Dynamics Analysis and Chaos Control of Multi-nonlinear Coupling System for PMSM-2R Mechanism

Cao Shulei Xie Jin Ding Weigao

doi:10.16578/j.issn.1004.2539.2019.10.021

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Dynamics Analysis and Chaos Control of Multi-nonlinear Coupling System for PMSM-2R Mechanism

更新时间：2022-10-25

- Dynamics Analysis and Chaos Control of Multi-nonlinear Coupling System for PMSM-2R Mechanism
- Journal of Mechanical Transmission Issue 10, Pages: 113-117(2019)
- 作者机构：
  
  1.西南交通大学机械工程学院，四川成都 610031
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2019.10.021
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曹书磊,谢进,丁维高.永磁同步电机–2R机构多非线性耦合系统动力学分析及混沌控制[J].机械传动,XXXX,XX(XX):113-117.

Cao Shulei Xie Jin Ding Weigao.Dynamics Analysis and Chaos Control of Multi-nonlinear Coupling System for PMSM-2R Mechanism[J].Journal of Mechanical Transmission,XXXX,XX(XX):113-117.
曹书磊,谢进,丁维高.永磁同步电机–2R机构多非线性耦合系统动力学分析及混沌控制[J].机械传动,XXXX,XX(XX):113-117. DOI： 10.16578/j.issn.1004.2539.2019.10.021.

Cao Shulei Xie Jin Ding Weigao.Dynamics Analysis and Chaos Control of Multi-nonlinear Coupling System for PMSM-2R Mechanism[J].Journal of Mechanical Transmission,XXXX,XX(XX):113-117. DOI： 10.16578/j.issn.1004.2539.2019.10.021.

摘要

以研究多能域耦合系统的现代建模方法之一——键合图为基础，建立了永磁同步电机（Permanent Magnet Synchronous Motor，PMSM）-2R机构多非线性耦合系统数学模型，并采用龙格-库塔法对其进行求解。在该耦合系统中，通过双参数混沌边缘法、分叉图以及最大李雅普诺夫指数，分析了多非线性系统之间的耦合作用对系统动力学特性的影响。当各子系统均处于混沌运动状态时，用通过主动控制方法调整耦合强度对其混沌运动进行了控制。研究发现，当耦合子系统都处于混沌运动状态时，由于子系统之间的耦合作用，系统动力学特性也随着耦合作用强度的改变而改变，耦合强度增大，系统混沌吸引子消失，逐渐从混沌运动状态变成周期运动状态。

Abstract

Based on bond graph, a modern modeling method for multi-energy domain coupling system, a mathematical model of multi-nonlinear coupling system of PMSM-2R mechanism is established and solved by Runge-Kutta method. In the coupled system, the effects of the coupling between multi-nonlinear systems on the dynamic characteristics of the system are analyzed by the two-parameter chaotic edge method, bifurcation diagram and the maximum Lyapunov exponent. When each subsystem is in the state of chaotic motion, he active control method is used to control the chaotic motion by adjusting the coupling strength. It is found that when the coupled subsystems are in chaotic motion state, the dynamic characteristics of the system change with the change of coupling strength, and the chaotic attractor disappears with the increase of coupling strength, gradually changing from chaotic motion state to periodic motion state.

关键词

永磁同步电机-2R机构键合图多非线性耦合强度混沌控制

Keywords

PMSM-2R mechanismBond graphMulti-nonlinearCoupling strengthChaos control

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