Research on Matching Interpolation Functions and Field Calculation Methods in Multi-Material Topology Optimization of Electric Machine

He, Xinghua; Yan, Liang; Chen, I–Ming; Gerada, Chris; Liu, Xiaoshuai; Du, Nannan; Yang, Xuxu

Abstract

The Solid Isotropic Material with Penalization (SIMP) method is highly regarded in the field of topology optimization due to its ease of implementation and conceptual clarity. However, in the realm of multi-material topology optimization for electric motors, the non-linear characteristics of soft magnetic materials make the choice of interpolation function crucial, as it significantly impacts the computational results. Through analysis, it is revealed that the matching relationship between interpolation methods and magnetic field calculation methods is crucial, specifically, interpolation functions should not be placed in the denominator of the dependent variable for field calculations, as it leads to computational instability. To validate this hypothesis, it was confirmed that the permeability interpolation based on magnetic scalar potential electromagnetic field calculation is also stable.

Citation

He, X., Yan, L., Chen, I., Gerada, C., Liu, X., Du, N., & Yang, X. (2024, May). Research on Matching Interpolation Functions and Field Calculation Methods in Multi-Material Topology Optimization of Electric Machine. Presented at 2024 IEEE 7th International Electrical and Energy Conference (CIEEC), Harbin, China

• Presentation Conference Type: Edited Proceedings
• Conference Name: 2024 IEEE 7th International Electrical and Energy Conference (CIEEC)
• Start Date: May 10, 2024
• End Date: May 12, 2024
• Acceptance Date: May 10, 2024
• Online Publication Date: Jul 15, 2024
• Publication Date: May 10, 2024
• Deposit Date: Dec 13, 2024
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Pages: 1322-1327
• Book Title: 2024 IEEE 7th International Electrical and Energy Conference (CIEEC 2024)
• ISBN: 9798350359565
• DOI: https://doi.org/10.1109/CIEEC60922.2024.10583296
• Public URL: https://nottingham-repository.worktribe.com/output/37859187
• Publisher URL: https://ieeexplore.ieee.org/document/10583296