Controlled Rectifier Calculator
A single-phase full converter on 230 V fired at 30° gives 179.33 V average output, from V_dc = (2Vₘ/π) cos α.
179.330264283746 V
Full answer, then cut to fewer decimals (not rounded):
- 179.330264283746 V
- 179.33026428374 V
- 179.3302642837 V
- 179.330264283 V
- 179.33026428 V
- 179.3302642 V
- 179.330264 V
- 179.33026 V
- 179.3302 V
- 179.330 V
- 179.33 V
- 179.3 V
- With α = 0 (diode rectifier)
- 207.0727527 V
- DC output power V_dc I_d
- 1793.302643 W
- Input power factor (ripple-free I_d)
- 0.7796968012
- Operation
- rectifying
Step-by-step solution
- Vₘ = √2 × 230 = 325.2691193 V
- V_dc = (2Vₘ/π) cos α
- V_dc = 179.3302643 V at α = 30°
Controlled Rectifier Formula
V_dc = (2Vₘ/π) cos α (1-φ full), 1.35 V_LL cos α (3-φ full)
semi-converter (Vₘ/π)(1 + cos α); half-wave R load (Vₘ/2π)(1 + cos α)
Worked Example
A single-phase full converter on 230 V with α = 30° and continuous current:
- Vₘ = √2 × 230 = 325.2691193 V
- V_dc = (2Vₘ/π) cos α
- V_dc = 179.3302643 V at α = 30°
DC output power V_dc I_d: 1793.302643 W · Input power factor (ripple-free I_d): 0.7796968012 · Operation: rectifying
GATE tip
Overlap from source inductance reduces the output by 3ωL_sI_d/π (three-phase) or 2ωL_sI_d/π (single-phase). It is a frequent follow-up after the basic V_dc.
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Buck Vₒ = DVᵢₙ, boost Vₒ = Vᵢₙ/(1 − D), buck-boost |Vₒ| = DVᵢₙ/(1 − D)
buck ripple ΔI = Vₒ(1 − D)/(fL), ΔV = ΔI/(8fC)
Example: A buck converter from 24 V at 50 % duty, 2 A load, 100 kHz, 100 µH, 100 µF: Output voltage Vₒ = 12 V.
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Rectifier Calculator
V_dc = 2Vₘ/π (no filter), V_r ≈ I/(f_r C)
f_r = f (half-wave) or 2f (full-wave); with a capacitor V_dc ≈ Vₘ − V_r/2
Example: A bridge rectifier on 12 V RMS, 0.7 V diodes, 50 Hz, 0.5 A load and 2200 µF: DC output voltage = 14.4342 V.
Frequently asked questions
When does a full converter invert?
For α > 90° with continuous current, V_dc is negative while the current stays positive, so power flows from the DC side back to the AC supply.
Why does power factor fall with α?
The current is delayed by α relative to the voltage, so the displacement factor is cos α. With harmonics, the full power factor is 0.9 cos α (1-φ) or 0.955 cos α (3-φ).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Controlled Rectifier Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/controlled-rectifier-calculator/
IEEE
Scientific Converters, "Controlled Rectifier Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/controlled-rectifier-calculator/