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研究生:陳亮宇
研究生(外文):Liang-Yu Chen
論文名稱:質子交換膜燃料電池流道最佳化設計
論文名稱(外文):An Inverse Design Problem in Determining the Optimal Shape for Fuel Channels in PEMFC
指導教授:黃正弘黃正弘引用關係
指導教授(外文):Cheng-Hung Huang
學位類別:碩士
校院名稱:國立成功大學
系所名稱:系統及船舶機電工程學系碩博士班
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:136
中文關鍵詞:電池性能雲形線流道形狀最佳化設計質子交換膜燃料電池拉凡格式法
外文關鍵詞:optimal designinverse design problemproton exchange membrane fuel cellshape of gas channelB-splinecell performanceLevenberg-Marquardt Method
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本論文旨在利用計算流體力學軟體CFD-RC建立三維質子交換膜燃料電池數值模型,與反算最佳化程式的結合,針對直通式反應氣體流道,作一最佳流道形狀設計。論文中流道的流形狀參數,主要是透過雲形線(B-Spline)此副程式作修正,並利用反算方法中的拉凡格式法來做最佳化設計,藉由設計不同的電流密度,得到不同的流道形狀。
吾人分別針對(i)Case A:在全長60%、(ii)Case B:全長70%及(iii)Case C:全長80%處開始作流道最佳化設計,且操作電壓則分別對電壓V=0.7及電壓V=0.4 兩部份作討論。設計之目標為希望尾端設計流道正上方之電流密度增加為原始的20個百分比與30個百分比。
根據吾人觀察,設計出來的流道,並非一個規則的形狀,而是呈現一個往下縮後又往上長的曲線。因為在作最佳化設計時,一開始修正過大,超過了設計目標,程式為了要滿足收斂條件而自我修正,因此有此一形狀產生。
最後探討各個流道的性能比較,如電流密度、液態水問題及壓力分佈等。結果發現,經過設計後的流道,其電流密度確實有增加,液態水的堆積問題也有減少,的確有提升其性能。
In this thesis, the CFD (Computational Fluid Dynamics) software that is named CFD-RC is used to set up a three-dimensional numerical model of the straight proton exchange membrane fuel cell (PEMFC), and combine with the Levenberg-Marquardt Method which is one of the technique of Inverse Design Problem for optimizing the shape of gas channel at cathode side in the PEMFC. About the geometry of the redesign gas channel is generated by using B-spline curve method which enab les the shape of the fuel channel to be completely specified using only a small number of control poi nts, the technique of parameter estimation for inverse design problem is thus chosen.
In the studying, I separate three difference example :(i) Case A: In total length 60%, (ii) Case B: Total length 70% and (iii) Case C: 80% of total length to do optimal design, the operation voltage is V=0.7 and V=0.4, respectively. And I hope the program can reach the goal the current densities located on carbon plate near the outlet of channel at cathode are gained 20% or 30%.
According to observe, the channel shape is not regular, it is curve which has frank style turning downward and upward. Because of while doing the optimal design, it is too much to modify at the beginning, and having exceeded the design object. In order to be satisfied the object function, the program is revised by itself, so getting this special shape.
Finally, I discuss and compare flow performance, electric current density, liquid water issue and pressure distribute etc. Results show that by utilizing the redesigned optimal gas channel, the total current of PEMFC can be increased, and at the same time the phenomena for saturated water accumulation in the channel can be greatly reduced.
摘 要 I
ABSTRACT II
誌 謝 III
目 錄 IV
表 目 錄 VI
圖 目 錄 VII
符號說明 XII
第一章 序論 1
1-1 研究背景與動機 1
1-2文獻回顧 3
第二章 理論分析 11
2-1 基本假設 11
2.2統御方程式 13
2-2.1 連續、動量及濃度方程式 13
2-2.2氫離子反應 15
2-2.3電子傳導 17
2-3 邊界條件 19
第三章 數值模擬 25
3-1 直接解問題(THE DIRECT PROBLEM) 25
3-2 最佳化設計問題(THE OPTIMAL DESIGN PROBLEM) 27
3-2.1 雲形線設計 27
3-2.2 拉凡格式法之極小化過程(Levenberg-Marguardt Method for Minimization) 28
第四章 問題與討論 35
4-1 不同設計長度 36
4-1.1 流道形狀 36
4-1.2 液態水效應與氧氣濃度 38
4-1.3 電流密度 41
4-1.4 壓力降變化 43
4-2 0.4V之設計流道與0.7V之設計流道比較 44
4-2.1 流道形狀 44
4-2.2 電流密度分佈 44
4-2.3 液態水與氧氣濃度分佈 45
4-3 增加設計電流密度 48
第五章 結論 114
參考文獻 117
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Vol.115,pp.66-80
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[16] CFD-RC, user manual, ESI-CFD Inc.2005
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