鋰電池充電剩餘時間的三段式模型

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题名:	鋰電池充電剩餘時間的三段式模型 Tri-Section Model for Describing Remaining Charge Time of a Lithium-Ion Battery
作者:	趙奕昕翁志祁
贡献者:	華岡工程學報
关键词:	三段式模型充電剩餘時間二次多項式二次高斯函數二次自然指數函數 Tri-Section Model Remaining Charge Time second order polynomial second order Gaussian function second order Exponential function
日期:	2010-06
上传时间:	2014-10-31 11:14:42 (UTC+8)
摘要:	本研究是利用三個不同的次模型，來描述鋰離子電池充電時的三個階段，在不同的電壓時，所需的剩餘充電時間。這三段曲線各有不同的特性，第一段是充電初期，定電流充電會使電壓在短時間內急遽上升，一如電容充電的初期，相對於電壓的變量，剩餘充電時間只會緩慢減少，此段是由二次多項式來描述。第二段是充電中期，定電流充電只能使電壓中度上升，故所需充電時間也會中度的減少，此段乃由二次高斯函數來模擬。曲線的第三段是充電的末期，此時，由於充電電流快速下降，電壓只能緩步上升，所以剩餘充電時間會快速減少，故充電的末段乃由二次自然指數函數來描述。雖然我們研究的兩個樣本，是來自不同的製造商，但是意外的發現它們在分割三段模型的結合點的電壓，卻是相同，分別是11700mV與12455mV，這點提高了本模型對類似電池組的通用性。結合三段模型所得到的曲線，與原來的樣本做比較，我們發現模型與樣本非常相近：在相同充電電壓下，所需充電時間的最大誤差樣本一為1.36%、樣本二為2.64%；而平均誤差在樣本一、樣本二分別為0.39%、0.71%。在相同充電剩餘時間之下，充電電壓的最大誤差樣本一為16.15%、樣本二為2.80%。本模型的表現，對於使用者或電池組製造商，要預測還要多少時間可以完成充電，提供了一個準確且有效的模型。 This research uses three different sub-models to describe three sections of remaining charge time of a Lithium-ion battery under various voltages. Three sections of the charge curve each has its own characteristics. In the first section, at its initial charge period, with a constant charge current, like the charge of capacitor, the voltage rises rampantly. In comparison with the change of battery voltage, the charge remaining time drops slowly. This section is described by a second order polynomial. The second section is the middle stage of charging. Still with the constant charge current, the voltage is increased mildly. The charge remaining time also drops mildly. This section is simulated by a second order Gaussian. The last section of charging, with deceasing charge current, the voltage can only rise slowly. Therefore, the remaining time drop quickly. Although two sample data come from different manufacturers, surprisingly, the combine points for both samples are the same. They are 11700 mV and 12455mV. This feature greatly increases the versatility of our model to similar battery packs. After combing these three sub-models and comparing with the original data, we found that their curves are very close for both samples: with the same charge voltage, the maximum remaining charge time error is less than 1.36% for sample 1 and 2.64% for sample 2; and with the same remaining charge time, their maximum voltage error is less than 16.15% for sample 1 and 2.80% for sample 2. The average difference from sample 1 is 0.39% and from sample 2 is 0.71%. The performance of our model provides users or battery pack manufacturers an accurate and effective way to predict the remaining charge time under various voltages.
關聯:	華岡工程學報； 26 期 (2010 / 06 / 01) ， P73 - 81
显示于类别:	[工學院] 學報-華岡工程學報

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