Hybrid control of a three-pole active magnetic bearing

Kiani, Mahdi; Salarieh, Hassan; Alasty, Aria; Darbandi, S. Mahdi

doi:10.1016/j.mechatronics.2016.07.004

Cited by 16 publications

(12 citation statements)

References 12 publications

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“…Cheng and Cao [20] considered Hopf bifurcation control for a complex network model with time delays, and they presented a hybrid control strategy to control the model. Kiani et al [21] used the hybrid control method for a three-pole active magnetic bearing (AMB), and the method showed that the power usage decreased in the hybrid control method comparing to a simple linear control. Peng et al [24] studied the Hopf bifurcation control for a Lotka-Volterra predator-prey model with two delays by using a hybrid control strategy.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response

Peng

Zhang

Lim

et al. 2018

Mathematical Problems in Engineering

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Hopf bifurcation analysis of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response is investigated. By analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the system are obtained. In addition, a hybrid control strategy is proposed to postpone the onset of an inherent bifurcation of the system. By utilizing normal form method and center manifold theorem, the explicit formulas that determine the direction of Hopf bifurcation and the stability of bifurcating period solutions of the controlled system are derived. Finally, some numerical simulation examples confirm that the hybrid controller is efficient in controlling Hopf bifurcation.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response

Peng

Zhang

Lim

et al. 2018

Mathematical Problems in Engineering

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“…The magnetic circuit is assembled from two identical parts with above mentioned winding in each part. Eighteen permanent magnets are placed around the perimeter between both parts [10], as shown in The 3-phase winding creates a source for magnetic circuit (red line in Fig. 2) and produces controlled magnetic field in this circuit.…”

Section: Description Of the Hybrid Magnetic Bearingmentioning

confidence: 99%

Experimental Verification of the Hybrid Magnetic Bearing Operation

Vitner

Pavelka

Lettl

2018

2018 International Conference on Applied Electronics (AE)

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This paper discusses the proposal, realization, controlling system implementation and function verification of a hybrid magnetic bearing. The hybrid magnetic bearing in comparison with active and passive magnetic bearings exploits both passive and active magnetic fluxes. This type of bearing is not given too much attention in the literature despite of its many advantages. The issue of active and passive magnetic bearings is widely elaborated against the issue of hybrid magnetic bearings. The hybrid magnetic bearing is the special kind of a radial magnetic bearing. This magnetic bearing exploits permanent magnets to produce the basic magnetic flux acting the rotor and 3-phase double layer winding to influence this flux by an active magnetic flux. Basically, the hybrid magnetic bearing was developed for high speed bearing-less devices. According to that, we are expecting the achievement the highest rotor levitation stability in wide range of rotational speed and in various driving modes. The quality of the levitation is evaluated by international standards [ISO 14839]. In this paper, results of experimental verification of the levitation stability are presented.

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“…On the controller aspects, different types of algorithms have been developed and implemented to control the AMB system over the years. In [14], a hybrid controller based on state feedback approach is developed, and gains are chosen by LQR method. A state based disturbance observer is introduced in [15] for nullifying the mismatched uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Reduced Order Modeling and Sliding Mode Control of Active Magnetic Bearing

et al. 2019

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Due to the accelerated growth in the field of power electronics and controller design techniques, the usage of the active magnetic bearing has picked up in industries. Active magnetic bearing helps the rotor to rotate freely without any physical contact. In brief, this paper develops a model of an active magnetic bearing using the finite element method, and its associated reduced order model, followed by the development of a robust control strategy. COMSOL software is used to perform three-dimensional simulation of an active magnetic bearing system. The state space system matrices are extracted from the finite element method, and a linear time-invariant state-space system is generated in MATLAB. Since the original system is large, the reduced order model is constructed. Then, based upon the reduced order model, a sliding mode control is designed to improve the regulation performance of an active magnetic bearing under unmodeled uncertainties. The stability analysis of closed-loop reduced order model with unmodeled uncertainties guarantees the finite time convergence of system states using Lyapunov theory. Further, it is proved that the same control law will also provide satisfactory performance for the original model using the reduced order model as an observer. The numerical simulation is carried out to illustrate the effective performance of the proposed controller for the reduced model as well as the original model with multiple initial conditions. The proposed work offers an alternative approach of using the reduced order model instead of the original model for the controller design of an active magnetic bearing. INDEX TERMS Active magnetic bearing, finite element method, full order model, 3D simulation, model order reduction, reduced order model, sliding mode control, finite time convergence.

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Hybrid control of a three-pole active magnetic bearing

Cited by 16 publications

References 12 publications

Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response

Hopf Bifurcation and Hybrid Control of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate and Holling Type II Functional Response

Experimental Verification of the Hybrid Magnetic Bearing Operation

Reduced Order Modeling and Sliding Mode Control of Active Magnetic Bearing

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