Electromagnetic Field Simulation of Axial Flux Motors
Theory and Physics
Axial-Type Structure and Magnetic Flux Path
What's the difference between an axial flux motor and a regular radial type? I've heard the name but can't picture it...
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
Discretization Methods
How do you actually solve these equations on a computer?
We use spatial discretization by the Finite Element Method (FEM). We assemble the element stiffness matrices and construct the global stiffness equation.
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
What exactly are matrix solution algorithms?
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.
| Solver | Classification | Memory Usage | Applicable Scale |
|---|---|---|---|
| LU Decomposition | Direct Method | O(n²) | Small to Medium Scale |
| Cholesky Decomposition | Direct Method (Symmetric Positive Definite) | O(n²) | Small to Medium Scale |
| PCG Method | Iterative Method | O(n) | Large Scale |
| GMRES Method | Iterative Method | O(n·m) | Large Scale / Non-Symmetric |
| AMG Preconditioner | Preprocessing | O(n) | Very Large Scale |
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
So, what software can be used for axial flux motors?
| Tool Name | Developer/Current | Main File Format |
|---|---|---|
| JMAG-Designer | JSOL Corporation | .jmag, .jproj |
| Ansys Maxwell | Ansys Inc. | .aedt, .maxwell |
| COMSOL Multiphysics | COMSOL AB | .mph |
| Ansys HFSS | Ansys Inc. | .aedt, .hfss |
Vendor History and Product Integration Background
Is the origin of each software somewhat dramatic?
JMAG-Designer
What exactly is JMAG?
Developed by Japan's JSOL Corporation. An electromagnetic field analysis tool specialized for electrical equipment design.
Current Affiliation: JSOL Corporation
Ansys Maxwell
Tell me about "Ansys Maxwell"!
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