THE EMERGENCE OF MULTIPLE EQUILIBRIA IN ELECTROMECHANICAL SYSTEMS

The dynamic characteristics of brushless dc machines are considered. I t is demonstrated that due to the inherent nonlinear dynamics of these systems, multiple steady-state solutions can exist. The presence of m ultiple equilibrium solutions is in turn used to provide an explanatio n 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 u nder investigation. Finally, an example is presented which demonstrate s that the presence of multiple equilibria can lead to chaotic behavio r in bldcm systems with variable reluctance.