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Switched-Mode Power Supplies

Rectify first, then switch fast — one reordering, and the transformer shrinks a thousandfold. Everything awkward about an SMPS follows from that same decision.

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A switched-mode supply rectifies the mains first and then switches at high frequency into a small transformer — one reordering that shrinks the magnetics a thousandfold and raises efficiency from about 40% to over 90%, at the cost of harmonics and EMI.

The reordering

A linear supply steps down with a 50 Hz transformer, whose size is fixed by that frequency, then burns the difference in a regulator. A 5 V 2 A output from a 12 V rail wastes 14 W to deliver 10 W.

An SMPS rectifies the mains directly to about 325 V DC, then chops it at 100 kHz into a small high-frequency transformer. Core size falls roughly as 1/f, so the magnetics shrink by three orders of magnitude.

That single reordering — rectify first, switch fast — is why a modern charger fits inside a plug pin. Everything else about an SMPS follows from it, including the awkward parts.

Isolation

The high-frequency transformer provides galvanic isolation between the mains and anything the user can touch — a safety requirement with legally specified creepage and clearance distances.

The regulation feedback must cross the same barrier without breaching it, which is why an optocoupler sits in almost every SMPS control loop — and why it is a reliability item worth specifying carefully.

Efficiency

TypeTypical efficiencyComment
Linear≈ 40%Most of the loss is deliberate dissipation
Hard-switched SMPS85 – 90%Loss is conduction plus switching
Resonant / soft-switched> 94%Transitions at zero voltage or zero current

The savings compound: less heat means a smaller heatsink, a smaller enclosure and less material throughout. No-load consumption fell too, which is what standby power regulations were written to capture.

The harmonic problem

The front-end capacitor charges only while the mains exceeds its voltage, so the input current is a train of narrow spikes rich in harmonics. This is a distortion power-factor problem, not a displacement one — so no capacitor bank corrects it.

The third harmonic adds rather than cancels across three phases, overloading neutral conductors. One supply is negligible; a building full of them is a genuine network problem, which is why active PFC is mandatory above 75 W in the EU.

Active power-factor correction

An active PFC stage is a boost converter whose control loop forces the input current to follow the rectified mains waveform, giving a power factor above 0.99. It also delivers a stable 400 V bus, which simplifies the stage after it.

EMI

Fast switching generates interference that leaves conducted along the mains lead and radiated from the current loops. Input filtering handles the first; layout that keeps high-di/dt loops small handles the second.

Conformance testing is a legal requirement and a failure means redesign rather than a tweak, which is why EMI is planned from the first schematic. Spread-spectrum modulation dithers the switching frequency to smear the peaks below the limit.

The numbers you will be asked for

Rectified mains

V_dc ≈ √2 × V_ac

≈ 325 V from 230 V

Transformer core size

roughly ∝ 1 / f

Flyback transfer

V_out = V_in · (N_s/N_p) · D/(1−D)

Efficiency

η = P_out / (P_out + P_conduction + P_switching)

PFC boost output

V_bus ≈ 400 V, above the mains peak

Watch it work

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Check yourself

question 1 / 4

One question at a time. Pick an answer to see why it is right or wrong, then move on — there is no score to keep and nothing is saved.

What single decision makes a switched-mode supply small?
Why is there an optocoupler in almost every SMPS?
An SMPS has a power factor of 0.6. Will a capacitor bank fix it?
Why is EMI designed in from the first schematic rather than fixed at the end?

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