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    Title: 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
    Other Titles: Optimal design for crosslinking degree of EVA on laminating temperature and time effects under smallest extreme value distribution
    Authors: 林暐軒;Lin, Wei-Hsuan
    Contributors: 淡江大學數學學系碩士班
    蔡志群;Tsai, Chih-Chun
    Keywords: EVA膜交聯度;最小極值分配;最佳層壓試驗;樣本配置;crosslinking degree of EVA;smallest extreme value distribution;optimal test plan;sample allocation
    Date: 2015
    Issue Date: 2016-01-22 14:52:32 (UTC+8)
    Abstract: 太陽能電池中之構造EVA膜其交聯度對其產品效能有極大的影響。本研究對EVA膜進行層壓試驗,再以化學法及DSC法量測其層壓後EVA膜之交聯度,並收集層壓後的交聯度資料。莊惟安 (2014) 建構出一迴歸模型來描述 EVA膜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。然而,影響EVA膜層壓後交聯度之因子,除了層壓時間外,還有層壓溫度等。本文探討了層壓時間與層壓溫度對EVA膜交聯度之關係,以進一步執行其最佳層壓試驗。
    首先,建構一最小極值分配迴歸模型來描述交聯度與層壓溫度及層壓時間之關係,並由此模型推導出層壓溫度與EVA膜最佳層壓時間之關係式。接下來,在給定一層壓溫度下,推導出在此層壓溫度下之最佳層壓時間估計量之漸近變異數,並執行一最佳層壓試驗,使可更準確的估計在給定一層壓溫度下之最佳層壓時間。再來,使用基因演算法求得其最佳樣本比例配置。最後,由模擬分析來探討此試驗設計,由模擬分析結果可知,模擬結果與大樣本理論是相近的,並以全域搜尋與基因演算法所得最佳樣本配置之結果進行比較,得知兩者之相對效率。
    With the development of solar power, the degree of crosslinking of EVA sheets has a great influence on the performance of solar module. In this study, lamination tests on EVA sheets are conducted first. And then we use chemical method and differential scanning calorimetry (DSC) method to measure the degree of crosslinking of EVA sheets. Then, a regression model with smallest extreme value distribution was proposed to describe the relationship between the degree of crosslinking of EVA sheets, lamination time, and lamination temperature. Next, we obtain the optimal laminated times with different lamination temperatures. Given fixed lamination temperature, the asymptotic variance of the optimal laminated time was used to perform the optimal design. And the optimal sample allocation was searched by genetic algorithm. Finally, a simulation study further shows that the simulated values are quite close to the asymptotic values when the sample sizes are large enough. And we compare optimal sample allocations based on global search, equal allocation and genetic algorithm by relative efficiency.
    Appears in Collections:[數學學系暨研究所] 學位論文

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