本文研究增磁型內藏式永磁同步馬達(Flux Intensifying Interior Permanent Magnet Synchronous Motor, FI-IPM)之設計，相較於弱磁型內藏式永磁同步馬達(Flux Weakening Interior Permanent Magnet Synchronous Motor, FW-IPM)，FI-IPM在進行單位電流最大轉矩控制時，幾乎無退磁風險，可藉由提高電流增加轉矩輸出，並且因為電流弱磁範圍較大，因此擁有大CPSR (Constant Power Speed Range)的特色，符合主軸馬達之應用。
現今常見之FI-IPM設計，其凸極比皆較FW-IPM小，並且因為磁障層設計較多，使得結構強健性與轉矩漣波成為FI-IPM必須注意的設計重點。因此本文將以有限元素法，分析磁障層設計對凸極比之影響，並確保轉子結構的強度以及並且擁有較低的退磁風險。最後以市售FW-IPM主軸馬達為目標，提出低退磁風險、大CPSR的改良FI-IPM設計。

This paper focuses on the design of a flux intensifying interior permanent magnet synchronous motor (FI-IPM). In contrast to the flux weakening interior permanent magnet synchronous motors (FW-IPM), FI-IPMs have nearly no risk of demagnetization when applying maximum torque per ampere control. The torque output can be increased by increasing the current, and because the flux weakening range is large, it has a larger constant power speed range (CPSR) which is suitable for spindle motor application.
Nowadays, the saliency of common FI-IPM designs is smaller than FW-IPM. Structural robustness and torque ripple have become the important design targets because there is more design of flux barriers. In this paper, finite element analysis is used to verify the FI-IPM design and analyze the effect of rotor magnetic reluctance on the inductance. Then, the proposed FI-IPM is compared to a currently available FW-IPM to validate its CPSR and demagnetization capability.

[1] S. Morimoto, "Trend of permanent magnet synchronous machines," IEEJ Transactions on Electrical and Electronic Engineering, vol. 2, no. 2, pp. 101-108, 2007.
[2] M. Fontana and N. Bianchi, "Design and Analysis of Normal Saliency IPM Spoke Motor," IEEE Transactions on Industry Applications, vol. 56, no. 4, pp. 3625-3635, 2020.
[3] C. C. Hwang, C. M. Chang, S. P. Cheng, C. K. Chan, C. T. Pan, and T. Y. Chang, "Comparison of performances between IPM and SPM motors with rotor eccentricity," Journal of Magnetism and Magnetic Materials, vol. 282, pp. 360-363, 2004.
[4] B. Zhao, Z. Gu, B. Li, L. Xiangdong, X. Li, and Z. Chen, "Research on the Torque and Back EMF Performance of a High Speed PMSM Used for Flywheel Energy Storage," Energies, vol. 8, pp. 2867-2888, 2015.
[5] R. Moghaddam, "Synchronous Reluctance Machine (SynRM) Design," 2007.
[6] J. Widmer, R. Martin, and M. Kimiabeigi, "Electric vehicle traction motors without rare earth magnets," Sustainable Materials and Technologies, vol. 29, 2015.
[7] D. C. Hanselman, Brushless permanent magnet motor design. The Writers' Collective, 2003.
[8] A. A. Adly and A. Huzayyin, "The impact of demagnetization on the feasibility of permanent magnet synchronous motors in industry applications," Journal of Advanced Research, vol. 17, pp. 103-108, 2019.
[9] M. S. Khan, U. V. Okonkwo, A. Usman, and B. S. Rajpurohit, "Finite Element Modeling of Demagnetization Fault in Permanent Magnet Direct Current Motors," in 2018 IEEE Power & Energy Society General Meeting (PESGM), 5-10 Aug. 2018 , pp. 1-5.
[10] J. Karlsson and O. Söderström, "Review of Magnetic Materials Along With a Study of the Magnetic Stability and Solidity of Y40," 2012.
[11] B. D. Cullity and C. D. Graham, Introduction to magnetic materials. John Wiley & Sons, 2011.
