Motor Winding Simulator
Design 3-phase AC induction and BLDC motor stator windings. Generate slot-pole distributions, compute fundamental winding factor (kw), and visualize the rotating magnetic flux in real time.
What is a Motor Stator Winding?
A motor stator winding is an insulated copper conductor coil layout placed inside the stamped steel lamination slots of an electric machine. When energized by balanced three-phase alternating currents, these stationary windings establish a continuous, sinusoidal Rotating Magnetic Field (RMF) that cuts across rotor bars or permanent magnets, generating mechanical electromagnetic torque.
Optimal winding design requires selecting an ideal slot-to-pole ratio, calculating distribution and pitch factors, and choosing between single and double-layer arrangements to maximize motor torque density while minimizing unwanted space harmonic losses and acoustic noise.
How to Use the Motor Winding Simulator
Configure electric motor stators and evaluate electromagnetic parameters in four easy steps.
Select Stator Slots
Choose standard lamination slot counts (12, 18, 24, or 36) matching your motor frame size.
Set Pole Count
Pick 2, 4, 6, or 8 poles to govern base rotational speed and torque characteristics.
Toggle Winding Layers
Switch between Single-Layer (concentric) and Double-Layer (lap) configurations to inspect coil placement.
Inspect Rotating Field
Watch the central magnetic flux vector rotate at synchronous speed Ns = 120f / P.
Key Design & Simulation Features
Created for electric vehicle engineers, motor repair rewinding shops, and electrical students.
Circular Lamination Visualizer
2D stator cross-section renders individual teeth, slot numbers, and 3-phase coil color tags.
Winding Factor (kw) Engine
Computes pitch factor (kp), breadth distribution factor (kd), and net winding factor (kw).
Synchronous Speed Telemetry
Instant readout of base rotational speed (RPM) for standard 50 Hz and 60 Hz electrical grids.
Governing Stator Winding Equations
The fundamental quantity determining winding balance is the slots per pole per phase \(q\):
Where \(S\) is slot count, \(m = 3\) is phase count, and \(P\) is pole count. The electrical slot pitch angle \(\gamma\) is:
The breadth distribution factor \(k_d\) and coil chording pitch factor \(k_p\) combine to yield the total winding factor \(k_w\):
The synchronous speed \(N_s\) of the rotating magnetic field in revolutions per minute (RPM) is:
Industrial & Automotive Applications
Electric Vehicle (EV) Hairpin Traction Motors
Modern electric vehicles utilize rectangular copper hairpin windings inserted into stator slots. Compared to traditional stranded wire, hairpin windings increase slot fill factor from 45% to over 70%, dramatically boosting power density and cooling efficiency.
Industrial Induction Pumps & Compressors
Squirrel-cage induction motors powering refinery pumps and HVAC chillers use chorded double-layer windings to eliminate the 5th and 7th spatial harmonics, reducing rotor heating and meeting IE4 super-premium efficiency standards.
Frequently Asked Questions
The slots per pole per phase value (q = S / (m * P)) defines how many stator slots are allocated to each individual electrical phase per magnetic pole. An integer q yields balanced integral slot windings, while a fractional q reduces cogging torque and harmonic distortion.
The winding factor (kw = kd * kp) measures the reduction in induced electromagnetic EMF resulting from distributing coils across multiple slots and short-pitching (chording) coils to eliminate unwanted spatial harmonics.
When three sinusoidal currents separated by 120° in time pass through three stator phase windings separated by 120° in space, their vector superposition produces a constant-magnitude magnetic field that rotates smoothly at synchronous speed Ns = 120f / P.
In single-layer windings, each stator slot holds only one coil side, meaning the total number of coils is half the slot count (S/2). In double-layer windings, each slot accommodates two coil sides (top and bottom), allowing flexible fractional-pitch chording to cancel harmonics.