Three-phase tooth coils · Reviewed

AFPM Motor Concentrated Winding: Tool & Guide

Check winding factor and electrical frequency, then compare the evidence and validation steps for your layout.

Winding checker

Method ↓
Three-phase iron-tooth winding inputs. All fields are required.

3–96, integer

2–96, even

Reference layout · preliminary result

Reference kw
0.9330
Electrical frequency
300.0 Hz
Slots / pole / phase
0.4000
Cogging order
60 / rev

LCM gives ideal repetition order; ripple amplitude is unknown.

Fundamental EMF utilization for the reference connection
kw = kp 0.9659 × kd 0.9659. This is an EMF factor, not motor efficiency.

Next step: Confirm coil polarity, phase assignment and series/parallel paths; then validate back-EMF, torque ripple and losses with 3D FEA and a prototype.

Assumes three phases, equal turns, one-slot coil pitch and the catalog phase assignment. Not calculated: MMF THD, magnet loss, segment count, copper savings, thermal rating, inductance or fault tolerance. A high kw alone does not qualify a motor.

0–30000

Three phases; equal turns.

Optional geometry refinement

Defaults: OD 280 mm, ID 180 mm. These dimensions affect pitches only, not kw or electrical frequency. Geometry fields must remain valid.

40–800

20–799.9

Active radial span: 50.00 mm. At mean diameter 230.0 mm: tooth pitch 60.21 mm; pole pitch 72.26 mm. Tooth width and end turns need drawings.

Results update immediately in your browser. A missing catalog factor leaves frequency and geometry available. No motor performance is inferred.

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Published · Updated · Publisher: Magatom Dynamics Co., Ltd.. Analytical screening and software examples; no measured motor performance or independent certification is claimed.

1. What the screening result lets you decide

  • Shortlist a connection, then validate it. The 12S/10P and 12S/14P double-layer reference layouts both have kw = 0.9330. This describes fundamental EMF utilization, not efficiency. Winding synthesis method.
  • Account for frequency before increasing pole count. At 3,600 rpm, 10 poles give 300 Hz and 14 poles give 420 Hz, using fe = (2p)n/120. The higher frequency changes the inverter and loss-analysis requirements.
  • Separate winding-factor quality from rotor heating. Nonworking spatial harmonics need their own loss analysis; a good fundamental factor cannot establish magnet temperature. Rotor harmonic-loss study.
  • Use topology for packaging decisions. A yokeless segmented armature enables individually wound teeth, but retaining structure and cooling remain design tasks. YASA primary record.
Decision confidence at this stage
Known from this toolStill unknownEvidence needed next
q, electrical frequency and geometric pitchesTorque, voltage constant and continuous powerTurns, flux linkage, current loading and duty
Reference-layout kw, where catalogedBalance of your actual series/parallel connectionSigned coil map and phase EMF sums
Ideal cogging repetition orderPeak cogging and loaded torque rippleGeometry, tolerances, FEA and torque measurement
Coil-layer arrangementMagnet loss, fault isolation and thermal ratingField spectrum, inductance matrix and fault/thermal tests

2. Method: coil pitch, phasors and reference layouts

Q denotes slots, 2p rotor poles and m phases. This tool fixes m = 3 and assumes identical turns, one-slot coil pitch and an iron-tooth stator. Double layer winds every tooth; single layer winds alternate teeth on an even-tooth ring. Changing polarity, pitch or parallel branches requires a new winding calculation. Cros & Viarouge.

q = Q / ((2p) × 3)
kp = |sin(pπ / Q)|
kd = |Σ signed coil EMF vectors| / Σ |coil EMF|
kw = kp × kd
fe = (2p) × rpm / 120

For the 12S/10P double-layer reference, coil phasors assigned to phase A resolve to ±15° about its resultant: kp = sin(75°), kd = cos(15°), so kw = 0.9330127. The alternate-tooth reference has aligned phase-A EMFs, kd = 1, and kw = 0.9659258. Each other phase must have equal magnitude and be displaced by 120°. These are ideal connection calculations, not measured motor data.

