Bifurcations and chaos in a permanent-magnet synchronous motor

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

Research output: Contribution to journalArticlepeer-review

298 Citations (Scopus)


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 languageEnglish
Pages (from-to)383-387
Number of pages5
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number3
Publication statusPublished - 2002 Mar

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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