Using a Galerkin Projection Method for Coupled Problems

Parent, Guillaume; Dular, Patrick; Ducreux, Jean‐Pierre; Piriou, F.

doi:10.1109/tmag.2008.915798

Cited by 15 publications

(16 citation statements)

References 7 publications

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“…where ≫ M 1 and ≫ Q 1 are adimensional coefficients. Introducing (54) in (38) and (44) leads to: such that there could be a 40% error on the fourth wavenumber.…”

Section: Discussionmentioning

confidence: 99%

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Analytical study of air-gap surface force – application to electrical machines

Pile

Besnerais²,

Parent

et al. 2020

Open Physics

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The Maxwell stress tensor (MST) method is commonly used to accurately compute the global efforts, such as electromagnetic torque ripple and unbalanced electromagnetic forces in electrical machines. The MST has been extended to the estimation of local magnetic surface force for the vibroacoustic design of electrical machines under electromagnetic excitation. In particular, one common air-gap surface force (AGSF) method based on MST is to compute magnetic surface forces on a cylindrical shell in the air gap. However, the AGSF distribution depends on the radius of the cylindrical shell. The main contribution of this study is to demonstrate an analytic transfer law of the AGSF between the air gap and the stator bore radius. It allows us to quantify the error between the magnetic surface force calculated in the middle of the air gap and the magnetic force computed on the stator teeth. This study shows the strong influence of the transfer law on the computed tangential surface force distribution through numerical applications with induction and synchronous electrical machines. Finally, the surface force density at stator bore radius is more accurately estimated when applying the new transfer law on the AGSF.

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“…where ≫ M 1 and ≫ Q 1 are adimensional coefficients. Introducing (54) in (38) and (44) leads to: such that there could be a 40% error on the fourth wavenumber.…”

Section: Discussionmentioning

confidence: 99%

“…According to ref. [54], the nodal force computed with the VWP concentrates the effects of the actual force density in the direct vicinity of the node. As a consequence, a nodal force is meaningful only on its original mesh.…”

Section: Vwp Equivalent Surface Forcementioning

confidence: 99%

Analytical study of air-gap surface force – application to electrical machines

Pile

Besnerais²,

Parent

et al. 2020

Open Physics

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show abstract

“…As the name states, this operator projects the solution in the source mesh onto the target mesh using the Galerkin method. This projection becomes a linear mapping around the circumferential contour of the stator of both meshes as presented in [31]. Later on, this projected result is extruded axially.…”

Section: Time-stepping Formulationmentioning

confidence: 99%

A 2D magnetic and 3D mechanical coupled finite element model for the study of the dynamic vibrations in the stator of induction motors

Martinez

Belahcen

Detoni

2016

Mechanical Systems and Signal Processing

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“…Mesh-to-mesh projection can be performed through an explicit interpolation or Galerkin method [3], [4]. The latter has the advantage of great overall precision, and has already been applied in various domains such as fluid mechanics [5], thermo-mechanic [6] and magnetothermic [7]. For magneto-elastic coupled problems, Galerkin projections can be carried out at different stages.…”

Section: Introductionmentioning

confidence: 99%

“…For magneto-elastic coupled problems, Galerkin projections can be carried out at different stages. Parent et al [7] show the possibility of projecting magnetic field, magnetic vector potential and force density. Wang et al compare the magnetic field projection in different spaces [8], and propose energetic Galerkin projection [9] to minimize the errors of magnetic energy while projecting magnetic field.…”

Section: Introductionmentioning

confidence: 99%