Electromagnetic Fields Calculation and Optimization of Structural Parameters for Axial and Radial Helical Air-Core Inductors
Abstract
:1. Introduction
2. Finite Element Calculation of Electromagnetic Field for Air-Core Inductors
2.1. Two Types of Inductor Structures
2.2. Parameterized Finite Element Modeling
2.3. Spatial Magnetic Field Distribution Characteristics of Inductors
3. Generation of Training Data and Modeling of BP Neural Network
3.1. Monte Carlo Sampling
3.2. Modeling of BP Neural Network
4. Analysis of Factors Affecting the Inductance Value of Inductors
4.1. Sensitivity Analysis of Structural Parameters
4.2. The Effect of Excitation Frequency
5. Optimization of Inductor Structural Parameters Based on BP-GA Algorithm
5.1. Mathematical Model for the Structural Optimization of Inductors
5.2. Optimization by BP-GA Joint Algorithm
5.3. Finite Element Validation
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Inductor Type | Structural Design Variables | Lower Design Limit | Upper Design Limit |
---|---|---|---|
AHI | r1 (mm) | 50 | 100 |
R1 (mm) | 150 | 250 | |
N1 | 5 | 14 | |
M1 | 3 | 7 | |
H1 (mm) | 200 | 400 | |
RHI | r2 (mm) | 50 | 100 |
R2 (mm) | 150 | 250 | |
N2 | 5 | 14 | |
M2 | 5 | 9 | |
H2 (mm) | 200 | 400 |
Inductor Type | Evaluation Index | L | L/V | Wj | |
---|---|---|---|---|---|
AHI | Training samples | R2 | 0.9987 | 0.9985 | 0.9992 |
RRMSE | 0.0033 | 0.0027 | 0.0006 | ||
Testing samples | R2 | 0.9963 | 0.9965 | 0.9984 | |
RRMSE | 0.0078 | 0.0063 | 0.0011 | ||
RHI | Training samples | R2 | 0.9982 | 0.9984 | 0.9990 |
RRMSE | 0.0037 | 0.0026 | 0.0005 | ||
Testing samples | R2 | 0.9903 | 0.9938 | 0.9960 | |
RRMSE | 0.0092 | 0.0055 | 0.0013 |
Inductor Type | Structural Design Variables | Optimal Parameter |
---|---|---|
AHI | r1 (mm) | 95.15 |
R1 (mm) | 186.70 | |
N1 | 8 | |
M1 | 4 | |
H1 (mm) | 272.89 | |
RHI | r2 (mm) | 50.34 |
R2 (mm) | 158.72 | |
N2 | 8 | |
M2 | 6 | |
H2 (mm) | 315.03 |
Inductor Type | L (μH) | L/V (μH/m3) | Wj | |
---|---|---|---|---|
AHI | Sample of optimal L/V | 486.0346 | 8459.9692 | 2.8657 |
Sample of optimal Wj | 116.7442 | 3531.5769 | 1.7934 | |
post-optimization | 114.6565 | 3510.6846 | 1.7115 | |
RHI | Sample of optimal L/V | 803.1687 | 13330.8319 | 3.9640 |
Sample of optimal Wj | 114.9423 | 4591.9504 | 3.0388 | |
post-optimization | 127.8841 | 4539.2142 | 2.8768 |
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Wu, J.; Zhang, Y.; Yang, B.; Li, S.; Song, H. Electromagnetic Fields Calculation and Optimization of Structural Parameters for Axial and Radial Helical Air-Core Inductors. Electronics 2024, 13, 3463. https://doi.org/10.3390/electronics13173463
Wu J, Zhang Y, Yang B, Li S, Song H. Electromagnetic Fields Calculation and Optimization of Structural Parameters for Axial and Radial Helical Air-Core Inductors. Electronics. 2024; 13(17):3463. https://doi.org/10.3390/electronics13173463
Chicago/Turabian StyleWu, Jinguo, Yujie Zhang, Bin Yang, Sihan Li, and Haipeng Song. 2024. "Electromagnetic Fields Calculation and Optimization of Structural Parameters for Axial and Radial Helical Air-Core Inductors" Electronics 13, no. 17: 3463. https://doi.org/10.3390/electronics13173463