為了探究在設計階段中由電磁鋼片所製作之電機產品的操作性能，本研究提出了一套數值化鐵損估算方法，可以充分且合理地評估其產品的鐵損資訊。由於電機產品的不規則結構及搭配各種電力電子裝置的應用，使得電機內部的操作磁通分布不均並含有高次諧波。而在此操作情況下，為了有效求得合理的產品鐵損值，除非使用昂貴的軟體工具進行大量運算，否則僅使用傳統標準量測系統針對單一鋼片所測得的有限資訊套入到現有之常用鐵損估算方法來進行計算，會使得其估算值與成品鐵損實測值有很大的落差。為了克服這些缺點，本論文整合了既有鐵損估算方法之優點，提出一套新的數值方法。此方法首先將欲評估的電機產品結構進行適當的分割，並考量電磁鋼片的非線性磁化特性，藉由疊代等效磁路法求得電機內部各區塊的初步操作磁通資訊，再利用愛波斯坦方圈等效電路結合Preisach模型進行模擬，透過推導出所需的電源外加於此數值化電路中，可模擬出電機中各區塊含有因諧波效應產生的磁滯內迴圈特性的操作情形，並透過此數值化電路系統資訊，進行渦流損與磁滯損的計算，如此一來，操作在實際狀況下之電機產品的鐵損值可被合理地估計出。根據前述所提出的數值化鐵損估算方法，本研究中將分別針對單相變壓器與開關磁阻電動機進行深入探討，深信透過本研究的成果，對於任何使用電磁鋼片所製作的電機產品，在性能評估及材料選擇上都可提供一個可信賴且具有參考價值的鐵損估算方法。

The objective of this thesis is to provide a reliable and effective iron loss estimation scheme for the electromagnetic steel products in the design and on-line operation stages. To investigate the possible performance of electromagnetic steel products, proper iron loss information of the products that are constructed by different steels is one of the key concerns. Along with the various power electronic device applications and iron core structures, the magnetic fluxes flowing through the machine cores will be non-uniform and include harmonic terms. Unless excessive computation efforts in expensive software tools are performed, large discrepancies will be exhibited the estimated and actual values of machine iron losses. To overcome these drawbacks, a rational machine iron loss estimation scheme is proposed. By adopting the iterative magnetic equivalent circuits and the nonlinear magnetic characteristics of the electromagnetic steels, the preliminary operational flux information in the machine is first obtained, and then a numerical Epstein Frame test circuit with magnetizing inductance modeled by Preisach model is applied. With appropriate circuit input voltages devised from preliminary information, the detailed hysteresis inner-loop characteristics resulting from product structures and magnetization harmonics can be properly modeled. Based on the circuit results, the iron losses of electric machines with any operation can be rationally evaluated, and a valuable reference in machine designing can be provided.

論文審定書.....................................................................................................................i
誌謝................................................................................................................................ii
中文摘要.......................................................................................................................iii
英文摘要.......................................................................................................................iv
目錄................................................................................................................................v
圖目錄..........................................................................................................................vii
表目錄...........................................................................................................................ix
符號對照表....................................................................................................................x
第一章 緒論............................................................................................................1
1.1 前言.........................................................................................................................1
1.2 研究背景與動機.....................................................................................................4
1.3 研究目標與重點.....................................................................................................8
第二章 鐵損量測系統與鐵損計算......................................................................10
2.1 鐵損概述...............................................................................................................10
2.2 鐵損標準量測系統介紹.......................................................................................12
2.3 電機鐵損計算方法...............................................................................................16
2.3.1 初步磁通密度估算法則................................................................................16
2.3.2 鐵損資料的使用............................................................................................19
2.4 鐵損實測資料與鐵損估算方法之整合...............................................................22
第三章 數值化鐵損估算方法................................................................................24
3.1 鐵損估算方法的建立...........................................................................................24
3.2 疊代等效磁路法...................................................................................................27
3.3 數值化標準量測平台模型建立...........................................................................30
3.3.1 標準愛波斯坦方圈基本原理........................................................................30
3.3.2 標準愛波斯坦方圈之等效電路....................................................................33
3.3.3 標準愛波斯坦方圈系統之輸入電壓Vs 推算.............................................36
3.3.4 愛波斯坦方圈等效電路之磁化電感 Lm1之模型建構..............................36
3.4 使用電路資訊進行鐵損計算...............................................................................43
第四章 外鐵型單相變壓器鐵損估算....................................................................44
4.1 有限元素分析軟體之鐵損計算說明...................................................................44
4.2 一般常用頻率電源輸入下之變壓器鐵損估算...................................................46
4.3 較高頻率操作條件下之變壓器鐵損估算...........................................................60
4.4 含有高次諧波操作條件下之變壓器鐵損估算...................................................64
第五章 開關磁阻電動機鐵損估算........................................................................69
5.1 套用有限元素分析軟體之鐵損估算...................................................................69
5.2 套用數值化鐵損估算方法之鐵損估算...............................................................72
第六章 討論與結論................................................................................................81
參考文獻......................................................................................................................84

