Coupling finite elements and analytical solution in the airgap of electric machines

Lee, K.; DeBortoli, M.J.; Lee, M.J.; Salon, S.J.

doi:10.1109/20.104969

Cited by 29 publications

(9 citation statements)

References 3 publications

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“…Fig. 11 shows relative perturbations of LF calculated using the following expression: (16) where represents the drag/lift LF component calculated for the conductor free of defects.…”

Section: A Verification Of Numerical Resultsmentioning

confidence: 99%

“…Basically, the existence of the coupling interface considerably deteriorates the conditioning of the finite element stiffness matrix, which means that standard iterative solvers, e.g., incomplete Cholesky conjugate gradient (ICCG), either have slow convergence or fail completely [14], [15]. In order to cope with this problem, several authors have implemented hybrid methods typically combining the finite element method (FEM) either with analytical solutions [16], or with the boundary element method (BEM) [17]. Nevertheless, these methods are still not in widespread use in 3-D engineering problems due to their complex implementation procedures and high computational expenses.…”

Section: Introductionmentioning

confidence: 99%

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Finite Element Analysis of Nondestructive Testing Eddy Current Problems With Moving Parts

et al. 2013

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We present the logical expressions (LE) approach that allows fast computation of three-dimensional eddy current problems, including parts in motion. The approach applies time-dependent logical expressions to describe moving parts of the model on a fixed computational grid. The study is motivated by a novel nondestructive testing technique called Lorentz force eddy current testing (LET), which enables the detection of defects lying deep inside a conducting material. Depending on the definition of the frame of reference, we present two different implementations of the LE approach referred to as 1) moving magnet approach, and 2) moving defect approach. In order to demonstrate the advantages of the LE approach, we compare its results with the sliding mesh technique. The validation of the obtained results with experiments is also presented.Index Terms-Eddy current testing, finite element method (FEM), logical expressions, Lorentz force, nondestructive testing.

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“…Fig. 11 shows relative perturbations of LF calculated using the following expression: (16) where represents the drag/lift LF component calculated for the conductor free of defects.…”

Section: A Verification Of Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Nondestructive Testing Eddy Current Problems With Moving Parts

et al. 2013

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“…However, as the machine rotates, the finite elements in the airgap are inevitably distorted, leading to deteriorate the accuracy. In order to solve the aforementioned problem, the concept of hybrid approaches [3], [4] was proposed which combines both the analytical solution and the FEM. In [3], the Neumann boundary condition was used to couple between the analytical solution in the airgap region and the FEM equations in the stator and rotor regions.…”

Section: A Finite Element-analytical Methods For Electromagnetic Fieldmentioning

confidence: 99%

A Finite Element–Analytical Method for Electromagnetic Field Analysis of Electric Machines With Free Rotation

Zhang

Chau²,

Jiang

et al. 2006

IEEE Trans. Magn.

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A hybrid approach, namely the finite element-analytical method (FEAM), is newly proposed and implemented for electromagnetic field analysis of electric machines with free rotation. The key is to derive a new analytical expression of the airgap field which can naturally couple with the finite element fields of both the stator and rotor. The proposed FEAM is exemplified by using two practical machines. The accuracy and validity are verified by comparing with both the finite element method and experimental results.

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“…The electromagnetic 18,19 The direct method directly plugs the angular velocity into the electromagnetic field finite element equation (10), which will result in asymmetrical matrix and lead to the difficulty of solving finite element equations. So the indirect coupling method is adopted in this article…”

Section: Time-stepping Fem Simulationmentioning

confidence: 99%

“…8 But for the insertion of dense matrix blocks into the sparse finite element matrices, the computational time is substantially increased. 9,10 The moving band method is proposed in Davat et al 11 There is no need of the special elements or coupling techniques; no dense blocks are generated in the system matrix and the system dimension is not increased. 12 For this reason, the moving band method should be superior to the air-gap element method in terms of computational speed.…”

Section: Introductionmentioning

confidence: 99%

The treatment of moving problem for constant-frequency double-rotor generator in finite element analysis

Jiang

Zhang

Cheng

2015

Advances in Mechanical Engineering

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The constant-frequency double-rotor generator has the potential to be used in the marine energy conversions, such as tides and marine current power generation system due to the advantages. However, there are two different rotational speed movement boundaries in the constant-frequency double-rotor generator, especially the inner moving part boundary between the inner wound rotor and outer permanent magnet rotor. This complicates the finite element analysis and greatly increases the analysis time. In this article, a new finite element analysis method based on double boundaries interpolation multiple reference frame is proposed. The principle of the interpolation multiple reference frame method is introduced, and the analysis and comparison with the traditional method are carried out. The analysis results show that the interpolation multiple reference frame method simplifies the preprocessing procedure, reduces computation time, ensures high calculation accuracy, and has the potential to be applied in all kinds of multiple mechanical port machines.

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Coupling finite elements and analytical solution in the airgap of electric machines

Cited by 29 publications

References 3 publications

Finite Element Analysis of Nondestructive Testing Eddy Current Problems With Moving Parts

Finite Element Analysis of Nondestructive Testing Eddy Current Problems With Moving Parts

A Finite Element–Analytical Method for Electromagnetic Field Analysis of Electric Machines With Free Rotation

The treatment of moving problem for constant-frequency double-rotor generator in finite element analysis

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