本文旨在分析及設計應用於高轉速的高效率與低頓轉轉矩之永磁式無刷直流馬達，如電動手工具等產品；永久磁鐵採用稀土材料，其具有高剩磁密度、高矯頑力與高磁能積之特徵，能達到降低馬達體積與提高馬達效率的效果，使永磁式無刷直流馬達更適合運用於市售工業產品之中。
本文針對工業中所使用之電動手工具的無刷直流馬達進行分析，並針對馬達效率與頓轉矩比等性能方面進行優化，先分析說明2極3槽無槽式電機欲改良成4極6槽有槽式電機之原因，再透過田口實驗方法結合有限元素分析軟體Maxwell_2D，在滿足馬達設計之邊界條件的情況下選定實驗之控制因子以交叉實驗、平均數分析、權重參數調整及貢獻度分析等有效率的方式完成4極6槽有槽式電機之最佳化設計。
根據有限元素分析軟體ANSYS Maxwell_2D，與快速傅立葉轉換對最佳化設計進行分析，相較於原型機，在效率方面由原型機的74.03%提升至76.1%；頓轉矩比則由原型機的10.03%下降至6.93%；扭力由0.588 N-m提升至0.703 N-m；諧波頻譜分析部分，總諧波成分由原型機的3.55%下降至3.25%。

The purpose of the thesis is to analyze and design on permanent magnet dc motor (PMDC) with high performances and low cogging torque, especially for high-speed applications such as electric screwdrivers. The rare earth magnet has been used to reduce volume and improve the efficiency of the motor with its high residual induction, high coercivity and high BHmax performances. That is why the PMDC is suitable for industrial application and modern commercial appliances.
In this thesis, the brushless DC motor which used in industrial applications was analyzed firstly, then a newer, better and optimal structure of the 4-pole-6-slot BLDC was proposed which is well required in power torque cordless electric screwdrivers.
The analysis is based on Taguchi method, while choosing the control factors under the boundary conditions, and analyzed the effects on the magnetic circuit, cogging torque and performed the load test via ANSYS Maxwell_2D. The optimal result with the maximum efficiency and minimum cogging torque of the BLDC was achieved using the analysis of means calculation, weighting parameter adjustment and contribution evaluations. With the aids of the finite element analysis software, the efficiency of the moter was increased from 74.03% of the conventional motor to 76.1% for proposed motor.While the torque was increased from 0.588 N-m to 0.703 N-m. The cogging torque was reduced from 10.03% to 6.93%, and the total harmonic components were reduced from 3.55% to 3.25%.

[1] http://www.taipower.com.tw/，台灣電力公司，104年台電系統發電量佔比。
[2] 黃雅琪，馬達產業2013年回顧及2014年展望，工研院電子報，第103017期，民國一零三年七月。
[3] 許育瑞，我國電動手工具產業近況及生產力4.0對手工具產業之發展影響，2016年台灣手工具工業同業公會第12次理監事聯席會議，民國一百零五年二月。
[4] Z. Q. Zhu and D. Howe, “Instantaneous Magnetic Field Distribution in Brushless Permanent Magnet DC Motors Armature-Reaction Field,” IEEE Transactions on Magnetic, vol. 29, pp. 136-142, 1993.
[5] A. B. Proca, A. Keyhani, A. El-Antably, W. Lu, and M. Dai, “Analytical Model for Permanent Magnet Motors with Surface Mounted Magnets,” IEEE Transactions on Energy Conversion, vol. 18, pp. 386-391, 2003.
[6] 林君達，低噪音風能轉換系統用永磁式同步發電機之設計與控制，國立台灣科技大學電機研究所碩士論文，民國九十八年。
[7] 李瑤，五相永磁式同步電動機分析與設計，國立台灣科技大學電機研究所碩士論文，民國一百零三年七月。
[8] 金德昌，永磁式同步電動機之設計及其轉速控制系統研製，國立台灣科技大學電機研究所碩士論文，民國九十七年七月。
[9] 蕭鈞毓，六相及雙三相繞組永磁式同步電機之分析及設計，國立台灣科技大學電機工程系碩士論文，民國九十六年七月。
[10] 劉建村，六相永磁式同步電動機設計及故障後控制策略，國立台灣科技大學電機工程系碩士論文，民國九十九年七月。
[11] D. Hanselman， “Brushless Permanent Magnet Motor Design,” The Writer’ Collective, U.S.A., 2003.
[12] 顏耀東，田口方法應用於永磁無刷直流馬達之最佳化設計與實驗，國立台灣科技大學電機工程系碩士論文，民國一百零四年七月。

