Engines

The rotating magnetic field

Engines · Electric · Demo

Three coils that never move, three currents out of step — and the magnetism between them spins.

abcstator fixed — field turning at 1500 rpma + b + c = one steady vector, length 1.5×the three currents, 120° apart in time900180027003600shaft speed (rpm) — inverter sweeping f, 2 pole pairsbase speed — back-EMF meets the voltsconstant torqueconstant power, then fadingpeak torque (N·m)power = T × ω (peak 19 kW)loadyou are here

Machine

Same stator, same rotating field — only the rotor changes. The cage runs on slip; the magnet locks in step (and is started pre-synchronised, as a real one must be).

Supply (the inverter)

Time

Slowed ~50×: a 1 500 rpm field crosses the screen twice a second. Restarting the cage replays a direct-on-line start — full torque from the first instant.

Readout

Spinning up on deep slipThe field is sweeping past the bars fast, inducing heavy currents — this is the direct-on-line start. Torque exists all the way from 0 rpm, which no piston engine can claim.
Field speed Ns = 120·f/poles1500 rpm
Rotor speed0 rpm
Slip100.0%
Shaft torque35.2 N·m
Mechanical power0.0 kW

Torque needs only field × current, and both exist before the shaft ever moves — that is why an electric motor pulls hard from 0 rpm.

In plain terms

three currents, 120° out of step
Three fixed windings, currents 120° apart — their sum is one field vector, rotating

Every AC motor is built on one trick, spotted by Galileo Ferraris and Nikola Tesla in the 1880s. Wind three coils into a ring of iron, 120° apart in space. Feed them three alternating currents, 120° apart in time — which is exactly what the three wires of a three-phase supply carry. Each coil only pulses along its own axis, but the three pulses always add up to a magnetic field of constant strength pointing in a direction that rotates, smoothly, at the supply frequency. No moving parts make it spin. Drop in a magnet and it locks on and turns in step; drop in a cage of copper bars and it gets dragged around slightly slower. That is the entire secret of the synchronous and induction motor.

More detail

How it works

Nothing moves, yet the field spins

Each winding alone makes a field that just throbs back and forth along its axis. But sum three throbbing fields, spaced 120° in both space and time, and the wobble cancels perfectly: the result is a vector of constant length 1.5× the phase peak, gliding round at the supply frequency. It is a pure interference effect — the same mathematics as three overlapping waves making one travelling wave.

Speed comes off the grid, not off a throttle

The field turns once per AC cycle divided by the number of pole pairs: n = 120·f/poles rpm. A 2-pole machine on 50 Hz spins its field at exactly 3 000 rpm, a 4-pole at 1 500 — which is why generators, pumps and old workshop motors all hum at those magic speeds. Change the speed and you must change the frequency: that is the whole job of the inverter in an EV.

Induction: the motor that runs on lag

A squirrel-cage rotor has no magnets and no wires to the outside — just shorted copper bars. It only feels a force while the field sweeps past it, because the sweeping is what induces its currents. So it can never quite catch up: it runs a few percent slower than the field, and that shortfall — the slip — is precisely where its torque comes from. Load it harder and it slips more, pulling more current, up to a breakdown point beyond which it stalls.

Synchronous: locked in step

Give the rotor its own field — permanent magnets in most EV motors — and it snaps into lock with the rotating field, turning at exactly synchronous speed. Load it and it falls back by a fixed angle, like a magnetic spring being stretched; torque grows with that angle up to a pull-out limit, past which the lock breaks and the rotor slips poles. Zero slip means no rotor currents to heat things up — one reason permanent-magnet machines dominate EVs.

Key numbers

Field speedn = 120·f / poles rpm — 50 Hz, 2 poles → 3 000 rpm
Field strengthConstant: 1.5 × one phase’s peak, from the 3-phase sum
Induction slipTypically 2–5% at rated load; torque needs some slip
Synchronous lockZero slip; torque = pull-out × sin(load angle)
EV drive regionsFull torque from 0 rpm to base speed, constant power beyond
InventedFerraris & Tesla, independently, 1885–1888