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研究生：	安彥睿 An, Yen-Jui
論文名稱：	靜磁與靜電場之有限元素分析 Finite element analysis of static and electrostatic field problems
指導教授：	何旭彬 Ho, Shi-Pin
學位類別：	碩士 Master
系所名稱：	工學院 - 機械工程學系 Department of Mechanical Engineering
論文出版年：	2006
畢業學年度：	94
語文別：	中文
論文頁數：	72
中文關鍵詞：	有限元素、靜磁、靜電、導電體
外文關鍵詞：	electric conduction, finite element, electrostatic, static mmagnetic
相關次數：	點閱：130 下載：5
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本論文主要以有限元素法，分析靜磁與靜電場問題。所探討的問題類型有：靜磁場純量磁位控制方程式於磁路問題上，以純量磁位表示靜磁磁路問題控制方程式的問題變數。靜電場純量電位控制方程式於靜電介質體問題、穩態導電體問題，低頻之下時間諧和導電體問題，以純量電位表示靜電、穩態及時間諧和導電體之控制方程式的問題變數。
　　運用有限元素之變分程序，轉成聯立線性方程組於程式運算中來進行求解。配合問題的需要，給予適當的邊界條件。程式運算之結果，用表格加以整理，與商業化有限元素軟體ANSYS 輸出結果比較，以驗證求解過程之正確性。

Finite Element method is used to analyze some static magnetic and electrostatic field problems in the thesis.
The analyses in the thesis are: the magnetic scalar potential governing equation is used in static magnetic analysis. The variable in static magnetic analysis is magnetic scalar potential. The electric scalar potential governing equation is used in electrostatic, steady-state and low frequency time-harmonic analyses. The variable in electrostatic analysis, steady-state and time-harmonic electric conduction analysis is electric
scalar potential.
By the variational processes, linear simultaneous equations which to be solved in program codes are converted from the governing equations. Proper boundary conditions are applied according to different problems. Numerical results are presented in tables and are compared with the results from the ANSYS, to check the corrections of the computational procedures.

中文摘要...................................................................... I
英文摘要..................................................................... II
誌謝........................................................................ III
目錄......................................................................... IV
表目錄...................................................................... VII
圖目錄..................................................................... VIII
符號說明...................................................................... X
第一章 緒論................................................................... 1
1.1 前言...................................................................... 1
1.2 研究動機.................................................................. 1
1.3 文獻回顧.................................................................. 2
1.4 論文架構.................................................................. 3
第二章 相關理論............................................................... 4
2.1 馬克斯威爾方程式.......................................................... 4
2.2 靜磁理論分析.............................................................. 6
2.2.1 磁性物質材料............................................................ 7
2.2.2 導磁係數................................................................ 9
2.2.3 永久磁鐵............................................................... 11
V
2.2.4 靜磁場純量磁位法....................................................... 12
2.3 靜電理論分析............................................................. 14
2.4 穩態與時間諧和導電體理論分析............................................. 16
2.4.1 電荷守恆原理........................................................... 16
2.4.2 穩態導電體............................................................. 19
2.4.3 時間諧和導電體......................................................... 20
第三章 有限元素法公式推導.................................................... 22
3.1 靜磁有限元素法公式推導................................................... 22
3.2 靜電有限元素法公式推導................................................... 25
3.3 穩態導電體有限元素法公式推導............................................. 27
3.4 時間諧和導電體有限元素法公式推導......................................... 28
3.5 有限元素法程式架構....................................................... 30
第四章 問題描述與程式結果.................................................... 32
4.1 靜磁問題與程式結果....................................................... 32
4.1.1 隱極式永久磁體磁路靜磁問題............................................. 37
4.1.2 面極式永久磁體磁路靜磁問題............................................. 43
4.2 靜電問題與程式結果....................................................... 48
4.2.1 靜電介質體問題......................................................... 48
4.2.2 穩態導電體負載節點電流問題............................................. 53
4.2.3 穩態導電體拘束節點電位問題............................................. 58
4.2.4 時間諧和導電體負載節點電流問題......................................... 63
第五章 結論與建議............................................................ 68
參考文獻..................................................................... 70
自述......................................................................... 72
                                    

[1] D. K. Cheng, Field and Wave Electromagnetics, 2nd,
Addison-Wesley Publishing Company, 1989.

[2] M. Koizumi, M. Onisawa and M. Utamura. “Three- Dimensional
Magnetic Field Analysis Method Using Scalar Potential
Formulated by Boundary Element Method”, IEEE Transactions on
Magnetics, Vol.26, No. 2, pp. 360-363, March 1990.

[3] M. Ayoub, F. Roy, F. Bouillault and A. Razek. “Numerical
Modelling of 3D Magnetostatic saturated structures with a hybrid
FEM-BEM technique”, IEEE Transactions on Magnetics, Vol. 28,
No.2, pp. 1052-1055, March 1992.

[4] O. C. Zienkiewicz, J. Lyness and D. R. J. Owen,
“Three-Dimensional Magnetic Field Determination using a Scalar
Potential – a Finite Element Solution”, IEEE Transactions on
magnetics, Vol. Mag-13, No. 5, pp.1649-1656, September 1977.

[5] O. Biro and K. Preis. “On the Use of the Magnetic Vector Potential
in the Finite Element Analysis of Three-Dimensional Eddy
Currents”, IEEE Transactions on Magnetics, Vol. 25, No. 4, pp.
3145-3159, July 1989.

[6] P. Robert, M. Ito and T. Takahashi. “Numerical Solution of Three
Dimensional Transient Eddy Current Problem by A-ΦMethod”,
IEEE Transactions on Magnetics, Vol.28, No.2, pp.1166-1169,
March 1992.

[7] Carl, T.A. and Johnk. Engineering Electromagnetic Fields and
Waves, 2nd, John Wiley & Sons Inc., 1988.

[8] 王以真。實用磁路設計，初版二刷，全華科技圖書股份有限公司，2000。

[9] ANSYS. ANSYS Online Documentation, SAS IP Inc., USA,
ANSYS Inc. Theory Reference Ch5 Electromagnetics, 2005.

[10] J. N. Reddy, An Introduction to the Finite Element Method, 3rd,
Mc-Graw Hill, 2006.

[11] ANSYS. ANSYS Online Documentation, SAS IP, Inc., USA,
Verification Manual Part I. Verification Test Case Descriptions
VM169, 2005.

[12] ANSYS. ANSYS Online Documentation, SAS IP Inc., USA,
ANSYS Inc. Element Reference Part I. Element Library, 2005.

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校外：2006-07-19公開

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