动力锂离子电池电路建模与仿真

Modeling and Simulation of Power Lithium Ion Battery Circuit

以锂离子电池为研究对象,分析了多种电池等效电路模型的优缺点,最终选取分数阶等效电路模型进行研究,但由于模型中涉及分数阶电路,不便于计算处理,从而提出对其进行降阶处理的方法,采用改进分数阶的电路模型来确定动力锂离子电池的传递函数,并且求解出这个分数阶电路模型的阶跃电流响应解析解.最后,对由R 1∥CPE 1,R 2∥CPE 2和Z w∞分数阶电路构成的电路模型进行降阶处理.时域仿真表明,在0.1~10.0s时间范围内,降阶模型近似解和分数阶模型的解析解非常逼近,电路一阶降阶模型相对误差低于10.0%,而其中的二阶降阶模型相对误差更是低于2.0%.给出的分数阶电路降阶模型不仅可以降低运算的复杂性,同时在精度上能满足工程应用控制的要求.

In this paper,the advantages and disadvantages of various equivalent circuit models of lithium ion battery are analyzed,and the fractional equivalent circuit model is selected.However,due to the fractional order circuit involved in the model,it is not easy to calculate and process.Therefore,the author proposes to reduce the order of the circuit and use the improved fractional circuit to describe the transfer function of the power lithium-ion battery,and gives the analytical solution of the step current response of the fractional circuit.Then,the circuit model composed of R1∥CPE 1,R2∥CPE2 and Z w∞fractional subcircuits is reduced.The time domain simulation shows that the approximate solution of the reduced order model and the analytic solution of the fractional order model are very close in the time range of 0.1~10.0 s,in which the relative error of the second order reduction model of Z w∞circuits is lower than that of the first order reduction model.The relative error is less than 10.0%.The reduced order model of fractional order circuit presented in this paper not only reduces the complexity of operation,but also meets the requirements of engineering application control.