means the two switches of a leg can never overlap, so shoot-through is impossible without any added dead-time.

Phase & line voltages

For a balanced star load, the floating phase sits at the load star point (zero), so the phase voltage is a quasi-square wave: +Vdc/2 for 120°, zero for 60°, −Vdc/2 for 120°, zero for 60°:

Vph1(peak) = √3·Vdc/π ≈ 0.551·Vdc · Vph(rms) = Vdc/√6 ≈ 0.408·Vdc
VLL1(peak) = 3·Vdc/π · VLL(rms) = Vdc/√2 ≈ 0.707·Vdc · THD ≈ 30.5%

This simulator integrates the actual three-leg 120° switching, so every one of the phase, line and current waveforms — all three of each — is exact and validated against the formulas above.

The 120° conduction pattern (topic-specific)

The dedicated conduction chart shows, for each phase, the 120° connection to a rail followed by the 60° float. It makes clear the defining property: only two devices conduct at a time and each phase has two 60° floating windows per cycle. During a float, the phase carries no current and its terminal rests at the star point — producing the zero plateaus in the phase voltage.

120° vs 180° conduction

Feature120° conduction180° conduction
On-time / switch120°180°
Devices conducting2 at a time3 at a time
Phase floats?Yes, 60° per half-cycleNo
Phase fundamental peak√3·Vdc/π ≈ 0.551·Vdc2·Vdc/π ≈ 0.637·Vdc
Shoot-through riskNone (built-in gap)Needs dead-time

Compare with the three-phase 180° (six-step) inverter, and see the single-phase half-bridge and full-bridge inverters.

Applications

Three-phase motor drives and brushless-DC / PMSM control (where 120° six-step commutation is common), lower-cost drives that avoid dead-time circuitry, and teaching the contrast with 180° six-step operation.

Frequently asked questions

What is 120° conduction?

Each switch conducts for only 120° and is off for 60°, so only two devices conduct at once and each phase floats for 60°.

What is the output voltage?

Phase voltage is a quasi-square wave with fundamental peak √3·Vdc/π and RMS Vdc/√6; line fundamental peak 3·Vdc/π, THD ≈ 30.5%.

How is it different from 180° conduction?

180° has three devices conducting and a higher output (phase peak 2Vdc/π); 120° has two devices, floating phases and a built-in dead-time that prevents shoot-through.

Why does a phase float?

Each switch is off for 60°, so there is a 60° window where neither switch of a leg conducts and the phase disconnects from both rails.

Power4All · Three-Phase 120° Inverter interactive simulator. All waveforms are produced by numerical integration of the actual switching circuit and validated against closed-form theory.