STRANGE ATTRACTORS IN BRUSHLESS DC MOTORS

被引:164
作者
HEMATI, N
机构
[1] Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1994年 / 41卷 / 01期
基金
美国国家科学基金会;
关键词
D O I
10.1109/81.260218
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper deals with the open-loop dynamic characteristics of smooth-air-gap brushless dc motors. The steady-state characteristics of these systems, subject to constant input voltages and constant external torques, are formulated, whereby it is shown that the presence of viscous damping friction can cause the system to possess multiple physical equilibria. Furthermore, using an affine transformation, it is shown that the open-loop dynamics of smooth-air-gap brushless dc motors and the Lorenz system, a system known to possess chaotic behavior, are equivalent. Finally, computer simulations are presented that verify the existence of strange attractors in the open-loop dynamics of brushless dc motors.
引用
收藏
页码:40 / 45
页数:6
相关论文
共 7 条
[1]  
Guckenheimer J., 1986, DYNAMICAL SYSTEMS BI
[2]   ROBUST NONLINEAR CONTROL OF BRUSHLESS DC MOTORS FOR DIRECT-DRIVE ROBOTIC APPLICATIONS [J].
HEMATI, N ;
THORP, JS ;
LEU, MC .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1990, 37 (06) :460-468
[3]   A COMPLETE MODEL CHARACTERIZATION OF BRUSHLESS DC MOTORS [J].
HEMATI, N ;
LEU, MC .
IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 1992, 28 (01) :172-180
[4]   A COMPACT REPRESENTATION OF SYNCHRONOUS MOTORS AND UNREGULATED SYNCHRONOUS GENERATORS [J].
KAPLAN, BZ ;
KOTTICK, D .
IEEE TRANSACTIONS ON MAGNETICS, 1985, 21 (06) :2657-2663
[5]   POSSIBLE CHAOTIC PHENOMENON IN A 3-PHASE OSCILLATOR [J].
KAPLAN, BZ ;
YARDENI, D .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (08) :1148-1151
[6]  
Moon F.C., 1987, CHAOTIC VIBRATIONS
[7]   NEW APPROACH TO SUBCRITICAL INSTABILITY AND TURBULENT TRANSITIONS IN A SIMPLE DYNAMO [J].
ROBBINS, KA .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1977, 82 (SEP) :309-325