How does an electric transformer work?

The grey box on your street's pole has no moving parts, yet it turns 11,000 volts into the 230 volts in your socket. A transformer is two coils of wire wound on a core of thin steel sheets. Every turn on the core feels the same volts, so V₂ ÷ V₁ = N₂ ÷ N₁.

The grey box on your street's pole has no moving parts, yet it turns 11,000 volts into the 230 volts in your socket. Open one up in 3D, watch the flux swing through its iron core, and follow the power from a 400 kV line to your phone charger.

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In 60 seconds

  1. Two coils, one iron core

    A transformer is two coils of wire wound on a core of thin steel sheets. AC in the first coil makes a magnetic flux that swings back and forth 50 times a second round the core, and that changing flux induces a voltage in the second coil. The coils never touch.

  2. Turns set the voltage

    Every turn on the core feels the same volts, so V₂ ÷ V₁ = N₂ ÷ N₁. The pole transformer on an Indian street has about 2,464 turns on its 11 kV side and 56 on its 250 V side. Power in ≈ power out, so when the voltage goes down 44 times, the current goes up 44 times. On DC the flux stops changing and nothing comes out.

  3. Step up, then step down

    A power station's 21 kV is stepped up to 400 kV so the long lines carry little current and lose little as I²R heat. Substations step it down, 220, 132, 33, 11 kV, and the pole transformer makes 433 V (230 V per phase). A phone charger's SMPS does the last step at about 65 kHz with a fingernail-sized core.

  4. Where the 1–2% goes

    Core loss (hysteresis and eddy currents in the steel) is there all day; thin 0.27 mm laminations and amorphous metal keep it small. Copper loss grows with the load squared. Hot oil rises past the coils, cools in the radiator fins and sinks back. India's BEE star label rates transformers by their losses.

  5. Three phases, delta and star

    The pole transformer is delta on the 11 kV side and star on the 433 V side. From any phase to the star point, the neutral, you get about 230 V; between two phases, √3 × 230 ≈ 400 V. Balanced loads cancel in the neutral; the neutral carries only the imbalance.

  6. Heat, faults and safety

    Overload on a hot night and the windings' paper insulation ages twice as fast for every 6 °C above 98 °C. Inside faults make gas, which a Buchholz relay catches to sound an alarm or trip. Never climb a transformer structure or open its box: if you see smoke or leaking oil, keep away and call the electricity helpline.

The history

Nearly two centuries from Faraday's iron ring to the 1,200 kV giants tested in Madhya Pradesh.

Read the full history
  1. 1831Faraday's induction ring
  2. 1885A closed core, and the word “transformer”
  3. 1888The war of the currents
  4. 1902Sivasamudram to the Kolar Gold Fields
  5. 2012A 1,200 kV transformer at Bina

The full explanation

TransformerClear, chapter by chapter

Chapter 1

Inside the transformer on your street

A steel tank of oil with an iron core and two sets of copper coils. No moving parts.

Look up at almost any Indian street and you'll find one: a grey-green box on a platform between two poles. It is a distribution transformer. It takes 11,000 volts from the wires above and turns it into the 433 volts (230 V per phase) that goes to about a hundred homes and shops.

It has no moving parts. Inside the steel tank sits a core of thin, stacked sheets of special steel called CRGO (cold-rolled grain-oriented). Round each of its three legs are two coils: a thin LV winding of fat copper strip close to the core, and a tall HV winding of thousands of turns of fine wire outside it.

Everything is soaked in mineral oil. The oil insulates the coils and carries their heat to the radiator fins, where the air cools it. Oil swells when it's hot, so a drum on top, the conservator, gives it room. As the oil shrinks and swells the transformer "breathes" through a jar of silica gel that dries the air. Blue gel is dry; pink means it's full of water and needs changing.

The tall HV bushings on top take the 11 kV in, through fuses and lightning arresters on the cross-arm. The short LV bushings send out three phases and a neutral.

Try “The box on the pole” in the interactive model →

Chapter 2

Changing flux, induced voltage

AC in one coil makes a changing flux in the core, and that flux makes a voltage in the other coil.

A transformer is two coils of wire wound on one iron core. They never touch. Feed the first coil, the primary, with AC and its current makes a magnetic flux in the core. Because the current keeps reversing, 50 times a second in India, the flux keeps growing, shrinking and reversing too.

That changing flux runs round the core and through the second coil, the secondary. Faraday found that a changing flux makes a voltage in every turn of wire it passes through (see FaradayClear). Every turn on the core feels the same volts. So the voltages go as the turns: V₂ ÷ V₁ = N₂ ÷ N₁.

Energy is conserved, so if the voltage goes down, the current goes up by the same factor: I₂ ÷ I₁ = N₁ ÷ N₂. Power in ≈ power out. A good transformer wastes only 1 to 2%.

How much flux does the core carry? The EMF equation says E = 4.44 × f × N × Φmax. For the pole transformer: 250 V ÷ (4.44 × 50 × 56 turns) = 0.02 webers. Squeeze that through too small a core, or feed it too low a frequency, and the iron saturates: it can't carry any more flux.

