Nonlinear Modeling of E-Type Ferrite Inductors Using Finite Element Analysis in 2D
Abstract
:1. Introduction
2. Materials and Methods
2.1. Computational Method
2.2. Experimental Method
Size | Turns | Cylindrical Domain |
---|---|---|
E65/32/27 | 45 | (r, z) ϵ [0, 40] × [−40, 40] |
E47/20/16 | 28 | (r, z) ϵ [0, 30] × [−25, 25] |
E34/14/9 | 28 | (r, z) ϵ [0, 25] × [−18, 18] |
E20/10/5 | 15 | (r, z) ϵ [0, 14] × [−15, 15] |
3. Results
3.1. Convergence Analysis
Current | g = 0 µm | g = 200 µm | ||
---|---|---|---|---|
I (A) | CPU Time | Tetrahedra | CPU Time | Tetrahedra |
0.01 | 2 min 59 s | 77280 | 11 min 58 s | 250042 |
0.02 | 4 min 44 s | 87327 | 11 min 59 s | 250042 |
3 | 16 min 52 s | 87327 | 24 min 46 s | 250042 |
8 | 14 min 24 s | 87327 | 33 min 28 s | 250042 |
10 | 13 min 19 s | 87327 | 52 min 22 s | 250042 |
20 | 11 min 46 s | 87327 | 1 h 8 min | 250042 |
Size | Turns | Square or Rectangular Domain |
---|---|---|
E65/32/27 | 45 | (x, y) ϵ [−40, 40] × [−40, 40] |
E47/20/16 | 28 | (x, y) ϵ [−30, 30] × [−25, 25] |
E34/14/9 | 28 | (x, y) ϵ [−25, 25] × [−18, 18] |
E20/10/5 | 15 | (x, y) ϵ [−14, 14] × [−15, 15] |
Gap-thickness | CPU Time | Elements | ||
---|---|---|---|---|
g (µm) | 2D | 3D | 2D | 3D |
0 | 3 s | 9 min | 5894 | 68872 |
50 | 2 s | 70 min | 5705 | 241765 |
200 | 4 s | 92 min | 8822 | 250249 |
3.2. Experimental Validation and Influence of the Air-Gap
- (a)
- The distribution of the |B| and |H| fields on the surface and along the cross-section of the ferrite;
- (b)
- The Ф-I and L-I curves, the influence of the gap-thickness on the Ф-I and L-I curves and experimental validation.
3.2.1. The Distribution of the |B| and |H| Fields on the Surface and along the Cross-Section of the Ferrite
3.2.2. Influence of the Gap Thickness g on the Φ-I and L-I Curves and Experimental Validation
4. Conclusions
Author Contributions
Conflicts of Interest
References
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Salas, R.A.; Pleite, J. Nonlinear Modeling of E-Type Ferrite Inductors Using Finite Element Analysis in 2D. Materials 2014, 7, 5454-5469. https://doi.org/10.3390/ma7085454
Salas RA, Pleite J. Nonlinear Modeling of E-Type Ferrite Inductors Using Finite Element Analysis in 2D. Materials. 2014; 7(8):5454-5469. https://doi.org/10.3390/ma7085454
Chicago/Turabian StyleSalas, Rosa Ana, and Jorge Pleite. 2014. "Nonlinear Modeling of E-Type Ferrite Inductors Using Finite Element Analysis in 2D" Materials 7, no. 8: 5454-5469. https://doi.org/10.3390/ma7085454