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线性差分双极性电池堆电池数学模型及其求解
引用本文:杨敏之. 线性差分双极性电池堆电池数学模型及其求解[J]. 上海交通大学学报, 1990, 24(2): 8-15
作者姓名:杨敏之
作者单位:上海交通大学应用数学系
摘    要:本文给出双极性电池堆电池数学模型.利用在模拟电流回路中的电流平衡和电势平衡建立常系数线性差分方程组,及其求解电池堆泄漏电流等,并对计算结果进行分析和讨论,调整各参数使电池堆达到最佳状态.采用本文的差分方程组法比Katz 和Szpak 等的矩阵法简单方便,并且更有效.

关 键 词:数学模型 电池堆 双极性电池堆 电池结构

A Mathematical Model of Linear Difference in a Bipolar Battery Stack and Its Solution
Yang Minzhi. A Mathematical Model of Linear Difference in a Bipolar Battery Stack and Its Solution[J]. Journal of Shanghai Jiaotong University, 1990, 24(2): 8-15
Authors:Yang Minzhi
Affiliation:Yang Minzhi
Abstract:A mathematical model for bipolar battery stack is presented.Thismodel applies current balance and potential balance in an electric circuit analogto find a set of linear differnce equations with constant coefficients.The setof equations may be solued by the calculus of difference equations.The leakagecurrent and other phenomena in the solution of difference equations are ana-lysed and discussed.The parameters are corrected to cause the bipolar batterystack to reach a state of optimal design.The method of solving the set ofdifference equations is simpler,more convenient and more effective than Katzand Szpak's matrix method.
Keywords:linear difference equation  difference operator  balance equation  boundary condition  characteristic equation
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