3D coupled electromagnetic and structural finite element analysis of motional eddy current problems

Brauer, J.R.; Ruehl, J.J.

doi:10.1109/20.312640

Cited by 26 publications

(11 citation statements)

References 11 publications

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“…Thus (10) where is the bias flux and is the dynamic flux produced by the ac current when flux leakage is neglected. Since the magnetic force is given by (11) where is the area of the air gap, substituting (10) into (11) gives (12) where (13) (14) and (15) where is the static force, is the linear part of the force and is the second order term that can be neglected. For an AMTB, the flux in the two air gaps and the four leakage paths at pole tips will produce magnetic forces acting on the disk, and all these forces can be summed up directly to give the total bearing force.…”

Section: A Dynamic Current Stiffnessmentioning

confidence: 99%

“…The difficulty with these methods is with the air-gap region between the moving armature and stator, which shrinks or expands with the movement of the armature. A coupled electromagnetic and structural FE analysis was used to analyze the electromechanical performance of the actuators [15]- [17]. By modeling the air with a small structural stiffness, nodes could be moved during the coupled solution.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Stiffnesses of Active Magnetic Thrust Bearing Including Eddy-Current Effects

Sun¹,

Ho²,

Yu³

2009

IEEE Trans. Magn.

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The eddy currents induced in a thrust bearing result not only in a power loss of the system but also in phase lag and a decrease in magnitude of the magnetic force. Therefore, an accurate model including eddy-current effects would be highly beneficial at the design stage. We present a linear model including eddy-current effects for a typical active magnetic thrust bearing (AMTB). We define and calculate the dynamic current stiffness and displacement stiffness using both an analytical method and transient finite element (FE) analysis. We present a simple magnetic circuit model including eddy currents from which the two stiffnesses can be derived analytically. Furthermore, by using a transient analysis of the FE model, flux saturation, leakage, and fringing effects can all be taken into account. We show that the two stiffnesses have the same frequency response characteristics, both in the analytical model and from the results of the linear FE analysis, when the leakage and fringing effects are ignored. Even in the more practical case when the flux saturation, leakage and fringing effects are considered, the two stiffnesses can be considered to have the same frequency response characteristics within the 3 dB bandwidth without introducing much error. The open-loop frequency response of the two stiffnesses derived from the analytical model and the FE model agrees well with the experimental results.Index Terms-Active magnetic thrust bearing, dynamic stiffness, eddy-current effects, FEM model.

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Section: A Dynamic Current Stiffnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic Stiffnesses of Active Magnetic Thrust Bearing Including Eddy-Current Effects

Sun¹,

Ho²,

Yu³

2009

IEEE Trans. Magn.

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“…When the steady-state solution of the motion equation is sought, the frequency domain method [1] is also another choice. However, when the equation is nonlinear or when it is coupled with the magnetic equation, e.g., through large displacements the modal and frequency domain methods are no longer applicable and one has to resort to TIMs [3], [5].…”

Section: Introductionmentioning

confidence: 99%

“…SEMI-DISCRETIZED MAGNETOMECHANICAL EQUATIONS The semi-discretized equations of a magnetomechanical system, including field-circuit coupling, usually take the following form [3]:…”

Section: Introductionmentioning

confidence: 99%

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Comparison of Time Integration Methods in Magnetomechanical Problems

et al. 2015

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This paper makes a survey of several popular time integration methods, including the backward Euler, central difference, Crank-Nicolson, Newmark, weighted residual finite element, and time-discontinuous Galerkin methods, and comparisons are made by applying some of the methods to the vibration analysis of a stator-housing structure as well as to the transient response analysis of an electromagnet. The comparison of vibration analysis shows that with an acceptably small step-size, the Newmark method gives result as accurate as the Euler method does, with half the cost. In the transient analysis of the electromagnet, however, it was observed that applying the Euler method to the magnetic equation performs much better compared with the Crank-Nicolson method even though the theoretical accuracy of the latter is higher.

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Electromechanical Finite Elements

Brauer

2006

Magnetic Actuators and Sensors

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3D coupled electromagnetic and structural finite element analysis of motional eddy current problems

Cited by 26 publications

References 11 publications

Dynamic Stiffnesses of Active Magnetic Thrust Bearing Including Eddy-Current Effects

Dynamic Stiffnesses of Active Magnetic Thrust Bearing Including Eddy-Current Effects

Comparison of Time Integration Methods in Magnetomechanical Problems

Electromechanical Finite Elements

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