鋰離子電池放電的二次高斯模型

A Quadratic Gaussian Model forSimulating the Discharge Behavior of a Lithium-ion Battery

楊健杰(Jian-Jie Yang) ； 翁志祁(Che-Chi Weng)

《華岡工程學報》 29期 (2012/06) Pp. 159-164

https://doi.org/10.29987/CCUHKJE.201206.0025

摘要

本研究在探討鋰離子電池的放電行為，並以放電電壓與放電時間的關係來表達。此模型是以一個二次多項式和一個二次高斯函數的組合，來模擬鋰離子電池的放電過程。二次多項式是用來模擬放電前期的行為，而二次高斯函數則是用來修正放電末段二次多項式與實際放電之間的誤差。在從兩個不同廠商製造的電池所取得的放電資料顯示，兩個函數組合而成的模型與實際放電時所觀察到的資料比較，誤差甚小；除了在放電初期的兩分鐘最多有1%左右的誤差外，其餘的時間，誤差均小於0.2%，可見此研究能準確的描述鋰離子電池放電過程，並提供一個簡潔有效的模型，以預測放電過程中任一時間的放電電壓。未來我們將持續研究在不同溫度、不同負載、不同製造廠商的電池、以及不同組態條件下的通用模型，讓此模型能被更廣泛的應用。

關鍵字

鋰離子電池 ； 放電電壓 ； 放電時間 ； 放電模型 ； 二次多項式 ； 二次高斯函數

並列摘要

In this research, the discharge behavior of lithium-ion batteries is studied, and is expressed by the relationship between discharge voltage and discharge time. This model uses a quadratic polynomial and a secondary Gaussian function to describe the discharge process of Lithium-ion batteries. The quadratic polynomial is used to describe the earlier part of discharge process and the secondary Gaussian function is used to compensate the differences between the polynomial and the actual observations. In compare with the observed discharge data from two different battery makers and the combination of this two function models show that the differences are minimal. Except for the first two minutes of discharge process that has around 1% difference at most, the differences for the rest of discharge process are well within 0.2%. It shows that this model provides an accurate, yet concise, way of describing the battery discharge behavior and may be used to predict the voltage any time during discharge process effectively. In the future, different operating temperatures, different discharge loads, cells from different vendors, and pack with different configurations will be studied, to make our model more robust and be able to be applied to various applications.

並列關鍵字

Lithium-ion battery ； discharge voltage ； discharge behavior ； discharge time ； quadratic polynomial ； secondary Gaussian function