本論文主要使用混合田口方法與基因演算法建立一套無線傳能系統最佳容忍錯位線圈的優化設計方法，此方法最大優點是能以田口方法快速選擇變數參數，並藉由ANFIS模型，將能用較少量的變數去提高運算耦合係數變化量∆k，最後再透過基因演算法快速找出最佳容忍錯位的線圈參數。在定點式無線傳能線圈，效率的穩定與耦合係數k有密切的關係，然而，線圈錯位會導致耦合係數下降，將使得傳輸效率大幅下降。本論文提出一種較簡易且低成本的線圈優化設計方法來提高錯位容忍能力，使無線傳能系統在線圈產生錯位時效率下降幅度較為緩和；相較於一般錯位情況時必須調整電路參數、定位機構等較貴重複雜。最後，以本論文所設計之最佳容忍錯位方法實際繞製線圈進行實驗測試，證明其能夠在20公分錯位情況下保持83.32%以上的傳輸效率；錯位於30公分時效率保持在60.1%之上。

This study aims to establish the optimization design of a best tolerate alignment coil by mixing Taguchi Methods and Genetic Algorithm (GA). Such a method presents the advantage of rapidly selecting variable parameters with Taguchi Methods, enhancing the operation of coupling factor variation ∆k with few variables through ANFIS model, and rapidly finding out the coil parameters with the best tolerate misalignment through Genetic Algorithm (GA). The stability of positioning wireless power transfer efficiency is closely related to the coupling factor k; however, the decrease of coupling factor caused by increasing misalignment would largely reduce the transmission efficiency. A simpler and low-cost coil optimization design is proposed in this study to enhance the tolerate misalignment ability so as to release the efficiency decline when the wireless power transfer system is misaligned. Besides, it is not necessary to adjust circuit parameters and positioning mechanisms under misalignment in order to acquire stable power transfer efficiency. Finally, the best tolerate misalignment coil designed in this study is wound and tested that up to 83.32% efficiency could be remained under 20cm misalignment and more than 60.1% efficiency could be remained under 30cm misalignment.

[1] 北美智權報 第115期：TESLA大戰TOYOTA 電動車之爭誰能勝出？
[2] G. Ma and Guotai Jiang, "Review of Tumor Hyperthermia Technique in Biomedical Engineering Frontier," The 3rd International Conference on Biomedical Engineering and Informatics (BMEI), vol. 4, pp. 16-18, 2010.
[3] D. K. Swanson, W. J. Smith, T. Ibrahim, and Andrew S. Wechsler, "Tissue Temperature Feedback Control of Power：The Key to Successful Ablation," International Society for Minimally Invasive Cardiothoracic Surgery, 2011.
[4] Timon Singh. (2011, Feb.). World's first wireless electric car charger launched in UK [Online]. Available: http://inhabitat.com/worlds-first-wireless-electric-car-charger-launched-in-uk/
[5] S. Moon, B. C. Kim, S. Y. Cho, C. H. Ahn, and G. W. Moon, “Analysis and Design of Wireless Power Transfer System with an Intermediate Coil for High Efficiency,” IEEE Transactions on Industrial Electronics, Vol. 61, No. 11, pp. 5861-5870, Nov. 2014.
[6] J. W. Lee and T. P. Duong, “Experimental results of high-efficiency resonant coupling wireless power transfer using a variable coupling method,” IEEE Microw. Wireless Compon. Lett., Vol. 21, No. 8, pp. 442-444, Aug. 2011.
[7] S. Moon, B. C. Kim, S. Y. Cho, C. H. Ahn, and G. W. Moon, “Influence Factors Analysis and Improvement Method on Efficiency of Wireless Power Transfer Via Coupled Magnetic Resonance,” IEEE Transactions on Magnetics, Vol. 50, No. 4, Apr. 2014.
[8] M. Terazoe, “Electric Coupling Apparatus for Charging Device,” U.S. Patent, No. 6320352, A1, 2001.
[9] W. Zhang, S. C. Wong, C. K. Tse, and Q. Chen, “Design for Efficiency Optimization and Voltage Controllability of Series–Series Compensated Inductive power transfer (IPT) Systems,” IEEE Transactions on Power Electronics, Vol. 29, No. 1, pp. 191-200, Jan. 2014.