And on DC? The flux is steady, so nothing changes and the secondary gives zero volts. Only the wire's resistance holds back the current, which becomes huge. The coil would cook.

Try “Two coils, one core” in the interactive model →

Chapter 3

From power station to phone

Up to 400,000 volts to cross the country, then down, step by step, to 5 volts for your phone.

A big power station generator makes about 21,000 volts. Right beside it, a huge generator transformer steps that up to 400,000 volts (or 765,000) for the long-distance lines.

Why so high? The power is volts × amps. At 400 kV the same power needs 19 times less current than at 21 kV. The heat lost in the wires goes as the current squared, I²R, so it falls by about 360 times. High voltage is how India moves power from coal fields in Chhattisgarh and solar parks in Rajasthan to cities a thousand kilometres away (see PowerLineClear).

Near the cities, substations step it down in stages: 400 → 220 → 132 → 33 → 11 kV. Each lower voltage is safer and cheaper to run down smaller lines and streets. The pole transformer makes the last big step: 11 kV to 433 V, which reaches your wall socket as about 230 V.

The chain doesn't stop there. Your phone wants 5 volts. An old-style adapter used a small 50 Hz iron transformer, heavy for its size. A modern charger is a switch-mode power supply (SMPS): it turns mains into DC, chops it at about 65,000 times a second, and uses a transformer as small as a fingernail. Higher frequency means far less core is needed.

Try “Step up, step down” in the interactive model →

Chapter 4

Where the lost energy goes

Core loss is there all day. Copper loss grows with the load squared. Oil and fins carry the heat away.

A distribution transformer is about 98 to 99% efficient. But it runs every hour of every year, and India has millions of them, so the lost 1–2% adds up to a lot of coal.

Core loss (no-load loss) happens whenever the transformer is switched on, even with nothing connected. Two things cause it. Hysteresis: the steel's tiny magnetic domains flip 100 times a second, and each flip wastes a little energy. Eddy currents: the changing flux also drives little swirls of current inside the steel itself, heating it.

That's why the core is made of thin laminations, each about 0.27 mm thick and coated with insulation. The swirls are trapped inside each thin sheet, and eddy loss falls with the square of the thickness. Amorphous steel, a glassy ribbon ten times thinner, cuts core loss by about three-quarters.

Copper loss is the I²R heat in the windings. It grows with the square of the load: double the load, four times the heat. Efficiency peaks where copper loss equals core loss.

The heat warms the oil. Hot oil rises past the coils, flows into the radiator fins, cools and sinks back down. No pump, no fan: this is called ONAN (oil natural, air natural) cooling. India's BEE star label rates distribution transformers by their total losses at half and full load; more stars, less waste.

Try “Losses and heat” in the interactive model →

Chapter 5

Three phases, delta and star

Three voltages, a third of a cycle apart. 400 V between phases, 230 V from any phase to neutral.

The grid doesn't carry one AC voltage but three, called phases (in India, R, Y and B: red, yellow, blue). Each one peaks a third of a cycle after the last, 120° apart, like three people pedalling a bicycle in turn. That gives smooth, steady power and lets motors start by themselves.

The pole transformer has three legs, one per phase. On the 11 kV side the three HV coils are joined in a triangle, called delta (Δ). On the LV side the three coils meet at one point, a star (Y). That star point is brought out as the neutral and connected to earth.

Between any phase and the neutral you get about 230 V: that's what most homes get. Between two phases you get √3 × 230 ≈ 400 V. You may hear "415 V": that's the older 240 V standard times √3. Shops, pumps and big air conditioners often take all three phases.

Why the neutral? Houses along the street are shared out among R, Y and B. If each phase carried exactly the same load, the three return currents would cancel and the neutral would carry nothing. Real streets are never balanced, so the neutral carries the difference back to the transformer.

Try “Three phases” in the interactive model →

Chapter 6

Summer overloads, fires and the Buchholz relay

Heat ages the insulation. A small relay listens for gas. And you should never go near one.

On a hot summer night, with every fan, cooler and AC running, a street transformer can be asked for far more than its rating. The copper loss grows with the square of the load, the oil heats up, and the hottest spot in the windings climbs.

That hot spot matters because the windings are wrapped in paper soaked in oil. Paper slowly turns brittle with heat. Engineers use a rule from IEC 60076-7: at 98 °C the paper ages at its normal rate, and every 6 °C hotter doubles the rate. A week of heavy overload can use up months of a transformer's life.

Old transformers can also fail from within: damp oil, cracked insulation or a lightning surge can start an arc inside the tank. The arc breaks the oil down into gas. Bigger transformers have a Buchholz relay in the pipe to the conservator. Slowly collecting gas lowers a float and sounds an alarm. A sudden arc pushes a surge of oil through it and trips the breaker in a fraction of a second. A leak that drains the oil sets it off too.

