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系統識別號 U0002-1507201422212200
中文論文名稱 EVA交聯度最佳試驗設計
英文論文名稱 Optimal Design for Crosslinking Degree of EVA
校院名稱 淡江大學
系所名稱(中) 數學學系碩士班
系所名稱(英) Department of Mathematics
學年度 102
學期 2
出版年 103
研究生中文姓名 莊惟安
研究生英文姓名 Wei-An Chung
學號 601190225
學位類別 碩士
語文別 中文
口試日期 2014-06-24
論文頁數 44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 交聯度  最小極值分配  最佳層壓試驗 
英文關鍵字 crosslinking degree of EVA  extreme value distribution  optimal test plan 
學科別分類 學科別自然科學數學
中文摘要 隨著能源短缺,太陽能成為主要的替代能源之一,而影響太陽能系統的發電效能與壽命跟其結構成份EVA膜之交聯程度有極大相關。本研究對EVA膜分別進行太陽能模組最佳層壓試驗,再使用化學法以及DSC法破壞量測收集資料,以進一步探討問題。
本研究首先建構出一迴歸模型來描述交聯度與層壓時間之間的關係,由模型可推導出EVA膜的最佳層壓時間,接下來推導出最佳層壓時間估計量之漸近變異數,來執行一最佳層壓設計,以更準確推估層壓時間。最後,本研究進行模擬分析來探討最佳層壓設計,由模擬分析結果可知,模擬結果與理論是相近的。
英文摘要 With the shortage of energy, solar power has become the most appreciative choice in the world. The performance of the solar modules has great relevant with the degree of crosslinking for EVA sheet. Motivated the three lamination tests on solar modules, the study proposed a simple regression model to describe the relationship between the degree of crosslinking and laminated time. Then, given the specification limits of the degree of crosslinking, the optimal laminated time can be derived. Next, by estimating the optimal lamination time accurately, the optimal laminated design can be obtained. Finally, a simulation study was conducted, and the results showed that the simulated values are quite close to the asymptotic values.
論文目次 1緒論.......................1
1.1前言.......................1
1.2文獻探討.......................5
1.2.1破壞試驗.......................5
1.2.2簡單線性迴歸模型 .......................6
1.2.3最小極值分配.......................6
1.2.4最佳化試驗配置.......................8
1.2.5太陽能EVA膜.......................8
2問題描述.......................15
3最佳層壓試驗.......................22
3.1最佳層壓時間.......................22
3.2之推導....................... 23
3.3最佳樣本比例配置.......................25
4EVA膜層壓試驗分析.......................29
4.1實例資料分析.......................29
4.2最佳比例配置.......................31
4.3模擬分析.......................33
5結論與後續研究.......................37
附錄.......................39
參考文獻.......................43
參考文獻 參考文獻
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[8] Meeker, W. Q. and Escobar, L. A. (1998). Statistical Methods for Reliability Data. New York: John Wiley & Sons.

[9] Nelson, W. (1990). Accelerated Testing: Statistical Models, Test Plans, and Data Analysis. New York: John Wiley & Sons.

[10] Ng, H. K. T., Balakrishnan, N. and 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

[11]Peng, C. Y. (2012). “A note on optimal allocations for the second elementary symmetric function with applications for optimal reliability design,” Naval Research Logistics, vol. 59, 278-284.

[12]Shi, Y., Meeker, W. Q., and Escobar, L. A. (2009). “Accelerated destructive degradation test planning,” Technometrics, vol. 51, 1-13.

[13]Shi, Y. and Meeker, W. Q. (2012). “Bayesian methods for accelerated destructive degradation test planning,” IEEE Transactions on Reliability, vol. 61, 245-253.

[14]Tsai, C. C., Tseng, S. T., Balakrishnan, N, and Lin, C. T. (2013). “Optimal design for accelerated destructive degradation test,” Quality
Technology and Quantitative Management, vol. 10, 263-276.

[15]Walter, A. S. and Samuel, S. W. (2005). Applied Linear Regression, Third Edition. New York: John Wiley & Sons.

[16]Stark, W. and Jaunich, M. (2011). “Investigation of ethylene/vinyl acetate copolymer (EVA) by thermal analysis DSC and DMA,” Polymer Testing, vol. 30, 236-242.

[17]林姿吟 (2013). “偏常態量測誤差模型下之加速破壞衰變試驗”,淡江大學數學研究所碩士論文。

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