行波型超声电机的稳定性分析  

Stability study of the traveling wave ultrasonic motor

作　　者：罗辞勇[1] 张帆[1] 杜劲超[1] 

机构地区：[1]重庆大学输配电装备及系统安全与新技术国家重点实验室,重庆400044

出　　处：《重庆大学学报（自然科学版）》2014年第2期46-53,共8页Journal of Chongqing University

基　　金：国家自然科学基金项目资助(51177177);中央高校基本科研业务费资助(CDJZR10 15 00 13)

摘　　要：在行波型超声波电机数学模型的基础上,研究了其稳定性。首先利用李雅普诺夫稳定性判据对超声电机驱动区间和制动区间的3种情况进行了分析,在研究数学模型基础上完成了超声电机的模型仿真、讨论和仿真验证;其次,在超声电机稳定性的分析基础之上,通过对驱动制动区间关系曲线和转速转矩关系曲线的分析得出了速度、转矩和预压力3者之间的关系,并做了超声电机运行稳定性的仿真讨论。研究表明:超声电机在满足李雅普诺夫平衡条件时,驱动区间的最大极限值是定子与接触层的边界接触点,即x1=x0。对速度、转矩和预压力3者之间关系展开分析,为超声电机设计和控制提供借鉴。This article focuses on the stability of ultrasonic motor based on its mathematical model. Subjected to the condition that the running speed is satisfied with the Laypunov equation,three different driven interval of ultrasonic motors are analyzed at first. And then the simulation,discussion and verification work have been done after researching on the mathematical model of ultrasonic motor. Furthermore,according to the analysis of the driving-braking interval cure and speed-torque cure,the relationship among speed,torque and pre-pressure is obtained by a series of simulation studies.Research result shows that the maximum limit of the driving range is the boundary of the contact point of the stator and the contact layer x1 = x0 when the ultrasonic motor meets the Laypunov equilibrium conditions.It provides a reference for the design and control based on the relationship among speed,torque and pre-pressure.

关 键 词：超声电机数学模型 李雅普诺夫速度平衡方程 超声电机区间特性 

分 类 号：TM350[电气工程—电机]