Transformer fires do happen in Indian cities, often in summer, and burning oil is hard to put out. Stay safe: never climb a transformer structure or open its fence or box. Keep well clear of the lines: electricity can jump a gap at 11 kV. If you see sparks, smoke or leaking oil, keep away and call your electricity company's helpline. Only licensed electricians and lineworkers should touch it.

Try “Failures and safety” in the interactive model →

Test yourself

Frequently asked

What does a pole transformer on an Indian street usually do?

Turns 11,000 V into 433 V (230 V per phase) for homes. It steps the 11 kV distribution voltage down to the low voltage that homes and shops use.

Why is the transformer filled with oil?

To insulate the coils and carry their heat to the fins. There are no moving parts. Oil is a good insulator and moves heat from the coils to the radiator fins.

The silica gel in the breather has turned pink. What does that mean?

The gel has soaked up water and needs replacing. Blue indicating gel turns pink as it absorbs moisture. Wet gel lets damp air reach the oil.

A transformer has 2,464 turns on its 11,000 V primary and 56 on its secondary. What is the secondary voltage?

About 250 V. V₂ = V₁ × N₂ ÷ N₁ = 11,000 × 56 ÷ 2,464 ≈ 250 V, one phase of the 433 V supply.

The voltage is stepped down 44 times. What happens to the current?

It goes up about 44 times. Power in ≈ power out, so a lower voltage means a proportionally higher current: I₂ ÷ I₁ = N₁ ÷ N₂.

Why does a transformer give nothing out on steady DC?

Steady current makes steady flux, and only changing flux induces a voltage. Faraday’s law: EMF = N × rate of change of flux. No change, no voltage.

Why does the grid step voltage up to 400 kV for long lines?

The same power needs far less current, so far less is lost as I²R heat. Power = V × I. Raise V and I falls; the loss I²R falls with the square of the current.

Going from 11 kV to 433 V, the current…

rises about 25 times. Voltage down by 11,000 ÷ 433 ≈ 25, so current up by the same factor for the same power.

Why is an SMPS phone charger so much smaller than an old adapter?

It runs its transformer at about 65 kHz, so it needs a far smaller core. E = 4.44 f N Φ: at a thousand times the frequency, far less flux (and so far less core) makes the same volts.

Why is a transformer core built from thin insulated sheets instead of a solid block?

To trap eddy currents in thin sheets, which cuts eddy loss sharply. Eddy loss grows with the square of the sheet thickness. Thin laminations keep the swirls small.

The load on a transformer doubles. Its copper loss…

becomes four times bigger. Copper loss is I²R. Double the current, four times the loss.

What makes the oil flow round an ONAN transformer?

Hot oil rises and cooled oil sinks: natural convection. Oil natural, air natural: warm oil rises past the coils, cools in the fins and sinks back.

The phase-to-neutral voltage is 230 V. What is the voltage between two phases?

About 400 V (230 × √3). The phases are 120° apart, so the difference between two is √3 times the phase voltage: 230 × 1.73 ≈ 400 V.

All three phases carry the same current. How much flows in the neutral?

About zero. Three equal currents 120° apart add up to zero. The neutral only carries the imbalance.

On a Dyn11 pole transformer, how is the 11 kV side connected?

Delta, with no neutral. D means the HV side is delta; yn means the LV side is star with the neutral brought out.

Why does a heavy summer overload shorten a transformer’s life?

The hot spot rises, and paper insulation ages twice as fast for every 6 °C. Copper loss grows with load squared; the hotter paper ages exponentially faster.

What does a Buchholz relay detect?

Gas and sudden oil surges from faults inside the tank. Faults break oil into gas. Gas collects in the relay (alarm); a violent arc pushes a surge of oil (trip).

You see oil dripping and smoke from a pole transformer. What should you do?

Keep well away and call the electricity helpline. It carries 11,000 V and may catch fire. Keep clear and let the utility deal with it.

Words worth knowing

Mutual induction
A changing current in one coil makes a voltage in another coil that shares its magnetic flux.
Turns ratio
N₂ ÷ N₁, the ratio of secondary to primary turns. It sets the voltage ratio, and the current ratio the other way round.
EMF equation
E = 4.44 f N Φmax: the rms voltage of a coil of N turns carrying a sine-wave flux of peak Φmax at frequency f.
CRGO steel
Cold-rolled grain-oriented silicon steel, whose lined-up crystals let flux flow easily along the sheet.
Eddy currents
Swirls of current induced inside the core itself; thin insulated laminations keep them small.
Core and copper loss
Core loss is wasted in the steel whenever the transformer is on; copper loss is I²R heat in the windings and grows with load squared.
Delta and star
Two ways to join three coils: in a triangle (delta, no neutral) or at one common point (star, with a neutral).
ONAN cooling
Oil natural, air natural: hot oil rises and cool oil sinks through the radiator fins with no pump or fan.
Buchholz relay
A device in the pipe to the conservator that detects gas and oil surges from faults inside the tank.

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