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Volume 13
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10.3390/math13172858
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Article

Mathematical Modeling and Optimal Design for HRE-Free Permanent-Magnet-Assisted Synchronous Reluctance Machine Considering Electro-Mechanical Characteristics

by
Yeon-Tae Choi
1,
Su-Min Kim
1,
Soo-Jin Lee
1,
Jun-Ho Jang
1,
Seong-Won Kim
1,
Jun-Beom Park
1,
Yeon-Su Kim
1,
Dae-Hyun Lee
2,
Jang-Young Choi
1,* and
Kyung-Hun Shin
3,*
1
Department of Electrical Engineering, Chungnam National University, Daejeon 34134, Republic of Korea
2
Department of Bio-Systems Machinery Engineering, Chungnam National University, Daejeon 34134, Republic of Korea
3
Department of Electrical Engineering, Changwon National University, Changwon 51140, Republic of Korea
*
Authors to whom correspondence should be addressed.
Mathematics 2025, 13(17), 2858; https://doi.org/10.3390/math13172858
Submission received: 11 August 2025 / Revised: 31 August 2025 / Accepted: 3 September 2025 / Published: 4 September 2025
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Abstract

This paper presents the design of a permanent-magnet-assisted synchronous reluctance motor (PMa-SynRM) for compressor applications using Sm-series injection-molded magnets that eliminate heavy rare-earth elements. The high shape flexibility of the injection-molded magnets enables the formation of a curved multi-layer flux-barrier rotor geometry based on the Joukowski airfoil potential, optimizing magnetic flux flow under typical compressor operating conditions. Furthermore, electromagnetic performance, irreversible demagnetization behavior, and rotor stress sensitivity were analyzed with respect to key design variables to derive a model that satisfies the target performance requirements. The validity of the proposed design was confirmed through finite element method (FEM) comparisons with a conventional IPMSM using sintered NdFeB magnets, demonstrating the feasibility of HRE-free PMa-SynRM for high-performance compressor drives.
Keywords: injection-molded magnets; irreversible demagnetization; Joukowski airfoil potential formula; permanent-magnet-assisted synchronous reluctance motor; rotor stress; finite element method injection-molded magnets; irreversible demagnetization; Joukowski airfoil potential formula; permanent-magnet-assisted synchronous reluctance motor; rotor stress; finite element method

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MDPI and ACS Style

Choi, Y.-T.; Kim, S.-M.; Lee, S.-J.; Jang, J.-H.; Kim, S.-W.; Park, J.-B.; Kim, Y.-S.; Lee, D.-H.; Choi, J.-Y.; Shin, K.-H. Mathematical Modeling and Optimal Design for HRE-Free Permanent-Magnet-Assisted Synchronous Reluctance Machine Considering Electro-Mechanical Characteristics. Mathematics 2025, 13, 2858. https://doi.org/10.3390/math13172858

AMA Style

Choi Y-T, Kim S-M, Lee S-J, Jang J-H, Kim S-W, Park J-B, Kim Y-S, Lee D-H, Choi J-Y, Shin K-H. Mathematical Modeling and Optimal Design for HRE-Free Permanent-Magnet-Assisted Synchronous Reluctance Machine Considering Electro-Mechanical Characteristics. Mathematics. 2025; 13(17):2858. https://doi.org/10.3390/math13172858

Chicago/Turabian Style

Choi, Yeon-Tae, Su-Min Kim, Soo-Jin Lee, Jun-Ho Jang, Seong-Won Kim, Jun-Beom Park, Yeon-Su Kim, Dae-Hyun Lee, Jang-Young Choi, and Kyung-Hun Shin. 2025. "Mathematical Modeling and Optimal Design for HRE-Free Permanent-Magnet-Assisted Synchronous Reluctance Machine Considering Electro-Mechanical Characteristics" Mathematics 13, no. 17: 2858. https://doi.org/10.3390/math13172858

APA Style

Choi, Y.-T., Kim, S.-M., Lee, S.-J., Jang, J.-H., Kim, S.-W., Park, J.-B., Kim, Y.-S., Lee, D.-H., Choi, J.-Y., & Shin, K.-H. (2025). Mathematical Modeling and Optimal Design for HRE-Free Permanent-Magnet-Assisted Synchronous Reluctance Machine Considering Electro-Mechanical Characteristics. Mathematics, 13(17), 2858. https://doi.org/10.3390/math13172858

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