12S/10P reference factor calculation
Signed phase-A EMFs after phase assignment. A full coil connection drawing is still required for manufacturing; this is not a slot wiring diagram.
AFPM concentrated winding checker running the 12-slot 10-pole double-layer reference: kw 0.9330 and 300 Hz
Software execution captured 2026-10-24: 12 slots, 10 poles, three phases, double layer, 3,600 rpm, OD/ID 280/180 mm. Reproduce with Reset defaults. The tool is cropped and site navigation and floating contact are hidden for this capture. This records software output, not a motor test, customer result or supplier qualification.

3. Slot/pole catalog: compare like-for-like layouts

Calculated reference factors below use the method above. The 9-slot family uses phase-coil angles 0°, +20° and −20° after polarity assignment. Repeated spatial layouts retain their factor. A dash means the single-layer connection is not cataloged here; it does not certify impossibility. See Salminen’s thesis for published winding-factor context, matching layer and connection before comparison.

Equal-turn three-phase, one-slot-pitch reference layouts (analytical, not product ratings)
Slots / polesqkw doublekw singleIdeal LCM / rev
9 / 80.37500.9452— not cataloged72
9 / 100.30000.9452— not cataloged90
12 / 80.50000.86600.866024
12 / 100.40000.93300.965960
12 / 140.28570.93300.965984
18 / 140.42860.9019— not cataloged126
18 / 160.37500.9452— not cataloged144
24 / 200.40000.93300.9659120

Selection rule: compare electrical frequency at the same required mechanical speed, then evaluate harmonic fields, inverter voltage margin, manufacturability and ripple. The highest kw or LCM is not automatically the best machine.

4. Concentrated versus distributed: packaging and loss trade-offs

Nonoverlapping tooth coils reduce winding crossings and can simplify segmented-coil production. A distributed arrangement offers different spatial filtering. A useful comparison fixes active loading and operating duty before comparing drawn mean turn length and losses. Neither architecture has a universal copper-saving percentage. AFPM construction context.

Coil-span and end-winding comparison
Conceptual coil-span comparison, not a dimensioned motor section. Routing, bend radius and insulation determine real axial and circumferential clearances.
Architecture trade-offs to carry into a design review
DimensionTooth-coil concentratedDistributed / overlappingHow to compare
End turnsLocalized coil routingCoils span multiple teethDraw both layouts at equal active turns and conductor area
HarmonicsNonworking spatial waves may be significantSpatial distribution can filter selected wavesCompare winding spectra and rotor-frame fields
ProductionIndividual bobbins may simplify assemblyInsertion and crossings require clearanceCosted tooling, joining and insulation process
Failure behaviorSeparation may help localize faultsOverlap can complicate separationFault-current model and validated protection

5. Stator topology: what transfers to an AFPM disc

The original YASA work describes a yokeless segmented armature. Its individually wound teeth fit the tooth-coil concept, while retention and thermal paths must be designed around the dual-rotor structure. Current commercial slot counts, conductor fill, segmentation and cooling ratings are not established by this source. Woolmer & McCulloch (2007).

Conceptual yokeless segmented-armature section
Illustrates tooth, coil, air gaps and opposing rotors. Coolant routing and retaining parts require a separate design; no mass or torque-density improvement is assumed.
Topology scope and validation boundary
TopologyUseful characteristicCheck before selectionTool scope
Yokeless segmented armatureIndividual wound teeth without stator yokeRotor balance, tooth retention, cooling and axial loadsReference tooth-coil factors only
Slotted stator with yokeContinuous magnetic and structural return pathYoke saturation, mass and thermal pathMatch actual pitch and connection
Coreless / PCBDifferent conductor and magnetic circuitTrace/coil path, air-gap field and thermal limitsOutside this iron-tooth catalog

6. Spatial harmonics: use the rotor frame correctly

A working wave has p pole pairs; other signed spatial waves can move relative to the rotor. For positive rotor rotation n and a harmonic of ν pole pairs with direction s = ±1, its rotor-frame frequency is frotor = |s fe − ν n/60|. For a forward working wave ν = p, this is zero. Direction and order both matter. The tool does not infer a spectrum from slots alone. Pyrhönen et al. (2012).

