淡江大學覺生紀念圖書館 (TKU Library)
進階搜尋


下載電子全文限經由淡江IP使用) 
系統識別號 U0002-3007202001410000
中文論文名稱 B樣條模型之EVA膜交聯度最佳層壓試驗
英文論文名稱 Optimal lamination test for EVA sheets based on B-spline
校院名稱 淡江大學
系所名稱(中) 數學學系數學與數據科學碩士班
系所名稱(英) Master's Program, Department of Mathematics
學年度 108
學期 2
出版年 109
研究生中文姓名 陳怡芬
研究生英文姓名 Yi-Fen Chen
學號 608190020
學位類別 碩士
語文別 中文
口試日期 2020-06-30
論文頁數 32頁
口試委員 指導教授-蔡志群
委員-林千代
委員-彭健育
中文關鍵字 B樣條迴歸模型  EVA膜交聯度  最小極值分配 
英文關鍵字 B-spline regression model  cross-linking degree of EVA  smallest extreme value distribution 
學科別分類
中文摘要 由於非再生能源日益枯竭,喚醒了人們對再生能源的重視。太陽能具有取之不盡,用之不竭的特點,因此被視為重要的再生能源之一,並廣泛應用於日常生活。而太陽能電池模組(solar module)的製程中,EVA膜(ethylene vinyl acetate sheet, EVA sheet)的交聯度(cross-linking degree)是影響太陽能電池發電效率與長期壽命的關鍵因素。本文透過化學法,間接量測EVA膜的交聯度,接著建構出一單調B樣條迴歸模型,來描述層壓時間與EVA膜交聯度之間的關係,由模型進而求得EVA膜的最佳層壓時間。最後,考量模型誤判的情形,本研究以模擬的方式,探討二次曲線關係的EVA膜層壓試驗資料,誤用一次線性模型之配適影響。
英文摘要 Due to the depletion of non-renewable energy, people become increasingly concern about renewable energy. Solar energy is inexhaustible, so it is regarded as one of the important renewable resources and is widely used in daily life. In the manufacturing process of solar module, the degree of cross-linking of ethylene vinyl acetate (EVA) sheet, is a key factor that affects the efficiency and long-term life of solar module. In this study, we used a chemical method to measure the degree of cross-linking of EVA sheets, and then constructed a monotone B-spline regression model to describe the relationship between lamination time and the degree of cross-linking of EVA sheets. For given the specification limits of the degree of cross-linking, we could estimate the optimal lamination time by the B-spline regression model. Finally, we considered the situation of model mis-specification. Then, lamination test data with second-degree curve relationship were simulated, and the effects of model mis-specification were addressed.
論文目次 1 緒論 1
1.1 前言 1
1.2 文獻探討 6
1.2.1 交聯度的量測 6
1.2.2 B樣條 7
1.2.3 最小極值分配 11
1.3 研究動機 13
1.4 研究架構 17
2 最佳層壓試驗 18
2.1 B樣條迴歸模型 18
2.2 最佳層壓時間 21
3 層壓試驗分析 24
3.1 實例資料分析 24
3.2 誤判分析 26
4 結論與後續研究 29
參考文獻 31
參考文獻 [1]Cox, M. G. (1972). “The numerical evaluation of B-splines,” IMA Journal of Applied Mathematics, vol. 10, 134-149.
[2]de Boor, C. (1972). “On calculating with B-splines,” Journal of Approximation Theory, vol. 6, 50-62.
[3]de Boor, C. (1978). A practical guide to splines, Springer-Verlag, New York.
[4]Gordon, W. J., Riesenfeld, R. F. (1974). “B-spline curves and surfaces,” in Computer Aided Geometric Design (Eds. Barnhill, R. E., Riesenfeld, R. F.), New York: Academic Press.
[5]Gumbel, E. J. (1958). Statistics of Extremes, New York: Columbia University Press.
[6]Hirschl, Ch., Biebl-Rydlo, M., DeBiasio, M., Mühleisen, W., Neumaier, L., Scherf, W., Oreski, G., Eder, G., Chernev, B., Schwab, W., Kraft, M., (2013). “Determining the degree of crosslinking of ethylene vinyl acetate photovoltaic module encapsulates a comparative study,” Solar Energy Materials and Solar Cells, vol. 116, 203-218.
[7]Jiang, S., Wang, K., Zhang, H., Ding, Y., Yu, Q. (2015). “Encapsulation of PV modules using ethylene vinyl acetate copolymer as the encapsulant,” Macromolecular Reaction Engineering, vol. 9, 522-529.
[8]Jonai, S., Hara, K., Tsutsui, Y., Nakahama, H., Masuda, A. (2015). “Relationship between cross-linking conditions of ethylene vinyl acetate and potential induced degradation for crystalline silicon photovoltaic modules,” Japanese Journal of Applied Physics, vol. 54, 8S1.
[9]Leitenstorfer, F., Tutz, G. (2007). “Generalized monotonic regression based on B-splines with an application to air pollution data,” Biostatistics, vol. 8, 654-673.
[10]Meeker, W. Q., Escobar, L. A. (1998). Statistical Methods for Reliability Data, New York: John Wiley & Sons.
[11]Ng, H. K. T., Balakrishnan, N., Chan, P. S. (2006). “Optimal sample size allocation for tests with multiple levels of stress with extreme value regression,” Naval Research Logistics, vol. 54, 237-249.
[12]Tsai, C. C. (2019). “Optimal lamination test of ethylene vinyl acetate sheets for solar modules,” Journal of Applied Statistics, vol. 46, 2388-2408.
[13]Xie, Y., King, C.B., Hong, Y., Yang, Q. (2018). “Semi-parametric models for accelerated destructive degradation test data analysis,” Technometrics, vol. 60, 222-234.
[14]莊惟安 (2013). “EVA交聯度最佳試驗設計”,淡江大學數學研究所碩士論文。
[15]林暐軒 (2015). “在層壓溫度與時間效應及服從最小極值分配下EVA膜交聯度之最佳試驗設計”,淡江大學數學研究所碩士論文。
論文使用權限
  • 同意紙本無償授權給館內讀者為學術之目的重製使用,於2020-07-30公開。
  • 同意授權瀏覽/列印電子全文服務,於2020-07-30起公開。


  • 若您有任何疑問,請與我們聯絡!
    圖書館: 請來電 (02)2621-5656 轉 2486 或 來信