[1] 台灣電力公司/經營績效/統計資料/歷年行業用電，http://www.taipower.com.tw/ TaipowerWeb//upload/files/14/main_2_5_2_5.pdf，2012/05/30.
[2] 郭欽弘、鄭詠仁、賴慶峰、詹全富與黃穎焜，“高效率馬達能源效率測試方式概述，”機械工業雜誌331期，pp. 41-48，99年10月號。
[3] 經濟部能源局/能源政策與措施/能源局年報/96年度~99年度http://www.moeaboe.gov.tw/Download/Policy/files/能源局99年報.pdf，2012/05/30.
[4] U. S. Department of Energy/Office/Program Offices/Office of Energy Efficiency & Renewable Energy/Advaced Manufacturing Office/Technology Deployment/ Technical Publications, http://www1.eere.energy.gov/manufacturing / tech_ deploy- ment, 2012/5/31.
[5] 中鋼公司/客戶服務/產品製造/產品介紹/塗鍍產品/電磁鋼捲，http://www.csc. com.tw /csc/pd/int_e.htm, 2012/05/30.
[6] 中鋼公司/客戶服務/產品製造/產品規範/塗鍍產品/電磁鋼捲，http:// www.csc.com.tw/csc/pd/mlg_std5_1.htm, 2012/05/30.
[7] T. L. Mthombeni, P. Pillay, and R. M. W. Strnat, “New Epstein Frame for lamination core loss measurements under high frequencies and high flux densities,” IEEE Trans. Energy Conv., vol. 22, no. 3, pp. 614-620, Sep. 2007.
[8] A. Krings and J. Soulard, “Overview and comparison of iron loss models for electrical machines,” J. Elec. Eng. and Tech., vol. 10, no. 3 pp. 162-169, 2010.
[9] International Standard, CEI IEC 404-2, Methods of measurement of the magnetic properties of electrical steel sheet and strip by means of an Epstein Frame, 1996.
[10] ASTM Standard, A 343-97, Standard test method for alternating- current magnetic properties of materials at power frequencies using wattmeter-ammeter-voltmeter method and 25-cm Epstein Test Frame, 1997.
[11] T. Yamamoto and Y. Ohya, “Single sheet tester for measuring core losses and permeabilities in a silicon steel sheet,” IEEE Trans. Magn., vol. 10, no. 2, pp. 157-159, Jun. 1974.
[12] S. Zurek, F. AL-Naemi, and A. J. Moses, “Finite-element modeling and measurements of flux and eddy current distribution in toroidal cores wound from electrical steel,” IEEE Trans. Magn., vol. 44, no. 6, pp. 902-905, Jun. 2008.
[13] N. Nencib, A. K. Lebouc, and B. Cornut, “2D analysis of rotational loss tester,” IEEE Trans. Magn., vol. 31, no. 6, pp. 3388-3390, Nov. 1995.
[14] A. Hasenzagl, B. Weiser, and H. Pfützner, “Novel 3-phase excited single sheet tester for rotational magnetization,” J. Magn. and Magn. Mater., vol. 160, no. 1, pp. 180-182, Jul. 1996.
[15] D. Makaveev, J. Maes, and J. Melkebeek, “Waveform control algorithm for rotational single sheet testers using system identification techniques,” J. Appl. Phys., vol. 87, no. 9, pp. 5983-5985, Jun. 2009.
[16] J. J. Zhong and J. G. Zhu, “Electromagnetic design of a 3D tester for magnetic properties of soft magnetic materials,” Proc. 5th Inter. Conf. Elec. Mach. Syst. vol. 1, pp. 392-395, Aug. 2010.
[17] H. C. Roters, Electromagnetic Devices, John Wiley & Sons. Inc., New York, 1941.
[18] 陳俊豪譯，有限元素法導論，科技圖書股份有限公司，台北，台灣，1997。
[19] 王至勤譯，有限元素法，曉園出版社，台北，台灣，1985。
[20] C. Steinmetz, “On the law of hysteresis,” Proc. IEEE, vol. 72, no.2, pp. 197-221, 1984.
[21] H. Jordan‚ “Die ferromagnetischen konstanten für schwache wechselfelder, ” Elektr. Nach. Techn., vol. 1, pp. 8, 1924.
[22] F. Fiorillo and A. Novikov, “An improved approach to power losses in magnetic laminations under nonsinusoidal induction waveform,” IEEE Trans. Magn., vol. 26, no. 5, pp. 2904-2910, Sep. 1990.
[23] F. Preisach, “Über die magnetische nachwirkung,” Zeitschrift für Physik, vol. 61, pp. 277-302, 1935.
[24] D. L. Atherton and J. R. Beattie, “A mean field Stoner-Wohlfarth hysteresis model,” IEEE Trans. Magn., vol. 26, no. 6, pp. 3059-3063, Nov. 1990.
[25] D. C. Jiles and D. L. Atherton, “Ferromagnetic hysteresis,” IEEE Trans. Magn., vol. 19, no. 5, pp. 2183-2185, Sep. 1983.
[26] M. A. Krasnoselskii and A. V. Pokrovskii, Systems with Hysteresis, Springer-Verlag, New York, 1989.
[27] S. R. Naidu, “Simulation of the hysteresis phenomenon using Preisach's theory,” IEE Proc., vol. 137, pt. A, no. 2, pp. 73-79, Mar. 1990.
[28] F. Liorzou, B. Phelps, and D. L. Atherton, “Macroscopic model of magnetization,” IEEE Trans. Magn., vol. 36, no. 2, pp. 418-428, Mar. 2000.
[29] S. Y. R. Hui and J. Zhu, “Numerical modeling and simulation of hysteresis effects in magnetic cores using transmission-line modeling and the Preisach theory,” IEE Proc. Elec. Power Appl., vol. 142, no. 1, pp. 57-62, Jan. 1995.
[30] S. A. Nasar, Schaum's Outline of Theory and Problems of Electric Machines and Electromechanics, McGraw-Hill, NY, U. S. A., 1998.
[31] JSOL Corporation, JMAG-Studio V10.0, Tokyo, Japan, 2011.