As an illustrative kinematic check, at 3,600 rpm and fe = 300 Hz, a backward ν = 1 wave gives |−300 − 60| = 360 Hz. It is not a 1,500 Hz field merely because the working wave has five pole pairs. This example specifies direction; it makes no claim about the wave amplitude in a particular layout.

Rotor-frame harmonic frequency examples
Kinematic examples at 3,600 rpm and 300 Hz; amplitudes are deliberately unknown. A winding-function and field calculation must establish which waves exist and their strength.

7. Magnet eddy currents: test segmentation rather than prescribing it

Magnet resistivity, dimensions, harmonic flux, electrical insulation between pieces and inverter spectrum all affect loss. A rotor-loss model needs these inputs; the calculator supplies none of them. Compare monolithic and segmented candidates under the same excitation and cooling boundary. Validated loss-model study.

Skin depth δ = √(ρ/(π f μ)) compares diffusion length with conductor dimensions. Segmentation can reduce circulating paths, but frequency and geometry can also produce a segmentation anomaly. Do not transfer an inverse-square trend to every rotor or promise a fixed percentage reduction. Plait & Dubas (2022).

Insulated magnet segmentation concept
Three segments illustrate interrupted conductive paths, not an optimized segment count. Adhesive gaps, coating continuity, retention and production cost belong in the comparison.

8. Disc geometry and copper accounting

The active radial span is (OD − ID)/2, not OD − ID. At radius r, slot pitch is 2πr/Q. If tooth width is constant, available slot width varies with radius. Check the inner-radius bend and clearance before committing a rectangular bobbin; report net copper area after insulation and potting allowances.

For the baseline OD/ID 280/180 mm, radial span is 50 mm and mean diameter is 230 mm. The 12-slot mean tooth pitch is 60.21 mm and 10-pole pitch is 72.26 mm. Neither pitch defines the actual tooth width. To compare copper, use mass = density × total conductor area × actual mean turn length, including joints and leads. The checker does not calculate savings from assumed tooth-width multipliers.

Baseline geometry and the missing manufacturing inputs
QuantityBaseline valueDecision boundary
OD / ID280 / 180 mmIllustrative input dimensions
Active radial span50.00 mmNot the diameter difference
Mean tooth / pole pitch60.21 / 72.26 mmPitch is not tooth width or coil clearance
Copper mass / end-turn overhangUnknownNeed conductor area, turn count and drawn routing

9. Isolation, field weakening and fault limits

Separate bobbins can support physical separation, yet magnetic coupling, interturn faults and thermal propagation still require assessment. A layer choice cannot establish galvanic independence of two inverters or a remaining torque percentage. Review the actual neutral connections, protection and phase isolation architecture.

Fault review evidence chain
Coil spacing is one input to a fault assessment. Coupling, fault current, protection timing and post-fault temperatures must be calculated or measured.

The characteristic current ψm/Ld is useful in a defined machine model, but neither quantity is known here. It cannot establish a constant-power speed range, a bounded transient short-circuit current, or freedom from irreversible demagnetization. Require temperature-dependent material data and fault analysis before making those decisions.

10. Conductor choice and manufacturing cost

Screen manufacturability alongside losses. A large wire cross-section may improve DC resistance while increasing AC losses or bend difficulty. Cooling and duty determine acceptable current density; insulation temperature class alone is not a permissible coil hotspot specification.

