磁悬浮系统仿真及混沌特性研究  

Magnetic Levitation System Simulating and Its Chaos Research

作　　者：江东[1] 孔德善[1] 刘绪坤[1] 杨嘉祥[1] 王德玉[1] Jiang Dong Kong Deshan Liu Xukun Yang Jiaxiang Wang Deyu(College of Electrical ＆ Electronic Engineering, Harbin University of Science and Technology, Harbin 150080, China)

机构地区：[1]哈尔滨理工大学电气与电子工程学院,黑龙江哈尔滨150080

出　　处：《系统仿真学报》2017年第3期572-580,共9页Journal of System Simulation

基　　金：国家自然科学基金(51377037)

摘　　要：建立了磁悬浮系统的物理模型、数学模型和仿真模型。实测基础上推导了磁悬浮球所受磁力与电磁铁电流及磁悬浮球与螺线管距离的变化关系,得出了磁悬浮球的动力学方程。设计了磁悬浮系统的Simulink仿真模型,对无振动、外加振动及混沌状态进行了仿真。研究了稳定、准周期和混沌状态的相轨迹。实测了稳定波形、外加振动和混沌波形。实验表明,磁悬浮系统稳定,混沌状态的运动规律与仿真结果相同。利用建立的模型了解系统参数对磁悬浮系统稳定性影响,进而获得系统最佳参数,了解磁悬浮球的混沌特性及进一步完成系统的数据处理。The physical model, mathematical model and simulation model of the magnetic levitation system were set up. The function among magnetic force, electromagnet current and distance was deduced after the measuring. The dynamic equation of magnetic levitation ball was derived. The simulation model of the magnetic levitation ball system was set up. The simulation experiments for no vibration and external vibration and chaos state of the system were conducted. The phase trajectories of stable, quasi-periodic and chaotic states were researched. The waveforms of no vibration and external vibration and chaos state were measured. The tests show that the measured waveforms are same as simulation waveforms. Using the established model, the stability of the magnetic levitation ball system impacted by various system parameters and acquire optimal parameters of the system could be understood. The chaotic characteristics of the magnetic levitation system could be understood further completing the data processing of the system.

关 键 词：磁悬浮 初始状态 动力学方程 仿真模型 

分 类 号：TM571.6[电气工程—电器]