永磁同步电机电流环时变时滞相关稳定性分析  

Time-Varying Delays Related Stability Analysis of Permanent Magnet Synchronous Motor Current Loop

作　　者：李响[1,2] 张兴 李旭[1,2] 刘海波 王永青[1,2] LI Xiang;ZHANG Xing;LI Xu;LIU Haibo;WANG Yongqing(State Key Laboratory of High-Performance Precision Manufacturing,Dalian University of Technology,Dalian 116024,China;School of Mechanical Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学高性能精密制造全国重点实验室,大连116024 [2]大连理工大学机械工程学院,大连116024

出　　处：《组合机床与自动化加工技术》2024年第12期76-80,共5页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：辽宁省自然科学基金资助计划面上项目(2022-MS-133)。

摘　　要：为探究时变时滞对永磁同步电机电流环控制系统的影响,建立了具有时变时滞的永磁同步电机电流环闭环控制系统模型,利用时滞分割法构造了Lyapunov-Krasovskii泛函,获得了保证系统内部渐进稳定的时变时滞相关稳定性判据,建立了控制器增益、时变时滞上界与闭环系统稳定性之间的关系,为实际工程应用中控制器参数设计提供了理论依据。仿真结果表明所提出的方法能够保证系统内部渐进稳定,且相较于经典方法具有更小的保守性,可为控制系统时变时滞相关稳定性分析及控制器设计提供理论支持。To explore the impact of time-varying time delays on the permanent magnet synchronous motor current loop control system,a permanent magnet synchronous motor current loop closed-loop control system model considering time-varying delays is established,and the Lyapunov-Krasovskii functional is constructed using the time-delay partitioning method.The time-varying delays related stability criterion that ensures the asymptotic stability of the system is obtained,and the relationship between the controller gain,the time-varying time-delay upper bound and the stability of the closed-loop system is established,which provides a theoretical basis for controller parameter design in practical engineering applications.The simulation results show that the proposed method can ensure the asymptotic stability within the system and is less conservative than the classical method.It can provide theoretical support for time-varying delay-related stability analysis and controller design of control systems.

关 键 词：永磁同步电机 电流环 时变时滞 稳定性分析 

分 类 号：TH165[机械工程—机械制造及自动化] TG659[金属学及工艺—金属切削加工及机床]