Conductor choices: compare process evidence instead of universal frequency cutoffs
ConductorPotential benefitCost / design riskEvidence to request
Round enameled wireFlexible winding and accessible toolingPacking variation; joining and local proximity lossCross-section sample, resistance and AC-loss estimate
Rectangular / preformed copperOrderly packing in a compatible slotBend strain, enamel damage, tooling and AC lossBend trials, insulation checks and net slot area
Transposed / Litz constructionCan reduce selected AC-loss componentsTermination labor, strand insulation and reduced net copper areaCurrent-spectrum loss comparison including terminations

11. Validation plan and standards boundary

Three stages of engineering evidence1. Screen2. Field model3. Prototype
A reference factor supports a shortlist. Field analysis and measured duty performance provide the next levels of evidence.

Standards checked 2026-10-24: IEC 60034-15:2025 replaces the 2009 edition and excludes converter-fed windings. For Type I insulation in PWM-fed machines, review IEC 60034-18-41 and its applicable amendments. Agree classification, terminal waveform, sample type and test limits with the responsible engineer. The following is a project planning checklist, not a normative acceptance specification. IEC 60034-15; IEC 60034-18-41.

Example factory validation plan — limits must be agreed for the actual design
StageRecord / measureAcceptance basis still needed
Coil and insulation processConductor damage, insulation build, surge/PD tests where applicableQualified insulation system, converter stress and agreed test procedure
Winding continuity and resistanceFour-wire resistance, temperature, phase/branch connectionDrawing, temperature correction and allocated balance tolerance
IsolationSpecified dielectric / insulation test and fixtureInsulation class, creepage, environment and approved test voltage
Inductance and couplingPosition- and current-dependent phase matrixControl model, saturation and fault-current requirements
Back-EMF, torque and temperaturePhase waveform, ripple, duty and hotspotsProduct specification and calibrated dynamometer results

Before serial tooling, resolve the inner-radius coil clearance, tooth retention, magnet bonding and potting process. Quote setup, scrap, inspection and rework separately from recurring part cost. Public evidence here does not establish a supplier MOQ, lead time or commercial teardown specification.

12. Five illustrative screening scenarios

These are input-driven exercises, not measured product case studies. Use the matching tool preset to reproduce each result. Torque, efficiency, temperature, flight capability and manufacturing savings are unknown.

1. 12S/10P double layer

Assume 3600 rpm, OD/ID 280/180 mm.

Method: q = Q/((2p) × 3), fe = (2p)n/120; apply the catalog connection.

q 0.4000 · kw 0.9330 · 300.0 Hz · LCM 60

For a traction study, add the voltage envelope, current limit and cooling duty before sizing turns.

2. 24S/20P double layer

Assume 2400 rpm, OD/ID 240/160 mm.

Method: q = Q/((2p) × 3), fe = (2p)n/120; apply the catalog connection.

q 0.4000 · kw 0.9330 · 400.0 Hz · LCM 120

For a propulsor study, evaluate harmonic rotor losses and retention before assessing mass or continuous output.

3. 18S/16P double layer

Assume 1200 rpm, OD/ID 160/100 mm.

Method: q = Q/((2p) × 3), fe = (2p)n/120; apply the catalog connection.

q 0.3750 · kw 0.9452 · 160.0 Hz · LCM 144

For a joint actuator study, measure cogging and loaded ripple; LCM does not establish haptic smoothness.

4. 12S/14P double layer

Assume 2800 rpm, OD/ID 220/140 mm.

Method: q = Q/((2p) × 3), fe = (2p)n/120; apply the catalog connection.

q 0.2857 · kw 0.9330 · 326.7 Hz · LCM 84

Compare against 12S/10P at the same speed, including increased electrical frequency and inverter limits.

5. 12S/10P single layer

Assume 1800 rpm, OD/ID 180/110 mm.

Method: q = Q/((2p) × 3), fe = (2p)n/120; apply the catalog connection.

q 0.4000 · kw 0.9659 · 150.0 Hz · LCM 60

Compare phase isolation and harmonic losses against double layer; higher kw does not establish fault capability.

13. Frequently asked decision questions

Layout decisions

What is concentrated winding in an AFPM motor?

Each tooth coil spans one slot pitch, avoiding overlapping multi-tooth end windings. Fractional-slot layouts have q = Q/(2p × m) below one. Compact coils can help packaging, but end turns remain finite and winding choice alone does not establish motor efficiency.