[12] A. Venäläinen, "Modification of bare and functionalized Au(111) surfaces and ferromagnetism of Au and Pd nanoclusters," 2018.
[13] M. L. Henriksen, B. B. Jensen, N. Mijatovic, J. Kolehmainen, and J. Holb⊘ll, "Structural design of SynRM rotor, and the effect on power factor," in 2015 IEEE International Electric Machines & Drives Conference (IEMDC), 10-13 May 2015, pp. 516-522.
[14] X. Zhu, S. Yang, Y. Du, Z. Xiang, and L. Xu, "Electromagnetic Performance Analysis and Verification of a New Flux-Intensifying Permanent Magnet Brushless Motor With Two-Layer Segmented Permanent Magnets," IEEE Transactions on Magnetics, vol. 52, no. 7, pp. 1-4, 2016.
[15] M. Haavisto, S. Tuominen, H. Kankaanpää, and M. Paju, "Time Dependence of Demagnetization and Flux Losses Occurring in Sintered Nd-Fe-B Permanent Magnets," IEEE Transactions on Magnetics, vol. 46, no. 9, pp. 3582-3584, 2010.
[16] X. Zhu, W. Wu, S. Yang, Z. Xiang, and L. Quan, "Comparative Design and Analysis of New Type of Flux-Intensifying Interior Permanent Magnet Motors With Different Q-Axis Rotor Flux Barriers," IEEE Transactions on Energy Conversion, vol. 33, no. 4, pp. 2260-2269, 2018.
[17] M. Chui, J. Chiang, Z. Gaing, and Y. Hsien, "Design of a novel flux-intensifying interior permanent-magnet motor for applying to refrigerant compressor," in 2015 18th International Conference on Electrical Machines and Systems (ICEMS), 2015, pp. 232-236.
[18] 高建豪，「MAGFINE黏結釹鐵硼磁石之製程與運用」，馬達電子報，成大馬達科技研究中心，第579期，2014。
[19] A. Sun, J. Li, R. Qu, J. Chen, and H. Lu, "Rotor design considerations for a variable-flux flux-intensifying interior permanent magnet machine with improved torque quality and reduced magnetization current," in 2015 IEEE Energy Conversion Congress and Exposition (ECCE), 2015, pp. 784-790.
[20] Y. Yu, Y. Chen, Y. Bi, and F. Chai, "Adaptive control of negative-saliency PMSM based on online parameter identification," in IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society, 23-26 Oct. 2016, pp. 2660-2665.
[21] 陳星瑜，「IPM馬達定功率轉速區間(CPSR)之理論推導與驗證」，馬達電子報，成大馬達科技研究中心，第822期，2018。
[22] T. Kato, N. Limsuwan, C.-Y. Yu, K. Akatsu, and R. D. Lorenz, "Rare earth reduction using a novel variable magnetomotive force flux-intensified IPM machine," IEEE Transactions on Industry Applications, vol. 50, no. 3, pp. 1748-1756, 2013.
[23] H. M. Kim, Y. Kim, and S. Jung, "Torque ripple and back EMF harmonic reduction of IPMSM with asymmetrical stator design," in 2017 20th International Conference on Electrical Machines and Systems (ICEMS), 11-14 Aug. 2017, pp. 1-4.
[24] A. Tessarolo, M. Mezzarobba, and N. Barbini, "Improved four-layer winding design for a 12-slot 10-pole permanent magnet machine using unequal tooth coils," in IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society, 23-26 Oct. 2016, pp. 1686-1691.
[25] K. Hong-Seok and K. Kwang-Joon, "Characterization of noise and vibration sources in interior permanent-magnet brushless DC motors," IEEE Transactions on Magnetics, vol. 40, no. 6, pp. 3482-3489, 2004.
[26] M.-H. Hwang, H.-S. Lee, and H.-R. Cha, "Analysis of Torque Ripple and Cogging Torque Reduction in Electric Vehicle Traction Platform Applying Rotor Notched Design," Energies, vol. 11, no. 11, p. 3053, 2018.
