飞轮电池转子系统建模及稳定性分析  

Dynamic Modeling and Stability Analysis of Flywheel Battery Rotor System

作　　者：刘晋霞 臧丽伟 刘宗锋 LIU Jin-xia;ZANG Li-wei;LIU Zong-feng(College of Transportation,Shandong University of Science and Technology,Shandong Qingdao 266590,China)

机构地区：[1]山东科技大学交通学院,山东青岛266590

出　　处：《机械设计与制造》2023年第2期76-80,85,共6页Machinery Design & Manufacture

基　　金：山东省重点研发计划(公益类科技攻关)—复杂环境下车载飞轮电池的振动抑制关键技术研究(2019GGX103024)。

摘　　要：以立式飞轮电池为研究对象,应用集中质量法将其离散化为弹性轴承-偏置转子模型,建立起具有陀螺效应、弹性轴承、内部阻尼和刚度以及PID控制下的八自由度转子-轴承系统的数学模型,采用拉格朗日法推导了转子-轴承系统涡动微分方程。根据微分方程计算特征方程的特征值,利用最大特征值法判断系统随角速度变化的稳定性。借助MATLAB通过时域波形图、相图、Poincare图、幅频特性图研究转子在不同角速度下的振动特性,进一步验证了最大特征值原理的正确性。With the vertical flywheel battery as the research object,the concentrated mass method was used to discretize it into an elastic bearing-offset rotor model.The mathematical model of 8-DOF rotor-bearing system with gyro effect,elastic bearing,internal damping and stiffness as well as PID control was established,and the whirl differential equation of the rotor-bearing system was derived by Lagrange method.The eigenvalue of the characteristic equation that obtained from the differential equation was calculated,and the stability of the system with the change of angular velocity was judged by the maximum eigenvalue method.With the help of MATLAB,the vibration characteristics of the rotor at different angular velocities were studied by time-domain waveform,phase diagram,Poincare diagram and amplitual-frequency characteristic diagram,which further verifies the correctness of the maximum eigenvalue principle.

关 键 词：飞轮电池 转子-轴承系统 稳定性 振动 涡动 特征方程 

分 类 号：TH16[机械工程—机械制造及自动化] TB122[理学—工程力学]