Bifurcations and chaos in a permanent-magnet synchronous motor

Zhong Li; Jin Bae Park; Young Hoon Joo; Bo Zhang; Guanrong Chen

doi:10.1109/81.989176

Bifurcations and chaos in a permanent-magnet synchronous motor

Zhong Li, Jin Bae Park, Young Hoon Joo, Bo Zhang, Guanrong Chen

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

255 Citations (Scopus)

Abstract

This brief studies dynamic characteristics of a permanent-magnet synchronous motor (PMSM). The mathematical model of the PMSM is first derived, which is fit for carrying out the bifurcation and chaos analysis. Then, the steady-state characteristics of the system, when subject to constant input voltage and constant external torque, are formulated. Three cases are discussed and, for each case, conditions are derived under which the dynamic characteristics of the system are either of steady-state type, limit cycles or chaotic, thus by properly adjusting some system parameters, the system can exhibit limit cycles (LCs) or chaotic behaviors at will. Finally, computer simulations are presented to verify the existence of strange attractors in the PMSM.

Original language	English
Pages (from-to)	383-387
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	49
Issue number	3
DOIs	https://doi.org/10.1109/81.989176
Publication status	Published - 2002 Mar

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/81.989176

Cite this

@article{10eeb97b0c1a4cb0ae3081c15056a98f,

title = "Bifurcations and chaos in a permanent-magnet synchronous motor",

abstract = "This brief studies dynamic characteristics of a permanent-magnet synchronous motor (PMSM). The mathematical model of the PMSM is first derived, which is fit for carrying out the bifurcation and chaos analysis. Then, the steady-state characteristics of the system, when subject to constant input voltage and constant external torque, are formulated. Three cases are discussed and, for each case, conditions are derived under which the dynamic characteristics of the system are either of steady-state type, limit cycles or chaotic, thus by properly adjusting some system parameters, the system can exhibit limit cycles (LCs) or chaotic behaviors at will. Finally, computer simulations are presented to verify the existence of strange attractors in the PMSM.",

author = "Zhong Li and Park, {Jin Bae} and Joo, {Young Hoon} and Bo Zhang and Guanrong Chen",

year = "2002",

month = mar,

doi = "10.1109/81.989176",

language = "English",

volume = "49",

pages = "383--387",

journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",

issn = "1549-8328",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "3",

}

TY - JOUR

T1 - Bifurcations and chaos in a permanent-magnet synchronous motor

AU - Li, Zhong

AU - Park, Jin Bae

AU - Joo, Young Hoon

AU - Zhang, Bo

AU - Chen, Guanrong

PY - 2002/3

Y1 - 2002/3

N2 - This brief studies dynamic characteristics of a permanent-magnet synchronous motor (PMSM). The mathematical model of the PMSM is first derived, which is fit for carrying out the bifurcation and chaos analysis. Then, the steady-state characteristics of the system, when subject to constant input voltage and constant external torque, are formulated. Three cases are discussed and, for each case, conditions are derived under which the dynamic characteristics of the system are either of steady-state type, limit cycles or chaotic, thus by properly adjusting some system parameters, the system can exhibit limit cycles (LCs) or chaotic behaviors at will. Finally, computer simulations are presented to verify the existence of strange attractors in the PMSM.

AB - This brief studies dynamic characteristics of a permanent-magnet synchronous motor (PMSM). The mathematical model of the PMSM is first derived, which is fit for carrying out the bifurcation and chaos analysis. Then, the steady-state characteristics of the system, when subject to constant input voltage and constant external torque, are formulated. Three cases are discussed and, for each case, conditions are derived under which the dynamic characteristics of the system are either of steady-state type, limit cycles or chaotic, thus by properly adjusting some system parameters, the system can exhibit limit cycles (LCs) or chaotic behaviors at will. Finally, computer simulations are presented to verify the existence of strange attractors in the PMSM.

UR - http://www.scopus.com/inward/record.url?scp=0036506153&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036506153&partnerID=8YFLogxK

U2 - 10.1109/81.989176

DO - 10.1109/81.989176

M3 - Article

AN - SCOPUS:0036506153

VL - 49

SP - 383

EP - 387

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

SN - 1549-8328

IS - 3

ER -

Bifurcations and chaos in a permanent-magnet synchronous motor

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this