[10] C. J. Chang, C. M. Hung, and C. C. Tai, “Numerical and Experimental Studies of The Effects of Parallel Inductive Coils and Distance Variation on Wireless Power Transfer Systems of Electric Vehicles,” IEEE International Conference on Industrial Technology (ICIT), pp. 2662-2666, Mar. 2015.
[11] M. Budhia, G. A. Covic, and J. T. Boys, “Design and optimization of circular magnetic structures for lumped inductive power transfer (IPT) systems,” IEEE Transactions on Power Electronics, Vol. 26, No. 11, pp. 3096-3108, Nov. 2011.
[12] X. Zhang, S. L. Ho, and W. N. Fu, “Quantitative analysis of a wireless power transfer cell with planar spiral structures,” IEEE Transactions on Magnetics, Vol. 47, No. 10, pp. 3200-3203, Oct. 2012.
[13] G. A. Covic, M. Budhia, J. T. Boys, and C. Y. Huang, “Development of a single-sided flux magnetic coupler for electric vehicle IPT charging systems,” IEEE Transactions on Industrial Electronics, Vol. 60, No. 1, pp. 318-328, Jan. 2013.
[14] C. L. Lin, C. J. Chen, T. H. Chu, and Z. C. Jou, “A study of loosely coupled coils for wireless power transfer,” IEEE Transactions on Circuits and Systems II, Exp. Briefs, Vol. 57, No. 7, pp. 536-540, July 2010.
[15] S. Y. R. Hui, W.X. Zhong, and C. K. Lee, “Effects of magnetic coupling of nonadjacent resonators on wireless power domino-resonator systems,” IEEE Transactions on Power Electronics, Vol. 27, No. 4, pp. 1905-1916, April 2012.
[16] G. A. Covic, M. Budhia, J. T. Boys, and C. Y. Huang, “Analysis of Co-Planar Intermediate Coil Structures in Inductive power transfer (IPT) Systems,” IEEE Transactions on Power Electronics, Auckland, New Zealand, pp. 1783-1790, Dec. 2014.
[17] Y. Hori and T. Imura, “Maximizing air gap and efficiency of magnetic resonant coupling for wireless power transfer using equivalent circuit and neumann formula,” IEEE Transactions on Industrial Electronics, Vol. 58, No. 10, pp. 4746-4752, Oct. 2011.
[18] P. Kotchapansompote, W. Yafei, T. Imura, H. Fujimoto, and Y. Hon, “Electric vehicle automatic stop using wireless power transfer antennas,” Annual Conference on IEEE Industrial Electronics Society, Melbourne, Australia, pp. 3840-3845, Nov. 2011.
[19] Y. Kaneko, and S. Abe, “Technology trends of wireless power transfer systems for electric vehicle and plug-in hybrid electric vehicle,” IEEE International Conference on Power Electronics and Drive Systems, Kitakyushu, Japan, pp. 1009-1014, Apr. 2013.
[20] D. Kurschner, C. Rathge, and U. Jumar, “Design Methodology for High Efficient Inductive power transfer (IPT) Systems With High Coil Positioning Flexibility,” IEEE Transactions on Industrial Electronics, Vol. 60, No. 1, pp. 372-381, Jan. 2013.
[21] M. Q. Nguyen, Z. Hughes, P. Woods, Y. S. Seo, S. Rao, and J. C. Chiao, “Field Distribution Models of Spiral Coil for Misalignment Analysis in Wireless Power Transfer Systems,” IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 4, pp. 920-930, Apr. 2014.
[22] J. L. Villa, J. Sallan, J. F. S. Osorio, and A. Llombart, “High-Misalignment Tolerant Compensation Topology for ICPT Systems,” IEEE Transactions on Industrial Electronics, Vol. 59, No. 2, pp. 945-951, Feb. 2012.
[23] J. Sallan, J.L. Villa, A. Llombart, and J.F. Sanz, “Optimal Design of ICPT Systems Applied to Electric Vehicle Battery Charge,” IEEE Transactions on Industrial Electronics , Vol. 56, No. 6, pp. 2140-2149, June 2009.