[27] H. Shang, L. Zhao, and T. Wang, "Torque Ripple Reduction for Permanent Magnet Synchronous Motor Based on Learning Control," in 2015 2nd International Conference on Information Science and Control Engineering, 24-26 April 2015, pp. 1001-1005.
[28] M. Sumega, Š. Zoššák, P. Varecha, and P. Rafajdus, "Sources of torque ripple and their influence in BLDC motor drives," Transportation Research Procedia, vol. 40, pp. 519-526, 2019.
[29] Z. Q. Zhu and D. Howe, "Influence of design parameters on cogging torque in permanent magnet machines," IEEE Transactions on Energy Conversion, vol. 15, no. 4, pp. 407-412, 2000.
[30] P. T. Luu, J. Lee, W. Hwang, and B. Woo, "Cogging Torque Reduction Technique by Considering Step-Skew Rotor in Permanent Magnet Synchronous Motor," in 2018 21st International Conference on Electrical Machines and Systems (ICEMS), 7-10 Oct. 2018, pp. 219-223.
[31] B. Ackermann, R. Sottek, J. H. H. Janssen, and R. I. v. Steen, "New technique for reducing cogging torque in a class of brushless DC motors," IEE Proceedings B (Electric Power Applications), vol. 139, no. 4, pp. 315-320.
[32] C. C. Hwang, M. H. Wu, and S. P. Cheng, "Influence of pole and slot combinations on cogging torque in fractional slot PM motors," Journal of Magnetism and Magnetic Materials, vol. 304, no. 1, pp. e430-e432, 2006.
[33] Y. Yubo, W. Xiuhe, Z. Rong, Z. Changqing, and D. Tingting, "Research of cogging torque reduction by different slot width pairing permanent magnet motors," in 2005 International Conference on Electrical Machines and Systems, 27-29 Sept. 2005, vol. 1, pp. 367-370 Vol. 1.
[34] S. Nian, L. Zhu, X. Luo, and Z. Huang, "Analytical Methods for Optimal Rotor Step-Skewing To Minimize Cogging Torque in Permanent Magnet Motors," in 2019 22nd International Conference on Electrical Machines and Systems (ICEMS), 2019, pp. 1-5.
[35] 中鋼公司，「電磁鋼捲產品手冊」，中鋼產品目錄，中鋼公司，第8頁，2016。
[36] 維基百科[Online]. https://zh.wikipedia.org/w/index.php?title=%E6%87%89%E5%8A%9B%E9%9B%86%E4%B8%AD&oldid=52245995
[37] M. Nagrial, J. Rizk, and A. Hellany, "Analysis and performance of high efficiency synchronous reluctance machines," International Journal of Energy and Environment, 01/01 2011.
[38] S. Tahi, R. Ibtiouen, and M. Bounekhla, "Design Optimization of Two Synchronous Reluctance Machine Structures with Maximized Torque and Power Factor," Progress In Electromagnetics Research B, vol. 35, pp. 369-387, 01/01 2011.
[39] P. B. Reddy et al., "Performance Testing and Analysis of Synchronous Reluctance Motor Utilizing Dual-Phase Magnetic Material," IEEE Transactions on Industry Applications, vol. 54, no. 3, pp. 2193-2201, 2018.
[40] J. Kolehmainen, "Synchronous Reluctance Motor With Form Blocked Rotor," IEEE Transactions on Energy Conversion, vol. 25, no. 2, pp. 450-456, 2010.
[41] C. Bianchini, G. Franceschini, and A. Torreggiani, "Improvement on Flux Weakening Control Strategy for Electric Vehicle Applications," Applied Sciences, vol. 11, no. 5, p. 2422, 2021.
[42] G. Jeong, H. Kim, and J. Lee, "A Study on the Design of IPMSM for Reliability of Demagnetization Characteristics-Based Rotor," IEEE Transactions on Applied Superconductivity, vol. 30, no. 4, pp. 1-5, 2020.
[43] 李箴，「馬達電磁鐵芯製程介紹」，馬達電子報，成大馬達科技研究中心，第930期，2021。
[44] JMAG, "Magnetic Properties Correction," JMAG-Designer Version 20.0 Help, 2020.