本研究旨在對Halbach陣列之圓筒狀永磁線性發電機的系統模型做詳盡的推導，分析的過程中我們對發電機建立圓柱座標系統，而且透過馬克斯威爾方程式來推導以貝索函數為基底之線圈電流與永磁所產生的磁場分佈狀況，並進一步的求解定子線圈電感矩陣與永磁磁交鏈函數，接著再結合實際機械運動特性的相關參數來建構出發電機完整的系統數學模型。最後利用Matlab/Simulink軟體建立與模擬前述理論推導出來的數學模型，透過實驗平台的實際量測來驗證數學模型的正確性，以作為未來系統發展與應用之參考。

The objective of this thesis is to provide the modeling procedure for a tubular permanent magnet generator with Halbach array. The cylindrical-coordinated magnetic flux distributions generated by the stator winding currents and permanent magnets can be realized by deriving the magnetic vector potential in Bessel form from the Maxwell's equations. Then, the functional expressions of inductance matrix and magnetic flux linkage can be obtained. The detailed mathematic model of the proposed system combined with the actual operational properties can be further established and implemented by using the Matlab/Simulink software. The applicability of such mathematic model is also confirmed with experimental results.

第一章 緒論 1
1.1 前言 1
1.2 研究背景與動機 3
1.3 研究目標 6
第二章 管狀性電機發電機的系統模型推導與分析 7
2.1 理論背景 7
2.1.1 電機運動方式 7
2.1.2 線性電機的主體結構 8
2.1.3 管狀線性電機之動子結構 10
2.2 發電機架構 12
2.3 定子側三相線圈電感矩陣 15
2.4 轉子側永磁之磁交鏈方程式 28
第三章 系統模型的建立 36
3.1 系統方程式的建立 36
3.2 數學模型的建立與實驗平台設定 39
第四章 模擬分析與實測驗證 43
4.1 無載特性分析 43
4.2 負載特性分析 51
4.3 直流特性分析 60
第五章 結論與建議 63
參考文獻 65
作者自述 67

[1]葉惠青，“前瞻、創新、永續”，石油雜誌658期，pp. 26-27，裕華彩藝股份有限公司，台灣，2006。
[2]The House of presentatives/Publications, http://energycommerce.ho use.gov/index.php?option=com_content&task=view&id=1560,2009/07/10
[3]經濟部能源局/ 再生能源/ 再生能源發展條例，http://www.moeae c.gov.tw/board/boarddetail.aspx?serno=00953，2008/04/12。
[4]SCE/Environment/Renewable Energy/solar, http://www.sce.com/Powe rand Environment/Renewables/Solar/, 2009/06/12.
[5]N. Kagawa, “Design of A 100W Stirling Engine,” Proceedings, 7th IC SC, Tokyo, JSME, pp. 211, 1995.
[6]經濟部能源局/ 能源報導, http://energymonthly.tier.org.tw/outdateco ntent.asp?ReportIssue=9605&Page=34，2008/04/11。
[7]A. Muetze, J. G. Vining, and J. Goree, “Ocean wave energy conversi on – A survey,” Industry Applications Conference, 2006. 41st IAS Annual Meeting. Conference Record of the 2006 IEEE, vol. 3, pp. 1410-1417, Oct. 2006.
[8]Finavera Renewables/ file/ http://www.finavera.com/files/2008-10-23 %20Finavera%20Renewables%20charts%20wave%20energy%20path %20after%20CPUC%20decision.pdf, 2009/06/11.
[9]SCE/ Stirling dish technology, http://www.sce.com/NR/sc3/tm2/pdf/19 09-E.pdf, 2009/06/15.
[10]Designnews/ article/ Stirling Energy system, http://www.designnews. com/article/3592-Sun_Rises_on_Big_Solar.php, 2009/06/24.
[11]Finavera Renewables/ wavetech / System Configuration, http://www. finavera.com/en/wavetech/configuration, 2009/07/01.
[12]D. K. Cheng, Field and Wave Electromagnetics, Addison-Wesley Publi -shing Company, New York, U.S.A., 1989.
[13]J. Wang and D. Howe, “Tubular modular permanent-magnet machines equipped with quasi-Halbach magnetized magnets—Part I: magnetic field distribution, EMF, and thrust force,” IEEE Transactions on Magnetics, vol. 41, no. 5, pp. 2470-2478, Sep. 2005.
[14]Z. Q. Zhu and D. Howe, “Instantaneous magnetic field distribution in brushless permanent magnet dc motors, Part II: Armature-reaction field,” IEEE Transactions on Magnetics, vol. 29, no. 1, pp. 136-146, Jan. 1993.
[15]D. L. Trumper and W. J. Kim, “Design and analysis framework for linear permanent-magnet machines,” IEEE Transactions on Industry Applications, vol. 32, no. 2, pp. 371-379, Mar. 1996.
[16]N. Bianchi, “Analytical field computation of a tubular permanent-ma gnet linear motor,” IEEE Transactions on Magnetics, vol. 36, no. 5, pp. 3798-3801, Sep. 2000.
[17]W. J. Kim and B. C. Murphy, “Ocean wave energy conversion – A survey,” Industry Applications Conference, 2003. 38, IAS Annual Meeting. Conference Record of the IEEE, vol. 3, pp. 1664-1671, Oct. 2003.
[18]秀越實業/釹鐵棚磁石,http://www.supermaxtw.com/pdf/NdFeB.pdf， 2008/03/21。
[19]J. Wang, G. W. Jewell, and D. Howe, “A general framework for the analysis and design of tubular linear permanent magnet machines,” IEEE Transactions on Magnetics, vol. 41, no. 5, pp. 1986-2000, May 1999.
[20]馮丁樹，機動學，東華書局，台北，台灣，2003。
[21]顏鴻森，機構學，東華書局，台北，台灣，1999。