DC-AC · Three-Phase CSI · Virtual Lab

Three-Phase Current-Source Inverter (CSI) Simulator

An advanced, physics-accurate simulator of the three-phase current-source inverter (CSI) — a large DC-link inductor forces a constant current Id through a six-thyristor bridge (Q1–Q6), each device conducting 120° and fired 60° apart. Watch the true quasi-square output currents (±Id), the output filter capacitor turning them into a near-sinusoidal load voltage and current, and the Q1–Q6 firing sequence on a real-time oscilloscope — validated live against I1 = √6·Id and total RMS √(2/3)·Id, with %THD, a real harmonic-spectrum FFT and an LC output-filter resonance analyzer.

Three-phase current-source inverter (CSI) circuit diagram: DC source Vd, large DC-link inductor Ld carrying constant current id, six thyristors Q1 to Q6 in three legs, three output filter capacitors C and a three-phase star-connected load with neutral N, producing quasi-square line currents of amplitude Id with fundamental RMS √6·Id/π
Three-phase CSI — a stiff DC current Id (set by inductor Ld) is steered by Q1–Q6 into quasi-square line currents; the output capacitors filter them. Fundamental I1 = √6·Id/π.

Parameters

Set by the large DC-link inductor Ld — the input behaves as a stiff current source.

Output filter & load

Star-connected; provides a path for the stepped current and filters it to a sine.

Sampling & display

Presets

Waveforms to display

Waveforms — one fundamental period 120° CSI

iA inv iB inv iC inv fundamental load voltage load current
LIVE

Firing sequence & conducting pair (topic-specific)

A CSI must always keep a closed path for the DC-link current, so exactly one top device and one bottom device conduct at every instant. The six devices fire 60° apart in the order Q1→Q2→Q3→Q4→Q5→Q6, each conducting 120°. The highlighted box is the pair conducting at the marker.

Output LC-filter resonance analyzer (topic-specific)

The output capacitor C and the load inductance L form an LC filter with resonance fres = 1/(2π√(LC)). The inverter current is rich in 5th and 7th harmonics; if a harmonic lands near fres the load voltage is amplified and badly distorted. Keep the resonant order well below the 5th harmonic.

Harmonic spectrum

Inverter-current THD (relative to fundamental)
The quasi-square inverter current carries 5th, 7th, 11th, 13th… harmonics (no triplens). The output filter strongly attenuates them, so the load-current spectrum is nearly a single fundamental bar.

Measurements

Live accuracy check — simulation vs closed-form theory

Inverter-current fundamental  
Inverter-current total RMS  

What is a three-phase current-source inverter (CSI)?

A current-source inverter (CSI) is the dual of the voltage-source inverter. Instead of a large capacitor holding the DC bus at a stiff voltage, a large DC-link inductor Ld holds the DC-link at a stiff current Id. The six-switch bridge then steers that constant current into the three output phases, so the inverter produces quasi-square currents (not voltages). Because the current must always have a path, exactly one upper and one lower device conduct at all times, and an output capacitor is mandatory to absorb the stepped current and give the load a smooth voltage.

Output current, fundamental and RMS

In 120° conduction each device conducts for 120° and the six are fired 60° apart in the order Q1→Q2→Q3→Q4→Q5→Q6. Each line current is a quasi-square wave: +Id for 120°, zero for 60°, −Id for 120°, zero for 60°:

i1(peak) = 2√3·Id/π ≈ 1.103·Id · I1(rms) = √6·Id/π ≈ 0.780·Id
I(rms,total) = √(2/3)·Id ≈ 0.816·Id · THD ≈ 31% (no triplen harmonics)

This simulator forces the exact 120° switching current iinv = sk·Id and integrates the actual per-phase output network — star capacitor C in parallel with a star R-L load — with C·dv/dt = iinv − iload and L·diload/dt = v − R·iload, so every waveform, RMS and THD is exact.

Why the output capacitor and its resonance matter (topic-specific)

An inductive load cannot accept the sudden ±Id current steps, so the capacitor provides the missing path and filters the harmonics into a near-sinusoidal load voltage. The capacitor and load inductance form an LC filter with resonance fres = 1/(2π√(L·C)). The dominant inverter-current harmonics are the 5th and 7th; if the resonant order fres/f1 falls near them, the load voltage is amplified and heavily distorted. The resonance analyzer above computes fres, its harmonic order, and warns when a switching harmonic sits inside the resonant band.

CSI vs VSI — the duality

FeatureCurrent-source inverter (CSI)Voltage-source inverter (VSI)
DC linkLarge inductor → stiff current IdLarge capacitor → stiff voltage Vdc
Output shapeQuasi-square currentQuasi-square voltage
FundamentalI1 = √6·IdVLL1 = √6·Vdc
DevicesMust block reverse voltage (series diode)Need anti-parallel diode
Output filterCapacitor (mandatory)Optional / inductive
Fault behaviourInherently short-circuit safeNeeds shoot-through protection

Compare with the three-phase 180° VSI, the three-phase 120° VSI, and the single-phase single-phase CSI.

Applications

Very large medium-voltage motor drives (fans, pumps, compressors), load-commutated inverters (LCI) for synchronous-machine starting, and STATCOM/current-fed systems where inherent short-circuit protection and robust devices are valued.

Frequently asked questions

What is a current-source inverter?

An inverter fed from a stiff DC current (large DC-link inductor) instead of a stiff DC voltage. It produces quasi-square output currents of amplitude ±Id and needs an output capacitor to give the load a smooth voltage.

What is the output current fundamental?

For 120° conduction the fundamental peak is 2√3·Id/π, fundamental RMS √6·Id/π ≈ 0.78·Id, total RMS √(2/3)·Id ≈ 0.816·Id and THD ≈ 31%.

Why must a CSI have an output capacitor?

The bridge forces a stepped, discontinuous current. An inductive load cannot accept instantaneous current changes, so the capacitor provides the path for the difference and filters the current into a near-sinusoidal load voltage.

How is a CSI different from a VSI?

The CSI is the dual of the VSI: inductor vs capacitor DC link, quasi-square current vs voltage, reverse-blocking devices vs anti-parallel diodes, mandatory output capacitor, and inherent short-circuit protection.

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