Why compare 12-slot/10-pole and 12-slot/14-pole layouts?

The catalog double-layer connections both give kw = 0.9330. At equal rpm the 14-pole option has higher electrical frequency: seven electrical cycles per revolution rather than five. Compare inverter frequency, harmonic losses and mechanical constraints before choosing.

How is the winding factor calculated?

For a one-slot tooth coil, kp = |sin(pπ/Q)|. Vector-sum the signed coil EMFs of each phase to obtain kd, then kw = kp × kd. The tool uses explicit reference phase-belt layouts; slots and poles alone do not uniquely define a winding connection.

Can 9 slots use an alternate-teeth single-layer winding?

A closed nine-tooth ring cannot alternate wound and unwound teeth throughout. This tool rejects that arrangement. Use a double-layer 9S/8P layout or a cataloged even-slot example such as single-layer 12S/10P.

Why does a custom combination show Not assessed?

It has no reference phase assignment in this catalog. The tool still calculates q, electrical frequency, ideal repetition order and geometry for valid inputs. Supply a coil connection drawing for a phasor balance check, or select a reference example.

Losses and operating limits

Does a high cogging LCM guarantee smooth torque?

No. LCM(Q, 2p) gives an ideal geometric repetition order, not cogging amplitude or loaded torque ripple. Magnet arc, slot openings, eccentricity, tolerances and saturation still need field analysis and testing.

Does the tool calculate MMF THD or magnet loss?

No. These require a signed winding-function spectrum, current waveform, air-gap harmonic fields, magnet material and dimensions, and a loss model. A universal THD percentage or segmentation count cannot be inferred from q and speed.

How is rotor-relative harmonic frequency found?

Use frotor = |s × fe − ν × n/60| for a spatial wave of ν pole pairs with direction s = +1 or −1, using a consistent positive rotor direction. A forward working harmonic ν = p is synchronous and gives zero rotor-relative frequency.

How many magnet segments should I specify?

Compare segment directions and counts in an electromagnetic loss model using actual magnet resistivity, coating and PWM spectrum. Segmentation can add adhesive gaps, assembly cost and retention constraints; no fixed speed or electrical-frequency threshold selects an optimum.

Does single-layer winding make a motor fault tolerant?

Physical coil separation can help isolation, but residual magnetic and thermal coupling remains. Fault operation needs the full inductance matrix, short-circuit and demagnetization analysis, inverter isolation strategy and fault tests. The tool assigns no aerospace or safety rating.

Geometry and manufacturing

Can copper savings be inferred from slots and poles?

No. Compare measured or drawn mean turn lengths with equal active turns, conductor area and target electromagnetic loading. A shorter end turn does not by itself quantify total copper mass, resistance, axial envelope or efficiency.

What does the optional geometry calculation mean?

The active radial span is (OD − ID)/2. At mean diameter Dm = (OD + ID)/2, tooth pitch is πDm/Q and pole pitch is πDm/(2p). These are geometric checks, not tooth-width, clearance or end-turn predictions.

When should I choose rectangular copper, round wire or Litz?

Compare usable slot area after insulation, bend radius, manufacturability, AC resistance over the actual current spectrum, cooling and cost. Electrical frequency alone cannot make Litz mandatory or establish a universal fill-factor target.

Can the catalog be used for a coreless PCB winding?

No. A PCB or air-cored coil has its own conductor paths, coil pitch and connection. Use its winding function to calculate the factor. A coreless alternative is discussed in the report but is outside this iron-tooth calculator.

Validation and sourcing

Which insulation standard should a PWM-fed AFPM project review?

Start with the insulation-system classification and converter terminal stresses. IEC 60034-18-41 addresses Type I converter-fed systems. IEC 60034-15:2025 excludes converter-fed coils, so it cannot support a blanket 2.5 kV surge acceptance rule for traction motors.

What should an OEM include in the engineering brief?

