The Emergence of Multiple Equilibria in Electromechanical Systems

[+] Author and Article Information
Neyram Hemati

Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104

J. Dyn. Sys., Meas., Control 116(4), 735-744 (Dec 01, 1994) (10 pages) doi:10.1115/1.2899273 History: Received May 12, 1992; Revised September 16, 1993; Online March 17, 2008


The dynamic characteristics of brushless dc machines are considered. It is demonstrated that due to the inherent nonlinear dynamics of these systems, multiple steady-state solutions can exist. The presence of multiple equilibrium solutions is in turn used to provide an explanation for the loss of stability associated with a locally stable operating state. Numerical simulations are used to help verify the presence of multiple equilibria and their effect on the stability of the systems under investigation. Finally, an example is presented which demonstrates that the presence of multiple equilibria can lead to chaotic behavior in bldcm systems with variable reluctance.

Copyright © 1994 by The American Society of Mechanical Engineers
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