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Analysis of supercritical pitchfork bifurcation in active magnetic bearing-rotor system with current saturation
- Source :
- Nonlinear Dynamics. 104:103-123
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- The bifurcation characteristics of the active magnetic bearing-rotor system subjected to the external excitation were investigated analytically when it was operating at a speed far away from its natural frequencies. During operation of the system, some nonlinear factors may be prominent, for example, the nonlinearity of bearing force and current saturation. Nonlinear factors can lead to some complicated behaviors, which have negative effects on the operating performance and stability. To analyze the bifurcations happening at the speed far away from harmonic resonances, an approximate analytical method that can be applicable to the bifurcation analysis of the forced vibration system was proposed. By applying it to the active magnetic bearing-rotor system, multiple static equilibriums and periodic solutions were obtained, and then, the stability analysis was conducted based on Floquet theory. The validity and accuracy of the approximate analytical method were verified by the numerical integration method and generalized cell mapping digraph method. It was found that there was supercritical pitchfork bifurcation of static equilibrium in the active magnetic bearing-rotor system. The influences of external excitation and controller parameters on dynamical characteristics were discussed. Based on analysis results, controller parameters were also improved to prevent nonlinear behaviors and improve system performance.
- Subjects :
- Physics
Floquet theory
Mechanical equilibrium
Applied Mathematics
Mechanical Engineering
Aerospace Engineering
Magnetic bearing
Ocean Engineering
Mechanics
01 natural sciences
law.invention
Vibration
Nonlinear system
Pitchfork bifurcation
Control and Systems Engineering
law
Control theory
0103 physical sciences
Electrical and Electronic Engineering
010301 acoustics
Bifurcation
Subjects
Details
- ISSN :
- 1573269X and 0924090X
- Volume :
- 104
- Database :
- OpenAIRE
- Journal :
- Nonlinear Dynamics
- Accession number :
- edsair.doi...........44d1227a952216c65dd5f8ebb701dd29