[13] 廖紹庭，整合啟動發電機之最佳化設計與分析，逢甲大學電機工程系碩士論文，民國一百零三年六月。
[14] 李宗恒，應用於機器人手臂之無槽式馬達的最佳化設計與分析，逢甲大學電機工程研究所碩士論文，民國一百零二年一月。
[15] O. Wallmark and P. Kjellqvist, “Analysis of a Low-Cost Air-Gap Winding for Permanent Magnet Synchronous Motors,” IEEE Trans. on Energy Conversion, vol. 24, no. 4, pp. 841-847, Dec. 2009.
[16] 何坿彬，應用於機器人微型馬達的設計與分析，逢甲大學電機工程研究所碩士論文，民國一百年一月。
[17] M. Markovic and Y. Perriard, “Analytical Formula for the Torque/Emf Constant of a Slotless BLDC Motor,” IEEE Conference
on Electromagnetic Field Computation, June 2006.
[18] P. D. Pfister and Y. Perriard, “Very-High-Speed Slotless Permanent-Magnet Motors: Analytical Modeling, Optimization, Design, and Torque Measurement Methods,” IEEE Trans. on Industrial Electronics, vol. 57, no. 1, pp. 296-303, Jan. 2010.
[19] N. Bianchi, S. Bolognani, and F. Luise, “High Speed Drive Using a Slotless PM Motor,” IEEE Transactions on Power Electronics, vol. 21, no. 4, pp. 1083-1090, July 2006.
[20] C. C. Hwang, P. L. Li, C. T. Liu and C. Chen, “Design and Analysis of a Brushless DC motor for Applications in Robotics,” IET Electric Power Applications, vol. 6, no. 7, pp. 385-389, Aug. 2012.
[21] 姚念宏，無槽式永磁無刷直流電動機之設計與製作，國立台灣科技大學電機工程研究所碩士論文，民國九十九年。
[22] T. H. Kim, S. H. Lee, W. M. Kim, “Design and Characteristic Analysis of High Speed Slotless Permanent Magnet Sychoronous Moter for Surgical Hand-piece,” IEEE Internation Conference on Industrial Technology, 2014.
[23] Agus Mujianto, Muh. Nizam, Inayati, “Comparation of the Slotless Brushless DC Motor (BLDC) and Slotted BLDC Using 2D Modeling,” IEEE International Conference on Electrical Engineering and Computer Science, 2014.
[24] Jian Wang, Shiyu Wang and Dongsheng Zhang, “Influence of Pole-Arc Width on Cogging Torque in Permanent Magnet Motors,” Proceedings of 2012 IEEE International Conference on Mechatronics and Automation, vol. 2, pp. 1254-1258, 2012.
[25] S. E. Abdollahi and S. Vaez-Zadeh, “Reducing Cogging Torque in Flux Switching Motors With Segmented Rotor,” IEEE Transactions on Magnetics, vol. 49, No. 10, 2013.
[26] C. Y. Hsiao, S. N. Yeh and J. C. Hwang, “A Novel Cogging Torque Simulation Method for Permanent-magnet Synchronous Machines,” Energies, pp. 2166-2178, 2011.
[27] Anchal Saxena and B. G. Fernandes, “Noise and Cogging Torque Reduction in Brushless DC Ceiling Fan,” 18th International Conference on Electrical Machines and Systems (ICEMS), 2015.
[28] An Yuejun, An Hui, Sun Dan, Zhao Wenqiang, Xue Liping, “Study on Cogging Torque in PM Motor with Pole Width Modulation Rotor,” IEEE Symposium on Electrical & Electronics Engineering, 2012.
[29] Mohammed Fazil and K. R. Rajagopal, “A Novel Air-Gap Profile of Single-Phase Permanent-Magnet Brushless DC Motor for Starting Torque Improvement and Cogging Torque Reduction,” IEEE Transactions on Magnetics, vol. 46, no. 11, Nov. 2010.
[30] Luke Dosiek and Pragasen Pillay, “Cogging Torque Reduction Permanent Magnet Machines,” IEEE Transactions on Industry Applications, vol. 43, no. 16, Nov. 2007.
[31] G. Ombach, J. Junak, “Torque Ripple Optimization of Skewed IPM Motor for Field Weakening Operation,” Electrical Machines and Systems, vol. 30, pp. 137-150, 2011.
[32] Mourad Chabchoub, Ibrahim Ben Salah, Guillaume Krebs, Rafik Neji and Claude Marchand, “PMSM Cogging Torque Reduction: Comparison between different shapes of magnet,” First Internation Conference on Renewable Energies and Vehicular Technology, pp. 206-211, 2012.
[33] 李輝煌，田口方法:品質設計的原理與實務，高立圖書，民國一
百年。
[34] Sung-Il Kim, Ji-Young Lee, Young-Kyoun Kim, Jung-Pyo Hong,Yoon Hur, and Yeon-Hwan Jung, “Optimization for Reduction of Torque Ripple in Interior Permanent Magnet Motor by Using the Taguchi Method,” IEEE Transactions on Magnetics, vol. 41, no. 5, May. 2005.
[35] 李鏈生，低成本高效率永磁馬達之最佳化設計與實現，國立成功大學工程科學系碩士論文，民國一百零三年七月。
[36] A. J. Sorgdrager, R-J.Wang, and A. J. Grobler, “Retrofit Design of a Line-Start PMSM Using the Taguchi Method,” IEEE International Electric Machines & Drives Conference (IEMDC), 2015.
[37] 廖祥帆，利用田口法優化LED燈管之研究，國立中央大學光電科學與工程學系碩士論文，民國一百年七月。
[38] http://3g.autooo.net/utf8-classid124-id57443.html， 車用BLDC水泵驅動方案。
[39] 廖福益，小型馬達技術，全華書局，民國九十二年。
[40] http://www.taigenem.com.tw，銣鐵硼磁石型錄，台全金屬股份有限公司。
[41] 林筱渝，電動手工具的轉矩感測器及驅動器研製，國立台灣科技大學電機工程系碩士論文，民國一百零三年七月。
[42] 蕭鈞毓，電機設計，國立台灣科技大學永磁電機設計課程講義，民國一百零四年三月。
[43] http://www.twword.com/wiki/%E9%87%B9%E9%90%B5%E7%A1%BC%E7%A3%81%E9%90%B5，台灣Word，釹鐵棚磁鐵。
[44] http://wiki.mbalib.com/zh-tw/%E5%85%A8%E8%B7%9D，智庫百科，全距。
[45] 菊地正典．影山隆雄，圖解電子裝置，世貿出版集團，民國九十八年。
[46] 羅振國，無刷直流馬達之自動相角調整晶片的設計與實現，國立交通大學電機與控制工程學系碩士論文，民國九十七年六月