基于分岔理论的永磁同步电机非确定参数混沌控制

微特电机 ›› 2021, Vol. 49 ›› Issue (2): 48-52.

基于分岔理论的永磁同步电机非确定参数混沌控制

李洋洋^1,2, 戴磊^1,2, 张懿^1,2, 魏海峰^1,2, 李垣江^1,2

1.江苏科技大学电子信息学院,镇江 212003;
2.江苏舾普泰克自动化科技有限公司,镇江 212003

收稿日期:2020-07-07 发布日期:2021-02-25
作者简介:李洋洋(1994—),女,硕士,研究方向为电机控制。
基金资助:
国家自然基金科学基金项目(51977101);江苏省省重点研发计划产业前瞻性与共性关键技术重点项目(BE2018007)

Chaos Control of Uncertain Parameters for Permanent Magnet Synchronous Motor Based on Bifurcation Theory

LI Yang-yang^1,2, DAI Lei^1,2, ZHANG Yi^1,2, WEI Hai-feng^1,2, LI Yuan-jiang^1,2

1. School of Electronics and Information, Jiangsu University of Science and Technology,Zhenjiang 212003, China;
2. Jiangsu Shiptek Automation Technology Co., Ltd., Zhenjiang 212003, China

Received:2020-07-07 Published:2021-02-25

摘要/Abstract

摘要： 主要研究永磁同步电机运行系统的分岔及混沌特性,将其数学模型进行无量纲化,得到简化后的混沌模型。经研究发现,系统在特定情况下存在着不稳定的分岔行为,确定外部输入,随着分岔参数的改变,系统平衡点的数目会发生变化。当分岔参数达到静态分岔点时,平衡点由一个变成两个;当分岔参数达到临界分岔点时,系统会产生连续的Hopf分岔现象,连续的Hopf分岔使得系统进入混沌状态。基于永磁同步电机参数不确定性,根据自适应控制理论,构建了一种自适应混沌控制器对参数不确定的永磁同步电机运行系统进行混沌控制。通过仿真验证该系统在加入控制器后会迅速到达稳定状态。

关键词: 永磁同步电机, 分岔与混沌, 参数不确定性, 自适应控制

Abstract: The bifurcation and chaos characteristics of the operating system of the permanent magnet synchronous motor were mainly studied. The mathematical model was dimensionless, and the simplified chaos model was obtained. Through research, it was found that the system had unstable bifurcation behavior under certain circumstances. Determine the external input, As the bifurcation parameters changed, the number of system equilibrium points would change. When the bifurcation parameter reached the static bifurcation point, the equilibrium point changed from one to two; when the bifurcation parameter reached the critical bifurcation point, the system would produce a continuous hopf bifurcation phenomenon, and the continuous Hopf bifurcation caused the system to enter a chaotic state. Based on the uncertainty of the parameters of permanent magnet synchronous motors and an adaptive control theory, an adaptive chaos controller was constructed to control the chaos of permanent magnet synchronous motors with uncertain parameters. The system would quickly reach a stable state after joining the controller through simulation verification, .

Key words: permanent magnet synchronous motor, bifurcation and chaos, parameter uncertainty, adaptive control

中图分类号:

TM351

李洋洋, 戴磊, 张懿, 魏海峰, 李垣江. 基于分岔理论的永磁同步电机非确定参数混沌控制[J]. 微特电机, 2021, 49(2): 48-52.

LI Yang-yang, DAI Lei, ZHANG Yi, WEI Hai-feng, LI Yuan-jiang. Chaos Control of Uncertain Parameters for Permanent Magnet Synchronous Motor Based on Bifurcation Theory[J]. Small & Special Electrical Machines, 2021, 49(2): 48-52.

参考文献

[1] IQBAL A,SINGH G H. Chaos control of permanent magnet synchronous motor using simple controllers[J].Transactions of the Institute of Measurement and Control, 2019, 41(8):2352-2364.
[2] 王碧轩.永磁同步电机的非线性动力学特性研究及其混沌控制[D].兰州:兰州交通大学, 2015.
[3] KONG X B, LIU X J. Efficient nonlinear MPC on permanent magnet synchronous motor[C]//第29届中国控制与决策会议论文集(4),IEEE, 2017:193-196.
[4] 孙黎霞,鲁胜.永磁同步电机混沌运动机理分析[J].电机与控制学报, 2019, 23(3):97-104.
[5] HU J, LIU L. Adaptive nonlinear feedback control of chaos in permanent-magnet synchronous motor sybstem with parametric uncertainty [C]// ARCHIVE Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, 2015, 229(12):2314-2323.
[6] LIU H, WU Y H. Nonlinear normal modes and primary resonance for permanent magnet synchronous motors with a nonlinear restoring force and an unbalanced magnetic pull[J]. Nonlinear Dynamics, 2019, 97(2):1197-1213.
[7] 张波,李忠,王宗源,等. 一类永磁同步电动机混沌模型与霍夫分叉[J].中国电机工程学报, 2001(9):14-18.
[8] 韩清振.混合动力传动系统复杂动力学行为及其稳定性分析[D].镇江:江苏大学, 2018.
[9] LIU F, XIANG C L, LIU H, et al. Nonlinear vibration of permanent magnet synchronous motors in electric vehicles influenced by static angle eccentricity[J]. Nonlinear Dynamics, 2017, 90(3):1851-1872.
[10] 曹娜,史文秀,朱春华.直驱永磁同步风力发电机动力学特性仿真分析[J].电机与控制应用, 2017, 44(1):104-109.
[11] YOUSRI D A, ALLAM D L, et al. Chaotic whale optimizer variants for parameters estimation of the chaotic behavior in permanent magnet synchronous motor[J]. Applied Soft Computing Journal, 2018.
[12] WANG J P, ZHOU W N. Chaos control of pulse-disturbed permanent magnet synchronous motor with uncertain parameters[J]. Transactions of the Institute of Measurement and Control, 2016, 38(7):876-883.
[13] 杨益飞,骆敏舟.永磁同步直线电机建模及混沌搜索优化设计[J].电机与控制应用,2017,44(9):34-38,43.
[14] OMAR A M, RUBEN T O. Adaptive neural network control of chaos in permanent magnet synchronous motor[J]. Intelligent Automation & Soft Computing, 2016, 22(3):499-507.
[15] 高俊山,宋歌,邓立为.具有未知参数的混沌系统的有限时间滑模同步控制[J].控制与决策,2017,32(1):149-156.
[16] 刘加勋,王佐勋,雷腾飞,等. 永磁同步电机有限时间混沌同步控制[J].微特电机,2019,47(8):45-47,53.
[17] 于金鹏,于海生,高军伟, 等.基于模糊逼近的永磁同步电机混沌控制[J].复杂系统与复杂性科学,2013,10(4):86-91.
[18] 李东,王时龙,张小洪, 等.参数不确定永磁同步电机混沌的模糊脉冲控制[J].物理学报,2009,58(5):2939-2948.
[19] 谢成荣,张仁愉,王仁明, 等.参数未知的永磁同步电机混沌系统模糊自适应同步控制[J].动力学与控制学报, 2017, 15(6):537-543.
[20] 谢东燊,杨俊华,熊锋俊, 等.永磁直线同步电机解耦自适应滑模混沌控制[J].计算机仿真,2019,36(5):263-268.