Title

鋰電池放電行為高斯-多項式的三角函數溫度模型

Translated Titles

Gaussian-Polynomial Temperature Model Using Trigonometric Functions for the Discharge Behavior of a Lithium-Ion Battery

DOI

10.29987/CCUHKJE.200806.0024

Authors

徐晟峻(Cheng-Chun Hsu);翁志祁(Che-Chi Weng)

Key Words

鋰電池 ; 可充電電池 ; 放電曲線 ; 三角函數 ; 電池放電行為 ; 高斯-多項式近似模型 ; 高斯-多項式溫度模型 ; Lithium-ion battery ; Rechargeable battery ; Trigonometric function ; Gaussian-Polynomial Approximation Model ; Gaussian-Polynomial Temperature model ; Battery discharge behavior

PublicationName

華岡工程學報

Volume or Term/Year and Month of Publication

22期(2008 / 06 / 01)

Page #

193 - 197

Content Language

繁體中文

Chinese Abstract

本研究在改善高斯多項式的近似模型,將其由固定溫度固定負載延伸為任意溫度固定負載的模型,此模型的溫度參數是利用三角函數來實現,是基於任意波形、任意函數,皆可由數個三角函數組合而成。此溫度模型可使原需記憶的參數筆數減少,由固定負載下五個不同的操作溫度所需的25個參數,減為20個參數,此模型更可預測固定負載下任意溫度的放電曲線。由本模型在電池放電的中、末期所預測出的電壓和實際電壓誤差都在0.1V以內,再從放電量所占總電容量的百分比來看,誤差則均小於4.2%。在放電初期雖然誤差不小,但使用者在乎的是,還剩多少電池容量可供使用,而非已使用了多少電量。所以,對於電池放電後段行為的瞭解,遠比放電前段的描述更為重要。我們提出的三角函數模型簡化了先前的多項式模型且可適用於不同的溫度。

English Abstract

In this research, we improve the Gaussian-Polynomial Model, which is originally operated at fix temperature and fix current load, to a fix current load under various temperatures. Parameters of our temperature model adapt with three trigonometric functions. It is because any waveform or function can be approximated by combining a few trigonometric functions. In our model, the number of parameters needed to fully describe the discharge behavior for operating at five different temperatures with a fix current load is reduced from the previous 25 to 20. The differences of voltage between predicted results and observations in the middle and later parts are within 0.1V. As to the percentage of discharge battery capacity concern, the difference is less than 4.2%. In addition, our model may also predict the discharge curve at a fix load current under any temperature. In the beginning of the discharge curve, our predictions have large differences compared to the observation. For most users, the important concern is how much the capacity remains to be used, rather than how much capacity they have used. Thus, the prediction of the later part of discharge curve is much more important than the part at the beginning. Our model proposed trigonometric function method which simplifies the previous model and is suitable for variable temperatures.

Topic Category 基礎與應用科學 > 化學
工程學 > 工程學總論
工程學 > 電機工程