The Hopf Bifurcations in the Permanent Magnet Synchronous Motors

The Hopf Bifurcations in the Permanent Magnet Synchronous Motors

Year:    2021

Author:    Bo Sang

Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 2 : pp. 179–191

Abstract

Based on the focus quantities and other techniques, the stability properties of equilibria and the limit cycles arising from Hopf bifurcations are investigated for two models of permanent magnet synchronous motors. The first model is of surface-magnet type and can have at most two unstable small limit cycles, which are symmetric with respect to $x$-axis. The other model is of interior-magnet type and can have at most four small limit cycles in two symmetric nests.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2021.179

Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 2 : pp. 179–191

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Focus quantity Limit cycle Hopf bifurcation.

Author Details

Bo Sang