Controlled Rectifiers
Delay the firing angle past 90° and the same hardware starts sending power back to the mains — which is regenerative braking, with nothing rewired.
Skip to the animationReplacing rectifier diodes with thyristors makes the DC output continuously adjustable as V_dc0·cos α — and past α = 90° the average output reverses, so the same converter sends power back into the mains, which is regenerative braking.
The firing angle
A thyristor conducts only after a gate pulse and only while forward-biased. Delaying the pulse by a firing angle α discards the first part of each half-cycle, so the average output follows V_dc = V_dc0·cos α — continuously adjustable with nothing dissipating the difference.
That is why controlled rectifiers replaced Ward-Leonard motor-generator sets in DC drives: one control variable, no rotating machinery, and no rheostat burning the surplus.
Inversion
Beyond α = 90° the average output voltage becomes negative while current continues in the same direction — so power flows from the DC side into the mains. The hardware is unchanged; only the firing angle moved.
Inversion requires the DC side to be a source — a battery, or a motor spun by the load's inertia. A descending lift or decelerating train drives its motor as a generator, and regenerative braking recovers 10–20% of a metro system's traction energy.
The cost: harmonics
With a large DC-side inductor, the line current is a rectangular block rather than a sinusoid, producing harmonics at 6n ± 1 — the 5th, 7th, 11th and 13th. They flow back into the supply, distorting the voltage for other customers and overheating transformers.
| Configuration | Harmonics present | Comment |
|---|---|---|
| 6-pulse bridge | 5th, 7th, 11th, 13th … | The standard case |
| 12-pulse (delta + star) | 11th, 13th, 23rd … | 5th and 7th cancel between the two bridges |
| 24-pulse | 23rd, 25th … | Used on the largest HVDC installations |
The cost: power factor
Delaying the firing angle delays the current block, so its fundamental lags the voltage by α — the control mechanism and the phase shift are the same thing. Displacement power factor is cos α, so at half output the converter draws heavily lagging current.
Total power factor is worse still once the harmonic distortion factor is included. A drive running at reduced output is doing considerable damage to the supply's power quality.
Where they survive
Thyristor rectifiers persist where power is extreme and ruggedness matters — HVDC at gigawatt scale, electrochemical plant, large generator excitation systems.
Below that, PWM active front ends with IGBTs give unity power factor, near-sinusoidal input current and bidirectional flow, at the cost of more switches and a controller. Harmonic regulations have made that trade increasingly compulsory.
The numbers you will be asked for
- Single-phase full-wave
V_dc = (2V_m/π)·cos α
- Three-phase bridge
V_dc = (3√3 V_m/π)·cos α
- Inversion condition
α > 90°, with a DC-side source
- Displacement power factor
pf = cos α
- Harmonic orders
h = pn ± 1
p is the pulse number
Watch it work
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