Motor Winding Calculator

A motor winding calculator that computes coil turns, synchronous RPM, back-EMF, and Kv constant for DC, BLDC, AC induction, and stepper motors. Features an interactive SVG stator cross-section diagram with color-coded phase slots, star/delta connection visualization, and wire gauge selection with slot fill analysis. Free, no signup required.

Design Parameters

Calculation Results

Turns / Coil
15turns
Actual RPM
10,000RPM
Back-EMF
10.81V
Total Turns
90turns
Winding Factor
0.9659
Frequency
1166.67Hz
Sync RPM
10,000RPM
Kv Constant
925.3RPM/V
Phase Voltage
11.1V
Coils / Phase
2
Coil Pitch
1Slots
Slots/Pole/Phase
0.286
Summary

15 turns/coil × 2 coils × 3 phases = 90 total turns

Winding Visualization

Stator Cross-Section

14P / 12SΔ30T/slotNSNSNSNSNSNSNS123456789101112
Phase A
Phase B
Phase C
⊙ = Current In⊗ = Current Out--- = End Turn

Winding Distribution

Phase A4 slots × 30T = 120T
Phase B4 slots × 30T = 120T
Phase C4 slots × 30T = 120T
Total (all phases): 360T (3 phases × 120T)

Connection Diagram

Δ (Delta)ABCV_phase = V_line = 11.1V

Slot Assignment

1A+
2A-
3B+
4B-
5C+
6C-
7A-
8A+
9B-
10B+
11C-
12C+

Wire Selection

Need 30 turns/slot but only 0 fit — increase slot size or use thinner wire

20%75%

AWG Reference Table

AWGDiameterMax AΩ/m
141.628 mm5.9 A0.00828 Ω
181.024 mm2.3 A0.02095 Ω
220.644 mm0.92 A0.05296 Ω
260.405 mm0.361 A0.1339 Ω
300.255 mm0.142 A0.3385 Ω
340.16 mm0.056 A0.8561 Ω
380.101 mm0.022 A2.164 Ω
Recommended AWG
AWG 10
Wire Diameter
2.588mm
Max Turns/Slot
0turns
Total Resistance
0.009Ω
Total Wire Length
2.7m
Copper Weight
127.3g
Power Loss (I²R)
1.99W
Current Density
2.85A/mm²

⚠️ Warning: Required 30 turns/slot but only 0 fit. Consider thinner wire or larger slots.

Wire Summary

AWG 10 (2.588 mm) × 2.7 m = 127.3 g Cu

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What is a Motor Winding Calculator?

A motor winding calculator determines the number of coil turns needed for a given motor design based on supply voltage, target RPM, magnetic flux density, and core dimensions. It calculates key parameters including synchronous speed (RPM = 120f/P), back-EMF, winding factor, and Kv constant. This tool supports DC brushed, BLDC (brushless DC), AC induction, and stepper motor types with interactive stator cross-section diagrams showing phase slot assignments and star/delta connection layouts.

How to Use This Calculator

  1. Select your motor type (DC, BLDC, AC Induction, or Stepper) or choose a preset like NEMA 17 or BLDC 2212
  2. Set the number of poles and slots for your stator configuration
  3. Enter supply voltage, target RPM, magnet type, and core area
  4. View calculated turns per coil, actual RPM, back-EMF, and Kv constant in the results panel
  5. Switch to Visualization tab to see the interactive stator diagram and connection layout
  6. Use the Wire Selection tab to find the optimal AWG gauge based on target current and slot dimensions

Frequently Asked Questions

How do I calculate the number of turns for a BLDC motor?

For a BLDC motor, the turns per coil are calculated using the EMF equation: E = 4.44 × f × N × Φ × Kw, where f is electrical frequency, N is turns, Φ is magnetic flux, and Kw is the winding factor. Enter your supply voltage, target RPM, flux density, and core area, and the calculator will determine the optimal turns per coil.

What is the difference between star (Y) and delta (Δ) connection?

In star (Y) connection, phase voltage equals line voltage divided by √3 (about 57.7% of line voltage), resulting in more turns with thinner wire. In delta (Δ) connection, phase voltage equals line voltage, requiring fewer turns but thicker wire. Star is common for high-voltage motors; delta for high-current applications.

How does the number of poles affect motor RPM?

Synchronous RPM is inversely proportional to the number of poles: RPM = 120 × frequency / poles. A 2-pole motor at 60Hz runs at 3600 RPM, while a 4-pole motor runs at 1800 RPM. More poles give lower speed but higher torque for the same power.

What wire gauge should I use for motor winding?

Wire gauge depends on the target current and available slot space. The calculator recommends an AWG gauge based on your current requirement, then checks if the required turns fit in the available slot area considering the fill factor (typically 40-55%). A current density below 8 A/mm² is recommended for continuous operation.

What is the winding factor and why does it matter?

The winding factor (Kw) is the product of the distribution factor and pitch factor, typically between 0.85 and 0.96. It represents how effectively the winding produces a sinusoidal magnetic field. A higher winding factor means better utilization of the stator slots and more efficient torque production.

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