[24] C. T. Rim, J. Huh, S. W. Lee, W. Y. Lee, and G. H. Cho, “Narrow-width inductive power transfer (IPT) system for online electrical vehicles,” IEEE Transactions on Power Electronics, Vol. 26, No. 12, pp. 3666-3679, Dec. 2011.
[25] J. Shin, S. Shin, Y. Kim, S. Ahn, S. Lee, G. Jung, S.J. Jeon, and D.H. Cho, “Design and Implementation of Shaped Magnetic-Resonance-Based Wireless Power Transfer System for Roadway-Powered Moving Electric Vehicles,” IEEE Transactions on Industrial Electronics, Vol. 61, No. 3, pp. 1179-1192, March 2014.
[26] S. Y. Cho, I. O. Lee, S. C. Moon, G. W. Moon ; B. C. Ki, and K. Y. Kim, “Series-series compensated wireless power transfer at two different resonant frequencies,” IEEE ECCE Asia Downunder, Melbourne, Australia, pp. 1052-1058, Jun. 2013.
[27] S. Suh, and J. Kim, “Electric vehicle on-road dynamic charging system with wireless power transfer technology,” IEEE International Electric Machines & Drives Conference, Chicago, United States of America, pp. 234-240, May. 2013.
[28] S. Lee, J. Huh,C. Park, N. S. Choi, G. H. Cho, and C. T. Rim, “On-Line Electric Vehicle using inductive power transfer (IPT) system,” IEEE Energy Conversion Congress and Exposition, Atlanta, United States of America, pp. 1598-1601, Sep. 2010.
[29] S. Suh, K. Lee, and M. Lee, “Dynamic model and control algorithm of HVAC system for dynamic wireless charging EV application,” IEEE International Electric Machines & Drives Conference, Chicago, United States of America, pp. 241-246, May. 2013.
[30] T. S. Lee, S. J. Huang, C. C. Tai, R. Y. Chen,and B. R. Jiang, “Design of wireless power transfer for dynamic power transmission with position-detection mechanism,” IEEE International Conference on Industrial Technology (ICIT), pp. 976-981, Mar. 2015.
[31] J. A. Russer, and P. Russer, “Design Considerations for a Moving Field Inductive power transfer (IPT) System,” IEEE Wireless Power Transfer (WPT), pp. 147-150, May. 2013.
[32] S. Li, and C. C. Mi, “Wireless Power Transfer for Electric Vehicle Applications,” IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 3, No. 1, pp. 4-17, Mar. 2015.
[33] M. Budhia, G. Covic, and J. Boys, “Magnetic design of a three-phase Inductive power transfer (IPT) system for roadway powered Electric Vehicles,” IEEE International Conference on Vehicle Power and Propulsion, Lille, France, Vol. 1, pp. 1-6, Sep. 2010.
[34] Z. Dang, and J. A. Qahouq, “Modeling and Investigation of Magnetic Resonance Coupled Wireless Power Transfer System with Lateral Misalignment,” 2014 Twenty-Ninth Annual IEEE Applied Power Electronics Conference and Exposition (APEC), pp. 1317-1322, Mar. 2014.
[35] K.. Na, H. Jang, H. Ma, and F. Bien, “Tracking Optimal Efficiency of Magnetic Resonance Wireless Power Transfer System for Biomedical Capsule Endoscopy,” IEEE Transactions on Microwave Theory and Techniques, Vol. 63, No. 1, pp. 295-304, Jan. 2015.
[36] Q. Zhu, Y. Guo, L. Wang, C. Liao, and F. Li, “Improving the Misalignment Tolerance of Wireless Charging System by Optimizing the Compensate Capacitor,” IEEE Transactions on Industrial Electronics, Vol. 62, No. 8, pp. 4832-4836, Aug. 2015.
[37] J. Schneider, “SAE J2954 Overview and Path Forward,” SAE International.
[38] J. Schneider, “SAE TIR J2954Wireless Charging of Electric and Plug-in Hybrid Vehicles,” SAE International.
