Dynamics and Stability of Permanent-Magnet Synchronous Motor
The aim of this article is to explore the dynamic characteristics and stability of the permanent-magnet synchronous motor (PMSM). PMSM equilibrium local stability condition and Hopf bifurcation condition, pitchfork bifurcation condition, and fold bifurcation condition have been derived by using the...
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2017/4923987 |
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doaj-a04c564ee52144b1bf3f6d19350b462c2020-11-25T00:06:41ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/49239874923987Dynamics and Stability of Permanent-Magnet Synchronous MotorRen He0Qingzhen Han1School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, ChinaSchool of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, ChinaThe aim of this article is to explore the dynamic characteristics and stability of the permanent-magnet synchronous motor (PMSM). PMSM equilibrium local stability condition and Hopf bifurcation condition, pitchfork bifurcation condition, and fold bifurcation condition have been derived by using the Routh-Hurwitz criterion and the bifurcation theory, respectively. Bifurcation curves of the equilibrium with single and double parameters are obtained by continuation method. Numerical simulations not only confirm the theoretical analysis results but also show one kind of codimension-two-bifurcation points of the equilibrium. PMSM, with or without external load, can exhibit rich dynamic behaviors in different parameters regions. It is shown that if unstable equilibrium appears in the parameters regions, the PMSM may not be able to work stably. To ensure the PMSMs work stably, the inherent parameters should be designed in the region which has only one stable equilibrium.http://dx.doi.org/10.1155/2017/4923987 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ren He Qingzhen Han |
spellingShingle |
Ren He Qingzhen Han Dynamics and Stability of Permanent-Magnet Synchronous Motor Mathematical Problems in Engineering |
author_facet |
Ren He Qingzhen Han |
author_sort |
Ren He |
title |
Dynamics and Stability of Permanent-Magnet Synchronous Motor |
title_short |
Dynamics and Stability of Permanent-Magnet Synchronous Motor |
title_full |
Dynamics and Stability of Permanent-Magnet Synchronous Motor |
title_fullStr |
Dynamics and Stability of Permanent-Magnet Synchronous Motor |
title_full_unstemmed |
Dynamics and Stability of Permanent-Magnet Synchronous Motor |
title_sort |
dynamics and stability of permanent-magnet synchronous motor |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2017-01-01 |
description |
The aim of this article is to explore the dynamic characteristics and stability of the permanent-magnet synchronous motor (PMSM). PMSM equilibrium local stability condition and Hopf bifurcation condition, pitchfork bifurcation condition, and fold bifurcation condition have been derived by using the Routh-Hurwitz criterion and the bifurcation theory, respectively. Bifurcation curves of the equilibrium with single and double parameters are obtained by continuation method. Numerical simulations not only confirm the theoretical analysis results but also show one kind of codimension-two-bifurcation points of the equilibrium. PMSM, with or without external load, can exhibit rich dynamic behaviors in different parameters regions. It is shown that if unstable equilibrium appears in the parameters regions, the PMSM may not be able to work stably. To ensure the PMSMs work stably, the inherent parameters should be designed in the region which has only one stable equilibrium. |
url |
http://dx.doi.org/10.1155/2017/4923987 |
work_keys_str_mv |
AT renhe dynamicsandstabilityofpermanentmagnetsynchronousmotor AT qingzhenhan dynamicsandstabilityofpermanentmagnetsynchronousmotor |
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1725420931853058048 |