Abstract
The paper presents the closed-form solution of two dimensional (2D) electromagnetic wave equation for eddy current problems in cylindrical structures. The magnetic field calculation is a complex issue for electrical machines especially. The paper provides an analytical solution for solid cylindrical structures with linear magnetization. This approach is extended to the electrical machines with the solid rotors. Multilayered cylindrical geometry is used for the solution. Two dimensional parabolic partial differential equation is solved for each layer. According to the analytical solution, eddy current and eddy current losses are calculated in the solid region and compared to the results of the finite element model.
| Original language | English |
|---|---|
| Pages (from-to) | 3911-3925 |
| Number of pages | 15 |
| Journal | Journal of Vibroengineering |
| Volume | 19 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2017 |
Bibliographical note
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Keywords
- Boundary conditions
- Closed form solution
- Diffusion equation
- Eddy current
- Electromagnetic wave equation
- Parabolic partial differential equations
- Solid rotor