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Hybrid calculator + engineering report

AFPM Core Air Gap Design

Estimate the first-pass AFPM core air-gap flux density, then use the evidence tables to decide whether the concept is ready for nonlinear FEA, supplier RFQ, or tolerance redesign.

Published: July 23, 2026Reviewed: July 23, 2026Canonical keyword: afpm core air gap design1D screening, not final sign-offEngineering review: Axial Flux Core
Run the estimatorCheck evidence
Tool and report layer responsibilitiesDiagram showing the calculator as the immediate action layer and the report as the evidence and decision layer.Tool layerReport layerInput, estimate, warning,recovery, next action.Evidence, limits, tradeoffs,RFQ proof and decisions.Immediate answer first; evidence expands the decision.
AFPM Air Gap Flux Density Estimator
Screen magnet remanence, magnet thickness, recoil permeability, and mechanical air gap before moving to nonlinear 3D FEA.
1.20 T

Default: 1.20 T. Supported range: 0.80 - 1.50 T. Tie production values to the selected magnet grade and temperature.

5.0 mm

Default: 5.0 mm. Supported range: 1.0 - 20.0 mm for concept screening.

1.5 mm

Default: 1.5 mm. Supported range: 0.5 - 5.0 mm. Treat any sub-0.8 mm run as a boundary case.

1.05

Default: 1.05 for NdFeB screening. Supported range: 1.00 - 1.30.

View assumptions

Results

Deterministic 1D estimate. Re-run 3D FEA before release.

Ready
Estimated Flux Density (Bg)0.913 T

Status: High screening flux

The magnetic loading may be attractive for torque density, but local tooth saturation, leakage, demagnetization margin, and axial pull need review.

Next action: Run nonlinear 3D FEA with the selected core B-H curve before freezing the air gap.

Boundary state

No active boundary warnings inside the supported screening ranges.

Boundary Conditions & Limits
This 1D estimation assumes infinite core permeability (no core reluctance drop) and ignores leakage/fringing fluxes. In real 3D AFPM designs with SMC cores, the answer can move materially after B-H curve, fringing, slotting, and axial-deflection effects are included.

Use the result to choose a prototype band, not to sign off tooling.

Request stack reviewReview risks

What To Do With The Result

The tool answers the immediate sizing question. The report layer explains when the answer is useful, when it is unsafe, and what evidence a supplier or internal design team should produce next.

In band
Move to tolerance stack, leakage, slotting, and hot-state gap checks.
Boundary
Do not approve tooling until the specific boundary condition has a mitigation.
Confirm
Validate with material curves, 3D FEA, inspection method, and prototype evidence.

Key Design Conclusions

Treat Bg as a screening signal

The calculator gives a deterministic 1D estimate for air-gap flux density. It should narrow the prototype band, then hand off to nonlinear 3D FEA.

Evidence: Formula limits, source ledger S1-S4

Magnetic gap is bigger than the visible gap

Adhesive, sleeve, coating, potting, runout, bearing growth, and thermal expansion all add effective reluctance even when the mechanical gap looks acceptable.

Evidence: Tolerance stack table, scenarios A-C

SMC enables 3D flux but changes the risk model

SMC cores help AFPM layouts with three-dimensional flux paths and high-frequency eddy-current control, but lower permeability and brittle mechanics make source-specific B-H data mandatory.

Evidence: S2, S3, material comparison table

Very small gaps buy torque density with stiffness debt

Reducing the gap can raise magnetic loading, but it also amplifies axial pull, rotor-stator clash risk, tolerance cost, and torque ripple from uneven gaps.

Evidence: Risk matrix, validation plan

The RFQ must specify proof, not only dimensions

A useful air-gap RFQ includes magnet grade, B-H curves, tolerance stack, axial stiffness, thermal growth, loss-test conditions, and pass-fail evidence.

