本論文旨在探討不同操作條件對鎳錳鈷三元鋰離子電池(Li(NixMnyCoz), NMC)健康狀態(State of Health, SOH)的影響。將實驗電池以不同條件，如不同電量狀態(State of Charge, SOC)操作區間與不同放電深度(Depth of Discharge, DOD)，進行大量的充放電循環實驗，過程中記錄實驗電池的電池健康狀態衰減的情形。將所記錄的數據資料分類並正規化後，利用有理函數法，進行迴歸得到SOH與各項影響因素的估測方程式。最後，以各種老化資料組合執行數學模型估測有效性的驗證，期望可在電池正常使用期間即可進行SOH估測，得知預期電池壽命。
從靜置實驗可知，電池充電後靜置30分鐘於300全充放週期後，SOH仍有99 %；比起無靜置時間的電池之SOH高出80 %，此舉能延緩電池SOH的衰減。從蒐集的實驗數據資料可知，電池運轉於低電量0~30 %區間於600個等效全充放週期(Equivalent full charging/discharging cycles)其SOH仍有99 %；對比運轉於高電量70~100 %區間之SOH高出16 %。0~60 %區間於400個等效全充放週期其SOH仍有95 %；比起運轉於40~100 %區間之SOH高出10 %。透過前兩種不同DOD與區間比較得知，DOD較小或使用區間低的情況都能延緩電池SOH衰減，且使用區間對於電池的SOH影響較大。
數學建模方面，於多種組合資料之迴歸結果，選取電池運轉在高電量區間資料投入訓練之判定係數(Coefficient of determination, R2)最高可達0.85、均方根誤差(Root mean square error, RMSE)為2.08、平均絕對誤差(Mean absolute error, MAE)為1.46。

This dissertation aims to investigate the capacity degradation of nickel-manganese-cobalt (Li(NixMnyCoz), NMC) ternary lithium-ion batteries under different operation conditions. A great number of cycles charging and discharging experiments are performed on the experimental batteries under different conditions, such as different state of charge (SOC) ranges and different depth of discharge (DOD). And the declines of SOH are recorded during the experiments periodically. The recorded data are sorted and normalized, and then the rational function regression is applied to obtain the SOH estimation equation upon different factors. Afterwards, various aging data are composed to carry out effective validations for the mathematic model. It is anticipated that the SOH expectancy can be estimated during normal operation stage of lithium-ion batteries.
From resting experiments, after 300 full charging/discharging cycles, the battery was rested for 30 minutes after charging test with SOH 99 % is 80 % higher than that without resting. The decline of SOH becomes milder by adding resting time after charging process. From the accumulated experimental data, the battery operating in the low charge utilization range 0 ~30 % after 600 equivalent full charging/discharging cycles with SOH 99 % is 16 % higher than that in the high charge utilization range 70 ~100 %. Similarly, the battery operating in 0 ~60 % after 400 equivalent full charging/discharging cycles with SOH 95 % is 10 % higher than that in the utilization range 40 ~100 %. Through previous two cases, the SOH decline with less DOD is slower than the higher DOD case, and the effect of operating range for SOH decline is more significant. Therefore, the result shows that if the battery is operated with less DOD in the lower charge utilization range, the battery SOH service life can be effectively prolonged.
For the mathematical modeling, from regression results of various combination data, the battery operating in the high battery range is selected for training. The coefficient of determination (R2) was 0.85, the root mean square error (RMSE)is 2.08, and the mean absolute error (MAE) is 1.46.

論文審定書i
致謝ii
中文摘要iii
Abstractiv
目錄v
圖表目錄vi
第一章緒論1
1-1 背景與動機1
1-2 論文大綱4
第二章鋰離子電池與數值方法介紹5
2-1 鋰離子電池介紹5
2-2 充/放電方法7
2-3 電池電量與健康狀態估測9
2-4 電池電量平衡15
2-5 曲線近似的數值方法19
第三章實驗過程22
3-1 電池老化平台設置22
3-2 靜置時間24
3-3 不同使用電量與運轉區間26
3-4 模型建立流程28
第四章鋰離子老化實驗數據迴歸分析與驗證30
4-1 實驗結果與分析30
4-2 模型建立模擬分析32
第五章結論與未來展望48
5-1 結論48
5-2 未來展望49
參考文獻50

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