Analytical modeling of active magnetic bearing geometry

Piłat, Adam

doi:10.1016/j.apm.2010.03.021

Cited by 31 publications

(7 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Recalling that AMB is an electro-mechanical device, the electromagnetic and mechanical models can be picturized as shown in Figure 2 to obtain the overall model. The electromagnetic block in Figure 2 is governed by (8) and 9, both being PDE's, while the mechanical block is governed by (10), which is a single ordinary differential equation.…”

Section: Working Principle and Fem Modeling Of Ambmentioning

confidence: 99%

See 1 more Smart Citation

Reduced Order Modeling and Sliding Mode Control of Active Magnetic Bearing

et al. 2019

View full text Add to dashboard Cite

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.

show abstract

Section: Working Principle and Fem Modeling Of Ambmentioning

confidence: 99%

“…The simulation analysis for three and four coil AMB using FEM has been shown in [7]. There exist various FEM software for simulating AMB e.g., COM-SOL [8], ANSYS [7], [9], etc. are some of them.…”

Section: Introductionmentioning

confidence: 99%

Reduced Order Modeling and Sliding Mode Control of Active Magnetic Bearing

et al. 2019

View full text Add to dashboard Cite

show abstract

“…A number of software tools to support the methodology were developed through recent years. The Active Magnetic Bearing [14] geometry and prototype was manufactured using this concept [10]. Finally, the AML systems were initially developed with support of COMSOL Multiphysics [6,11].…”

Section: Introductionmentioning

confidence: 99%

Modelling, investigation, simulation, and PID current control of Active Magnetic Levitation FEM model

Piłat

2013

2013 18th International Conference on Methods &Amp; Models in Automation &Amp; Robotics (MMAR)

Self Cite

View full text Add to dashboard Cite

This elaboration presents the numerical model of the Active Magnetic Levitation (AML). The model is developed in the 2D axis symmetry mode. The Finite Element Method is used to calculate the magnetic field. The Ordinary Differential Equation is solved simultaneously to simulate the levitated object motion. The model is solved in the time domain, together with the levitated object motion being simulated. A few investigation simulations are realized to diagnose the basic properties of the model. The PID current mode controller is used to drive the coil and keep the object levitated in the desired position. The electromagnetic force and magnetic flux density are investigated to analyze the AML non-linearities. Finally, the conclusions towards the experimental research are given.

show abstract

“…AMBs are viable because they are very effective in controlling the vibration of the rotor and offer the possibility to monitor the rotor's behavior using displacement sensors; however they have serious drawbacks related to their stiffness. Electromagnetic dampers appear to be a valid alternative to viscoelastic, hydraulic dampers due to the absence of fatigue and Toronto, Canada tribology issues, the small sensitivity to the working environment, the wide possibility of tuning -even during operation -and the predictability of their behavior (Pilat, 2010). Studies of the magnetic energy problem for AMB were applied in a test rig in order to analyze the influence of design on a magnetic energy problem.…”

Section: Introductionmentioning

confidence: 99%

Axial active magnetic bearing design

Barbaraci¹

2014

Journal of Vibration and Control

View full text Add to dashboard Cite

The purpose of this paper is to propose a useful method to implement active magnetic bearings (AMBs) on an existing rotating shaft which rotates on conventional bearings. This is feasible if AMBs can produce the same reaction loads of conventional ones and if the size of the vane is large enough to host an AMB. As this substitution could give some difficulties due to the different size between magnetic bearings and conventional ones, a set of equations are performed to show that a variation of some parameters can solve this problem. The coil ratio is the geometrical parameter introduced to develop the present analysis. The variation of coil ratio does not produce a variation of the pole's surface so that the reaction load does not change. The results are analyzed by numerical analysis by mathematical relationships involving the design parameters, magneto-static simulations and dynamic simulation on the shaft when it is tested by a step response and performing frequency response parameterized with coil ratio. Results show that the displacement carried out by the step response is always the same, when the journal ratio and frequency response are varied, confirming that the reaction load, produced by pole expansion, remains the same when the coil ratio varies. The simulations and results are performed by finite element method magnetic and MATLab software.

show abstract

Analytical modeling of active magnetic bearing geometry

Cited by 31 publications

References 5 publications

Reduced Order Modeling and Sliding Mode Control of Active Magnetic Bearing

Reduced Order Modeling and Sliding Mode Control of Active Magnetic Bearing

Modelling, investigation, simulation, and PID current control of Active Magnetic Levitation FEM model

Axial active magnetic bearing design

Contact Info

Product

Resources

About