Vibration Prediction Method of Electric Machines by using Experimental Transfer Function and Magnetostatic Finite Element Analysis

Saito, Akira; Kuroishi, Masakatsu; Nakai, Hideo

doi:10.1088/1742-6596/744/1/012088

Cited by 14 publications

(14 citation statements)

References 13 publications

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“…where t is the unit tangential field associated with n. Expression (8) is usually applied on a cylindrical surface Γ in the middle of the air gap [5,[12][13][14][15][16][17]32]. An example is provided in Figure 2 with the blue dashed surface Γ.…”

Section: Mstmentioning

confidence: 99%

“…The issue of local magnetic force computation has been addressed in many publications from the electromagnetic energy derivation [1,[6][7][8] to the application of numerical methods [9][10][11]. However, recent developments in the field of electromagnetic vibrations for electrical machines show a preference for estimating local magnetic forces based on the MST in the air gap [12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…Several models have recently been proposed to compute from the AGSF the equivalent forces which applies to the neutral fiber [30,31]. In some cases, the AGSF is integrated as lumped tooth forces [14,32].…”

Section: Introductionmentioning

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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Section: Mstmentioning

confidence: 99%

Section: Introductionmentioning

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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“…A linear B-H curve and homogeneous media are considered for the whole machine. The geometry used in this paper has been successfully used with lumped force mapping by [29] with a MT applied in the air-gap showing the interest of such magneto-mechanical weak-coupling methods.…”

Section: Machine Topologymentioning

confidence: 99%

“…Then the lumped force mapping can be used for vibro-acoustic prediction with similar tooth geometry. For example, [29] presented a successful prediction of the noise with lumped force mapping using the MT Air-gap. The case of Table II has a good agreement between linear and non-linear simulations.…”

Section: B Lumped Force Mappingmentioning

confidence: 99%

Comparison of Main Magnetic Force Computation Methods for Noise and Vibration Assessment in Electrical Machines

Pile

Devillers

Besnerais³

2018

IEEE Trans. Magn.

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This paper presents a comparison of several methods to compute the magnetic forces experienced by the stator teeth of electrical machines. In particular, the comparison focuses on the Virtual Work Principle (VWP) based nodal forces and the Maxwell Tensor (MT) applied on different surfaces. The VWP is set as the reference. The magnetic field is computed either with Finite Element Analysis (FEA) or with the semi-analytical Subdomain Method (SDM). Firstly, the magnetic saturation in iron cores is neglected (linear B-H curve). Then, the saturation effect is discussed in a second part. Homogeneous media are considered and all simulations are performed in 2D. The link between slot's magnetic flux and tangential force harmonics is also highlighted. The comparison is performed on the stator of a Surface-Mounted Permanent Magnet Synchronous Machine (SPMSM). While the different methods disagree on the local distribution of the magnetic forces at the stator surface, they give similar results concerning the integrated forces per tooth, referred as Lumped Forces. This conclusion is mitigated for saturated cases: the time harmonics are correctly computed with any of the presented Lumped Force methods but the amplitude of each harmonic is different between methods. Nonetheless, the use of semi-analytical Subdomain Method remains accurate with Maxwell Tensor in the air-gap even with saturation for design and diagnostic of electromagnetic noise in electrical machines. However, for more accurate studies based on local magnetic pressure, the Virtual Work Principle is strongly recommended.

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