Include slot/pole count, layer and coil connection, turns and conductor details, torque-speed duty, DC bus and inverter limits, dimensions, cooling and environment, required fault behavior, quantity and acceptance criteria. The copy function exports the screening inputs and limits.

Are the worked scenarios measured motor performance?

No. They are illustrative calculations from the stated inputs. Frequencies, q and reference winding factors are reproducible; torque, efficiency, cooling capability, lead time and production cost remain unverified.

What if JavaScript or clipboard access is unavailable?

Without JavaScript, the fixed baseline result, catalog, formulas and inquiry links remain readable, and input editing is disabled. If clipboard access fails, the tool exposes a selectable brief for manual copying. You can also send a coil drawing for review.

14. Primary sources, scope and review date

Reviewed 2026-10-24. Source links identify the underlying work or publisher scope statement. Some full texts require access; the sources do not verify proprietary product details or certify this checker.

  1. Gieras, Wang & Kamper — Axial Flux Permanent Magnet Brushless Machines

    Springer, 2nd edition, 2008

    Supports: AFPM topology, fabrication and cooling context.

    Boundary: Book overview is public; detailed chapters may require access. No supplier performance is inferred.

  2. Cros & Viarouge — Synthesis of high performance PM motors with concentrated windings

    IEEE Transactions on Energy Conversion 17(2), 248–253, 2002

    Supports: Reference method for three-phase concentrated winding synthesis.

    Boundary: A winding method is not a validated AFPM product. Catalog values here are analytical reference layouts.

  3. Salminen — Fractional slot permanent magnet synchronous motors for low speed applications

    LUT doctoral thesis, 2004

    Supports: Fractional-slot winding factors and harmonic context.

    Boundary: Layer, pitch and phase connection must match before transferring a published factor. Repository may challenge automated access.

  4. Woolmer & McCulloch — Analysis of the yokeless and segmented armature machine

    IEMDC 2007, pp. 704–708; DOI 10.1109/IEMDC.2007.382753

    Supports: Primary YASA topology record: independent wound segments without a stator yoke.

    Boundary: Does not disclose current commercial models, coil fills or fault certification.

  5. Bianchi & Bolognani — Design techniques for reducing the cogging torque in surface-mounted PM motors

    IEEE Transactions on Industry Applications 38(5), 1259–1265, 2002

    Supports: Cogging mitigation depends on geometry and can affect back-EMF.

    Boundary: Repetition order alone cannot predict amplitude. University record provides abstract and DOI 10.1109/TIA.2002.802989.

  6. Pyrhönen et al. — Harmonic Loss Calculation in Rotor Surface Permanent Magnets—New Analytic Approach

    IEEE Transactions on Magnetics 48(8), 2012; DOI 10.1109/TMAG.2012.2190518

    Supports: Harmonic-dependent rotor loss model compared with 3D FEA and measurements, including an axial-flux machine.

    Boundary: Loss calculation needs harmonic flux and magnet geometry/material inputs absent from this screening tool.

  7. Plait & Dubas — Volumic Eddy-Current Losses in Conductive Massive Parts with Experimental Validations

    Energies 15(24), 9413, 2022

    Supports: Skin-depth effects and conditions under which segmentation can increase losses.

    Boundary: Experimental conductive-part geometry is not a universal NdFeB AFPM rotor benchmark.

  8. IEC 60034-15:2025 — Impulse voltage withstand levels of form-wound stator coils

    Edition 4.0, published 2025-06-06; checked 2026-10-24

    Supports: Supersedes the 2009 edition; covers grid-connected form-wound coils and excludes converter-fed coils.

    Boundary: Cannot justify a universal surge voltage for inverter-fed AFPM traction windings.

  9. IEC 60034-18-41:2014+AMD1:2019 CSV — Type I converter-fed insulation systems

    Edition 1.1; includes December 2020 corrigendum; checked 2026-10-24

    Supports: Qualification and quality-control scope for Type I insulation under voltage-source PWM converters.

    Boundary: Applicability and test levels require the actual insulation system and terminal waveform; not a general motor certification.