臺灣博碩士論文加值系統

鋰離子電池因為具有高能量密度、高電位、放電平台穩定、工作溫度區間大、高可逆性、低自放電率等等優勢，近年來已廣泛應用於小型電子產品。隨著材料以及製程的發展，電能效率以及操作電壓的提升，高功率的鋰電池應用於電動車的環境也越來越普遍。
本研究主要從基本原理出發，推導非線性的擴散行為，以此修正Fick’s Law。而此鋰離子數學模擬系統以電化學為基礎，透過熱力學、輸送現象、歐姆定律、電極動力學等等理論的輔助之下，轉換為複數的數學關係式，接著利用數值方法來收斂尋找實數解、以程式軟體進行擬合找出參數。最後利用找出的參數進行兩組電池(微米矽/奈米矽)在不同電流環境下對不同參數的反應程度之研究。
模擬結果顯示在不同電流環境之下，比起線性擴散，非線性擴散行為能更正確的描述電池放電行為。在低電流環境以及接近放電終點時線性擴散的擬合結果與非線性擴散的擬合結果相近。電池在不同電流環境下對參數反應的趨勢大致相同、程度各異。在趨勢方面，減小電極材料顆粒粒徑、增加電極材料厚度、增加固相擴散係數、降低孔隙度都可以提升單位體積的能量密度。

中文摘要 1
英文摘要 2
目錄 3
圖目錄 5
表目錄 8
第一章 緒論 9
1.1 鋰電池介紹 9
1.2 鋰電池材料選擇因素 10
1.3 鋰電池電化學系統 12
1.4 研究動機 14
第二章 文獻回顧 15
2.1 鋰電池研究方向 15
2.2 鋰電池數學模型發展 17
2.3 鋰電池電化學工程數學模型分析 20
2.4 當前重要議題與研究方向 29
第三章 理論分析 32
3.1 濃溶液理論 32
3.2 多孔性電極理論 36
3.3 固態系統擴散現象 38
3.4 固液介面的電極動力學 39
3.5 開環電位 42
第四章 數值方法與模擬 43
4.1 有限元素分析 43
4.2 牛頓法求解非線性 48
4.3 求解流程 49
4.4 電池規格與參數 53
第五章 結果與討論 55
5.1 實驗及模擬環境討論 55
5.2 線性擴散及非線性擴散模擬 56
5.3 非線性擴散模擬參數之合理性 59
5.4 參數變化對各電池組效能之影響 67
第六章 結論 84
符號說明 87
參考文獻 90

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