Electronics & General Electrical
Three-Phase Rectifier Output Calculator
Average DC output voltage and ripple frequency for a 6-pulse three-phase bridge rectifier.
About this calculator
A six-pulse rectifier — a three-phase full-wave diode bridge — produces a DC output whose average value is V_dc = (3√2/π) · V_LL ≈ 1.35 · V_LL, where V_LL is the RMS line-to-line AC input voltage. Because the bridge commutates between six line-to-line voltage segments per cycle, the ripple frequency on the output is six times the AC supply frequency (360 Hz on a 60 Hz supply), which is both a much higher ripple frequency and a much smaller ripple magnitude than a single-phase rectifier of the same rating — one of the main reasons three-phase rectification is used for anything beyond small power levels.
This calculator also reports the peak inverse voltage (PIV) each diode must block — √2 · V_LL for a three-phase bridge — and, if you provide a load resistance, the resulting DC current and power delivered to the load.
This is the ideal, unloaded-commutation case: it assumes zero source impedance (instantaneous commutation between diodes), ideal diodes with no forward voltage drop, and a purely resistive load. Real source impedance causes commutation overlap that reduces average DC voltage below the ideal value, and diode forward drop further reduces it — both effects grow with load current. For a precise design, add a commutation-overlap correction and diode drop allowance on top of this ideal-case result.
Assumptions
- Ideal diodes (zero forward voltage drop) and zero source impedance (instantaneous commutation, no overlap).
- Purely resistive load; no output filtering (inductor/capacitor) modeled.
- Balanced three-phase sinusoidal supply.
When to use this calculator
Appropriate for
- Estimating average DC output voltage and ripple for an ideal six-pulse three-phase rectifier
- First-pass sizing of a DC bus voltage from a known AC line voltage
- Teaching the relationship between line voltage and rectified output for polyphase rectifiers
Not suitable for
- Rectifiers with significant source impedance or commutation overlap, which lower the output below the ideal value
- Controlled (thyristor) rectifiers at nonzero firing angle, or configurations other than the standard six-pulse bridge
- Harmonic, filter, or thermal design of the DC link without a fuller model
What this calculator does not cover
- Ideal bridge with zero source impedance — commutation overlap in a real system reduces the average DC output below the ideal 1.35 × V_LL.
- Resistive load model; capacitor-input filters and motor loads draw very different current waveforms and stress the diodes differently.
- No harmonic analysis — six-pulse rectifiers inject significant 5th and 7th harmonic currents that may need mitigation under IEEE 519.
- As with every calculator on this site: results are preliminary and educational, are not verified for any specific installation, and must be reviewed against the applicable code edition and stamped by a licensed Professional Engineer before real-world use.
Frequently asked questions
Why is the ripple frequency six times the AC frequency?
A three-phase full-wave bridge has six diodes that each conduct for 60° of the AC cycle, so the output voltage traces six similar segments per cycle — one commutation, and therefore one ripple, every 60° of electrical angle.
Why is three-phase rectification preferred over single-phase for higher power?
It produces both a higher ripple frequency and a much smaller ripple magnitude relative to the average DC voltage, which reduces filtering requirements, and it draws current more evenly across all three source phases rather than pulsing a single phase.
Does the real output voltage match this ideal calculation?
It will be somewhat lower. Real source impedance causes commutation overlap between diodes, and each diode's forward voltage drop subtracts further — both effects increase with load current, so measured V_dc is always a bit below the ideal 1.35 × V_LL figure.
References
- Mohan, Undeland, Robbins, Power Electronics, 3rd ed., Ch. 5 — Line-Frequency Diode Rectifiers
- Rashid, M., Power Electronics, 4th ed., Ch. 3
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