基于忆阻器的锂离子电池RC模型混沌特性  

Chaotic characteristic of RC model for Li-ion battery based on memristor

作　　者：徐东辉 XU Dong-hui(Department of Mathematics and Computer Science,Nanchang Normal University,Nanchang,Jiangxi 330032,China;School of Automotive and Mechanical Engineering,Changsha University of Science and Technology,Changsha,Hunan 410076,China)

机构地区：[1]南昌师范学院数学与计算机科学系,江西南昌330032 [2]长沙理工大学汽车与机械工程学院,湖南长沙410076

出　　处：《电池》2021年第5期465-469,共5页Battery Bimonthly

基　　金：国家自然科学基金项目(51176014);江西省科技厅科技项目(20202BBEL53019,20192BBHL80002);江西省教育厅科学技术研究项目(GJJ202609);江西省教育厅教育规划项目(20YB248)。

摘　　要：以车用锂离子电池为研究对象,建立一阶RC等效电路模型,并以荷控忆阻器、电感及电阻组成的混联电路作为负载,建立动力学数学模型。分析动力学数学模型随等效电路中欧姆内阻(R_(0))变化的动力学特性,包括时频特征分布、相轨迹图、李雅普诺夫指数图及庞加莱映射图等。当R_(0)∈(0.125 mΩ,0.250 mΩ)时,系统处于双涡卷混沌状态;R_(0)∈(0.250 mΩ,0.300 mΩ)时处于单涡卷混沌状态;R_(0)∈(0.300 mΩ,1.000 mΩ)时处于周期轨道运行状态。随着R_(0)的增加,系统通常经混沌进入倍周期分岔序列,且R_(0)越小,混沌现象越明显。The first-order RC equivalent circuit model of the vehicle Li-ion battery was established,the dynamics mathematical model was established by using the hybrid circuit composed of the load-controlled memristor,inductor and resistor as the load.The dynamic characteristics of the mathematical model changing with the ohmic internal resistance(R_(0))of the equivalent circuit were analyzed,including time-frequency characteristic distribution,phase trajectory,Lyapunov exponential and Poincarémapping diagram.When R_(0)∈(0.125 mΩ,0.250 mΩ),the system was in a double-scroll chaotic state;when R_(0)∈(0.250 mΩ,0.300 mΩ),was in a single-scroll chaotic state;when R_(0)∈(0.300 mΩ,1.000 mΩ),was in a state of periodic orbit.With the increasing of R_(0),the system usually entered into the period-doubling bifurcation chaos sequence,the smaller R_(0) was,the more obvious chaotic phenomenon was.

关 键 词：锂离子电池 等效电路 忆阻器 混沌动力学 特性 

分 类 号：TM912.9[电气工程—电力电子与电力传动]