【摘要】 采用改进Randle分形电路描述动力锂离子电池的传递函数,并给出该分形电路阶跃电流响应解析解.随后,对由R₁//CPE₁和Z_W∞分形子电路构成的电路模型进行降阶处理.时域仿真表明,在0.1 10.0 s时间范围内,降阶模型近似解和分形模型的解析解非常逼近,其中Z_W∞电路四阶降阶模型相对误差低于3.0%,而R1//CPE1分形系数α>0.8时,相对误差低于12.0%.给出的分形电路降阶模型不仅降低运算的复杂性,而且精度满足控制要求.更多还原

【Abstract】 An improved Randle fractional circuit is proposed to describe the transfer function of a lithiumion battery,and the analytic solution of the step current response is addressed. Then,the reduced order processing is conducted on circuit model containing fractional element R₁//CPE₁ and ZW∞. Simulating results in time domain show that the analyzable solution is very close to approximate solution for the current step response of both Z_W∞ and R₁//CPE₁. In the time range of 0. 1 10. 0 s,the relative errors are less than 3.0%,and less than 12. 0% for R₁//CPE₁ with α > 0. 8. The reduced order model obtained in present work not only reduces the complexity of operation,but also roughly meets with the requirements of control precision.更多还原