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Development and Investigation of Radial Active Magnetic Bearing's Mathematical Model
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Abstract
Two mathematical models of radial active magnetic bearing - complete and simplified - are presented. Complete mathematical model of the active magnetic bearing is designed to research the nonlinear properties of the electromagnet and the influence of these nonlinearities on the dynamics of the rotor. A simplified mathematical model of the active magnetic bearing is applicable for the purposes of simulation in Matlab/Simulink. The proposed algorithm for constructing a complete mathematical model is implemented as a stand-alone software application. The application provides the calculation and visualization of the major electromagnetic characteristics of the active magnetic bearing. The numerical relationships obtained with this application are described: the relationship between the inductance and the current position of the rotor, the relationship between the electromagnetic force, the current in the coils of the electromagnet and the current position of the rotor. These numerical values are subsequently used in the synthesis of electromagnetic suspension control system.
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References
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