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Mathematical Problems in Engineering
Volume 2014, Article ID 740498, 7 pages
Research Article

On Stability of Open-Loop Operation without Rotor Information for Brushless DC Motors

1School of Instrumentation Science and Optoelectronics Engineering, Beihang University, Beijing 100191, China
2Beijing Institute of Control Engineering, Chinese Academy of Space Technology, Beijing 100190, China

Received 17 February 2014; Accepted 8 June 2014; Published 1 July 2014

Academic Editor: Alexei Mailybaev

Copyright © 2014 Zhong Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Open-loop operation mode is often used to control the Brushless DC Motors (BLDCMs) without rotor position sensors when the back electromotive force (EMF) is too weak due to the very low rotor velocity. The rotor position information is not necessary in this mode and the stator windings are supplied with voltages under a certain ratio of the amplitude to the frequency. However, the rotor synchronization will be destroyed once if the commutation instant is inappropriate. In order to improve the reliability of the open-loop operation mode, a dynamic equation is established to represent the synchronization error between the rotor and the stator. Thereafter, the stability of the open-loop control mode is analyzed by using Lyapunov indirect method. Theoretical analysis indicates that the open-loop control mode is asymptotically stable only when the commutation instant of the stator current lags behind the ideal one suitably. Finally, theoretical analysis is verified through the experimental results of a certain BLDCM.