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系統識別號 U0026-0812200910374017
論文名稱(中文) 有限元素法分析掃頻式和脈衝式渦電流檢測
論文名稱(英文) Swept-frequency Eddy Current and Pulsed Eddy Current Simulations By The Finite Element Method
校院名稱 成功大學
系所名稱(中) 電機工程學系碩博士班
系所名稱(英) Department of Electrical Engineering
學年度 91
學期 2
出版年 92
研究生(中文) 王勝豐
研究生(英文) Sheng-Feng Wang
電子信箱 n2690205@ccmail.ncku.edu.tw
學號 n2690205
學位類別 碩士
語文別 中文
論文頁數 51頁
口試委員 口試委員-毛齊武
口試委員-黃世杰
指導教授-戴政祺
口試委員-李永春
中文關鍵字 有限元素法  渦電流 
英文關鍵字 finite element method  eddy current 
學科別分類
中文摘要 本論文利用有限元素法的模擬實現了脈衝式渦電流和掃頻式渦電流檢測的數值分析。我們也討論到利用有限元素法去完成並且分析二層導磁性金屬材料在磁場中的互相影響。脈衝式渦電流和掃頻式渦電流檢測的解析解已經很成功地適用於判定許多非破壞性檢測的現象,但是解析解只適用於簡單的幾何結構,為了預測更複雜結構材料的渦電流信號,必須使用到一些數值分析的方法,例如邊界元素法、有限元素法。以非破壞性檢測為目的的單一頻率渦電流數值分析的研究已經很成功地應用在許多解析解很難解甚至無法解的一些重要的檢測上。因為鍍層厚度檢測和材料參數的影響是非破壞性檢測的主要考量,所以我們利用有限元素法來分析脈衝式渦電流和掃頻式渦電流檢測的結果。並將數值分析計算出來的結果和理論值、實驗值做比較。
英文摘要 In this study, the numerical simulations of swept-frequency eddy current and pulsed eddy current by means of the finite element method (FEM) are demonstrated. Finite element simulations carried out to analyze the interactions of magnetic field with two-layer magnetic metal structure (i.e. a bulk metal with coating) are also discussed. The closed-form analytical solutions of swept-frequency eddy current and pulsed eddy current techniques have successfully been applied to the predications of many NDT phenomena. But the analytical solutions are only for simple geometry situations. To predict the EC signals of more complex material structure, numerical methods like boundary element method (BEM) or finite element method are used. The numerical study of single-frequency eddy-current phenomena for NDT purposes has successfully been applied to many practical inspection situations for which analytical solutions are either difficult or impossible to obtain. Since coating inspection and the influence of materials parameters (electrical conductivity, magnetic permeability) are the main concern of NDT applications, we take it as an example to show the prediction results of the frequency-domain swept-frequency eddy current and the time-domain pulsed eddy current by the finite element method. Results from the numerical calculations, practical measurements, and analytical solutions will be compared and demonstrated.
論文目次 中文摘要 Ⅰ
英文摘要 Ⅱ
致謝 Ⅲ
目錄 Ⅳ
表目錄 Ⅵ
圖目錄 VII
第一章 研究動機 1
第二章 原理 3
2-1渦電流原理 3
2-2線圈置於單層和雙層導體平板的阻抗 7
2-3頻域與時域渦電流方法 10
2-4有限元素法基本原理 11
2-4-1簡介 11
2-4-2基本概念 11
2-4-3有限元素法的分析過程 12
2-4-4二維問題建立內插函數 14
2-4-5建立元素的特徵矩陣的主要方法 16
2-5頻域與時域渦電流方法 20

第三章 系統軟體設計 24
3-1 FEMLAB有限元素套裝軟體 24
3-2軟體設計 27
3-2-1有限元素法模擬掃頻式渦電流檢測 29
3-2-2有限元素法模擬脈衝式渦電流檢測 32
第四章 結果與討論 34
4-1脈衝渦電流的形成 34
4-2脈衝式渦電流作單層金屬量測的有限元素分析 35
4-3脈衝式渦電流測量金屬鍍層厚度之有限元素分析 38
4-4不同線圈對PEC訊號的影響 42
4-5掃頻式渦電流的有限元素分析 45
第五章結論與展望 49
5-1結論 49
5-2未來展望 49
參考文獻 50
參考文獻 [1] 陳永增、鄧惠源 非破壞檢測 全華書局, 1999.
[2] 劉尹雄, “脈衝式渦電流檢測系統之設計與應用”, 國立成功大學電機碩士論文, 1999.
[3] C.-C. Tai, “Characterization of Coatings on Magnetic Metal Using the Swept-Frequency Eddy Current Method”, Review of Scientific Instruments.71(8), (Aug. 2000).
[4] C.-C. Tai, J. H. Rose, and J. C. Moulder, “Thickness and Conductivity of Metallic Layers From Pulsed Eddy Current Measurements”, in Review of Progress in QNDE, Vol. 15, edited by D. O. Thompson and D. E. Chimenti, p. 409 (Plenum Press, New York, 1996).
[5] C.-C. Tai, J. H. Rose, and J. C. Moulder, “Thickness And Conductivity of Metallic Layers From Pulsed Eddy Current Measurements”, in Review of Scientific Instruments. 67(11), p. 3965 (Nov. 1996).
[6] C.-C. Tai, J. H. Rose, and J. C. Moulder, “Thickness and Conductivity of Metallic Layers From Pulsed Eddy Current Measurements”, in Review of Progress in QNDE, Vol. 15, edited by D. O. Thompson and D. E. Chimenti, p. 409 (Plenum Press, New York, 1996).J. C. Moulder, C.-C. Tai, Brian Larson, and J. H. Rose, “Inductance of a Coil on a Thick Ferromagnetic Metal Plate”, IEEE Trans. on Magnetics, Vol. 34, No. 2, p.505–514 (March 1998).
[7] C.-C. Tai, J. H. Rose, and J. C. Moulder, “Thickness and Conductivity of Metallic Layers From Pulsed Eddy Current Measurements”, in Review of Progress in QNDE, Vol. 15, edited by D. O. Thompson and D. E. Chimenti, p. 409 (Plenum Press, New York, 1996).
[8] 加川幸雄 電子電氣有限要素 復漢出版社 民國八十九年.
[9] P.P.Silvester and R.L. Ferrari, Finite Elements for Electrical Engineers,2nd ed. New York: Cambridge University Press, 1990.
[10] William B. Bickford, Finite Element Method,2nd ed. Richard D. Irwin, Inc., 1994.
[11] Reinhold Ludwig ,“Numerical and Analytical Modeling of Pulsed Eddy Currents in a Conducting Half-Space”, IEEE Trans. on Magnetics, Vol. 26, No. 1, p.299–307 (January 1990).
[12] FEMLAB, User Guide and Introduction, COMSOL.
[13] FEMLAB, Electromagnetics Module, COMSOL.
[14] 戴政祺 楊弘吉 渦電流探頭尺寸與金屬夾層瑕疵檢測信號之關係探討 技術學刊 民國九十一年,第十七卷,第四期,p. 525.
[15] C.V. Dodd and W. E. Deeds, “Analytical Solutions to Eddy-Current Probe-Coil Problems”, J. Appl. Phys. 39, p. 2829 (1968).
[16] C. C. Cheng, C. V. Dodd, and W. E. Deeds, “General Analysis of Probe Coils Near Stratified Conductors”, Int. J. Nondestr. Test. 3, 109 (1971).
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