Evidence: Buyer checklist, final CTA

AFPM effective magnetic air gap stackDiagram showing magnet, adhesive, coating, mechanical air gap, SMC core, and axial deflection as separate contributors to effective magnetic gap.MagnetBondCoatMechanical gapCoatCoreEffective magnetic gap = physical gap + non-magnetic layers + movementAxial deflection changes the live gap

Method And Evidence

The estimator uses a simple magnetic-circuit relationship for a magnet and an air gap:

Bg = Br * (hm / (hm + μr * g))
Known limitation
This model ignores core reluctance, fringing, leakage, slotting, local saturation, magnet temperature, and axial deflection. Those effects can materially change the final AFPM core air-gap design.

Worked Calculator Examples

Default NdFeB screening case

Inputs: Br 1.20 T, hm 5.0 mm, g 1.5 mm, mu_r 1.05.

Calculation: Bg = 1.20 * (5.0 / (5.0 + 1.05 * 1.5)) = 0.913 T.

Decision: This sits just above the screening band, so it should be treated as a high-loading concept until 3D FEA confirms saturation and axial pull.

Clearance-biased prototype case

Inputs: Br 1.20 T, hm 5.0 mm, g 2.0 mm, mu_r 1.05.

Calculation: Bg = 1.20 * (5.0 / (5.0 + 1.05 * 2.0)) = 0.845 T.

Decision: The output stays inside the first-pass band while buying more mechanical clearance for runout, debris, and thermal growth checks.

Evidence Ledger

IDSourceHow it is usedDate marker
S1Arnold Magnetic Technologies - NdFeB magnet overviewSanity-checks magnet remanence and grade/temperature dependency used by the Br input.July 23, 2026
S2JMAG International and Hoganas - SMC in motor designSupports the need to evaluate SMC with material curves and motor-design simulation rather than a steel-core assumption.July 23, 2026
S3Sumitomo Electric - soft magnetic composite overviewSupports SMC manufacturability and high-frequency magnetic-core positioning for compact motor components.July 23, 2026
S4Axialfluxcore - SMC vs laminated axial flux core guideInternal sourcing and DFM framing for AFPM stator/core material selection, reviewed as site context.July 20, 2026
S5Axialfluxcore - magnetic loss testing in high-frequency AFPMInternal validation workflow for B-H curves, W/kg loss data, density reporting, and frequency-specific qualification.July 20, 2026
AFPM air gap design method flowFlow diagram from calculator inputs through 1D estimate, boundary review, FEA, and prototype evidence.Inputs1D BgBoundary flags3D FEAPrototype proofThe calculator is step 2 of a gated engineering workflow, not the final authority.
Evidence confidence by input typeBar chart showing high confidence for public magnet data, moderate confidence for SMC fit, and low confidence until project-specific proof is supplied.Evidence confidence before supplier dataMagnet Br86%SMC material fit72%Air-gap tolerance58%Project-specific proof34%Project confidence rises only after B-H curves, tolerance data, and hot-state inspection are known.

Design Bands And Actions

Screening conditionInterpretationNext action
Bg below 0.40 TLow magnetic loadingCheck whether the design intentionally trades torque density for clearance, cost, or a low-risk first prototype.
Bg from 0.40 T to 0.90 TPractical first-pass screening bandProceed to leakage, slotting, saturation, tolerance, and thermal-growth checks before freezing geometry.
Bg above 0.90 THigh magnetic loadingRequire nonlinear 3D FEA, local tooth-flux review, magnet irreversible-loss margin, and housing stiffness proof.
Mechanical gap below 0.80 mmBoundary manufacturing caseDo not release tooling without runout, bearing growth, adhesive stack, debris, and rotor deflection evidence.

Material Route Trade-Offs

Air-gap design depends on the chosen core route. SMC and laminated steel can both be valid, but they need different proof.

DimensionSMC routeLaminated routeDecision use
Flux path fitStrong fit for 3D flux paths and segmented AFPM geometries.Strong in 2D flux paths; axial layouts often need winding, stacking, or machining compromises.Use SMC when geometry benefits from 3D flux and high-frequency operation.
Magnetic model riskRequires supplier B-H and loss curves because permeability and density depend on compaction route.Higher permeability is familiar, but cut-edge stress and stacking quality still need validation.Never carry steel-core assumptions into an SMC air-gap model.
Mechanical riskBrittle core material; housing and carrier should absorb axial load.Mechanically robust, but stack bonding and machining quality affect air-gap faces.Place stiffness requirements on the assembly, not only the core material.
RFQ evidenceAsk for density map, B-H curve, W/kg loss data, pressing direction, ejection feasibility, and face grinding plan.Ask for lamination thickness, coating, stack factor, cut-edge process, bonding method, and flatness.Compare both routes with measurable evidence, not generic material labels.

