Electromagnetic Field Simulation of Axial Flux Motors

Category: Electromagnetic Field Analysis / Motor Design | Updated 2026-04-11
Axial flux motor electromagnetic simulation showing flux density distribution in airgap and stator core
Axial Flux Motor Magnetic Flux Density Distribution Simulation ― Contours of radial and circumferential magnetic flux density on the air gap surface

Electromagnetic Field Simulation of Axial Flux: Theoretical Foundations

Axial-Type Structure and Magnetic Flux Path

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What's the difference between an axial flux motor and a regular radial type? I've heard the name but can't picture it...

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It's a thin motor structure where magnetic flux flows in the direction of the rotation axis. It offers high torque density and is lightweight. It's a new structure gaining attention for EV in-wheel motors and drone propulsion.




Governing Equations




$$ T = \frac{\pi}{4}(R_o^2-R_i^2)B_g A_s $$
$$ P = T\omega $$




Discretization Methods

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How do you actually solve these equations on a computer?


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We use spatial discretization by the Finite Element Method (FEM). We assemble the element stiffness matrices and construct the global stiffness equation.


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We transform it into the weak form (variational form) and use formulation by the Galerkin method using test functions and shape functions. The choice of element type (low-order elements vs. higher-order elements, full integration vs. reduced integration) is directly linked to the trade-off between solution accuracy and computational cost.




Matrix Solution Algorithms

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What exactly are matrix solution algorithms?


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We solve the simultaneous equations using direct methods (LU decomposition, Cholesky decomposition) or iterative methods (CG method, GMRES method). Preconditioned iterative methods are effective for large-scale problems.



SolverClassificationMemory UsageApplicable Scale
LU DecompositionDirect MethodO(n²)Small to Medium Scale
Cholesky DecompositionDirect Method (Symmetric Positive Definite)O(n²)Small to Medium Scale
PCG MethodIterative MethodO(n)Large Scale
GMRES MethodIterative MethodO(n·m)Large Scale / Non-Symmetric
AMG PreconditionerPreprocessingO(n)Very Large Scale
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So, if you cut corners on the finite element method part, you'll pay for it later. I'll keep that in mind!


Implementation in Commercial Tools

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So, what software can be used for axial flux motors?


Tool NameDeveloper/CurrentMain File Format
JMAG-DesignerJSOL Corporation.jmag, .jproj
Ansys MaxwellAnsys Inc..aedt, .maxwell
COMSOL MultiphysicsCOMSOL AB.mph
Ansys HFSSAnsys Inc..aedt, .hfss

Vendor History and Product Integration Background

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Is the origin of each software somewhat dramatic?



JMAG-Designer

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What exactly is JMAG?


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Developed by Japan's JSOL Corporation. An electromagnetic field analysis tool specialized for electrical equipment design.

Current Affiliation: JSOL Corporation



Ansys Maxwell

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Tell me about "Ansys Maxwell"!


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