[39] Ho, Wen-Hsien; Chan, Agnes Lai-Fong "Hybrid Taguchi-Differential Evolution Algorithm for Parameter Estimation of Differential Equation Models with Application to HIV Dynamics", Mathematical Problems in Engineering, Volume.2011, pp.1, 2011, ISSN: 1024123X,
[40] J.-T. Tsai, T.-K. Liu, and J.-H. Chou, “Hybrid Taguchi-genetic algorithm for global numerical optimization,” IEEE Transactions on Evolutionary Computation, vol. 8, no. 4, pp. 365–377, 2004.
[41] C. C. Hwang, C. M. Chang, and C. T. Liu, “A Fuzzy-Based Taguchi Method for Multiobjective Design of PM Motors,” IEEE Transactions on Magnetics, Vol. 49, No. 5, pp. 2153-2156, May. 2013.
[42] W. C. Weng, F. Yang, and A. Z. Elsherbeni, “Linear Antenna Array Synthesis Using Taguchi's Method A Novel Optimization Technique in Electromagnetics,” IEEE Transactions on Antennas and Propagation, Vol. 55, No. 3, pp. 723-730, Mar. 2007.
[43] J. S. R. Jang, "Adaptive network-based fuzzy inference systems," IEEE Transaction on System, Man and Cybernetics Society, vol. 23, no. 3, pp. 665-685, 1993.
[44] J. S. R. Jang and C. T. Sun, "Neuro-fuzzy modeling and control," Proceedings of the IEEE, vol. 83, no. 3, pp. 378-406, 1995.
[45] Daniel Fleisch, “A Student's Guide to Maxwell's Equations,” Cambridge University Press, 2008.
[46] Edward M. Purcell, and David J. Morin, “Electricity and Magnetism,” Cambridge University Press, 2013.
[47] S. Sharif, and K. Sharif, “Influence of skin effect on torque of cylindrical eddy current brake,” International Conference on Power Engineering, Energy and Electrical Drives, Lisbon, Portugal, pp.535-539, Mar. 2009.
[48] Mikael Cederlöf, “Inductive Charging of Electrical Vehicles System Study,” KTH Electrical Engineering, 2012.
[49] X. Liu, and S. Y. R. Hui, “Optimal Design of a Hybrid Winding Structure for Planar Contactless Battery Charging Platform,” IEEE Transactions on Power Electronics, Vol. 5, No. 4, pp. 2568-2575, Oct. 2006.
[50] O. H. Stielau, and G. A. Covic, “Design of Loosely Coupled Inductive Power Transfer Systems,” IEEE International Conference on Power System Technology, Perth, Australia, Vol. 1, pp. 85-90, Dec. 2000.
[51] N. Mohan, T. M. Undeland, and W. P. Robbins, “Power Electronics：Converters, Applications, and Design,” John Wiley & Sons, Inc, 1995.
[52] 吳宗勳，「高功率感應加熱系統之數位溫度回授控制電路設計與腫瘤熱療應用」，國立成功大學電機工程學系碩士論文，2013。
[53] 劉子溢，「電動車寬頻帶與高效率無線電能傳輸系統研製」，國立成功大學電機工程學系碩士論文，2015。
[54] COMSOL MULTIPHYSICS 多重物理量有限元素工程分析軟體使用手冊，皮托科技股份有限公司
[55] COMSOL MULTIPHYSICS, User’s Guide, Version 3.5 a. 皮托科技股份有限公司
[56] TMS320F28335 Datasheet, Texas Instruments Technology Inc., 2009. [Online] Available: http://www.farnell.com/datasheets/1719426.pdf
[57] 藍毓傑，「垂直式滾珠螺桿之螺帽分析與設計」，國立成功大學工程科學系碩士論文，2014。
[58] 李輝煌，田口方法-品質設計原理與實務，新北市：高立圖書有限公司，2013
[59] 羅錦興，田口品質工程指引，新北市，中國生產力中心，1999
[60] 周鵬程，遺傳演算法原理與應用-活用Matlab，全華科技圖書股份有限公司，94年12月。
[61] 孫宗瀛，楊英魁， Fuzzy控制：理論、實作與應用，台北：全華圖書，1994。