Tolerance Stack To Verify

InputWhy it mattersVerification method
Mechanical air gapSets the visible rotor-to-core clearance, but only one part of magnetic reluctance.CMM or optical scan on assembled stack at room temperature.
Bondline and coating thicknessNon-magnetic layers add effective gap and can vary around the rotor face.Supplier coating spec, adhesive process window, and sectioned sample audit.
Rotor and housing axial stiffnessMagnetic attraction can close the gap under load even if static inspection passes.FEA deflection case plus dial-indicator or laser displacement test.
Thermal growthMagnets, carrier, shaft, housing, and core can move differently across duty cycles.Hot-state stack model and thermal soak inspection.
Runout and bearing playUneven local gap drives torque ripple and rub risk.Rotating runout measurement at assembly and after endurance cycling.
AFPM air gap design risk matrixMatrix placing air-gap design risks by impact and likelihood.Risk position before validationLikelihoodImpact1D as sign-offSub-0.8 mm gapGeneric SMC dataThick magnet costNominal-only RFQ

Risks And Controls

RiskImpactLikelihoodMitigation
Misusing the 1D calculator as final design proofHighMediumUse the calculator only for concept bands, then require 3D FEA with source-specific material data.
Sub-0.8 mm gap without stiffness evidenceHighMediumAdd axial deflection, thermal growth, runout, and debris-clearance gates before prototype release.
SMC B-H curve assumed from generic dataHighMediumRequest batch-specific B-H and W/kg loss curves from the selected powder and compaction process.
Thick magnet selected to compensate for a wide gapMediumMediumCompare cost, rotor inertia, demagnetization margin, and assembly force before approving magnet thickness.
RFQ only specifies nominal gapMediumHighSpecify effective magnetic gap stack, measurement method, hot-state limits, and acceptance evidence.

Scenario Examples

A. Robotics joint motor

Assumptions: 5 mm magnet, 1.2 T Br, 1.2-1.5 mm mechanical gap, high pole count, compact housing.

Decision: Use the calculator to keep Bg in the screening band, then prioritize runout and housing stiffness because vibration is user-visible.

B. eVTOL or drone propulsion

Assumptions: High frequency, strict mass budget, SMC core candidate, thermal cycling at elevated duty.

Decision: Give SMC strong consideration, but require W/kg loss data at the target frequency and hot-state gap proof.

C. Industrial retrofit motor

Assumptions: Packaging allows wider gap, cost pressure is high, service environment may include dust or debris.

Decision: Accept lower Bg if it avoids rub risk and field failures; validate torque density against duty-cycle needs.

D. High-torque prototype

Assumptions: Aggressive Br, thick magnets, sub-1 mm target gap, early-stage magnetic model.

Decision: Treat the output as a red flag for FEA and fixture testing, not as proof that the prototype is safe.

Buyer Checklist

Magnet grade, Br at operating temperature, recoil permeability, coating thickness, and irreversible-loss curve.

Core material route, supplier B-H curve, W/kg loss curve, density map, and compaction or lamination process note.

Mechanical gap, effective magnetic gap, adhesive stack, sleeve stack, runout, bearing play, and thermal growth budget.

3D FEA case list covering nominal, worst-case tolerance, hot-state, and demagnetization-margin conditions.

Inspection method, sample size, pass-fail threshold, and corrective action when measured gap is out of band.

Related Internal Paths

Product capabilitiesTechnology and materialsManufacturing and qualityResource libraryMagnetic loss testing guideAFPM core assembly process toolEngineering review request

FAQ

Calculator and inputs

Engineering judgment

RFQ and validation

Ready to validate an AFPM core air-gap stack?

Send the calculator band, CAD stack, material route, duty cycle, and target production volume. We will review whether the design needs magnetic, mechanical, or sourcing changes before prototype tooling.

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