Analysis of Zeroth-Mode Slot Frequency Vibration of Integer Slot Permanent-Magnet Synchronous Motors

Wang, Shanming; Hong, Jianfeng; Sun, Yuguang; Cao, Haitao

doi:10.1109/tie.2019.2910046

Cited by 83 publications

(25 citation statements)

References 19 publications

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“…The rotor salient structure can be approximately equivalent to the rotor slot effect. With the consideration of the slot effect and the salient effect, the equivalent air gap permeance can be expressed as [23], [26]…”

Section: A Analytical Model Of Air-gap Permeancementioning

confidence: 99%

Influence of Salient Effect on Air-Gap Flux Density Distribution of Interior Permanent-Magnet Synchronous Machines

Xia

Zhang

et al. 2021

IEEE Access

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Interior permanent magnet synchronous machines (IPMSMs) are widely used in electric vehicles due to their high power density, high efficiency, and wide speed range. Compared with surfacemounted PMSMs, the salient effect of IPMSMs causes a significant difference between quadrature-axis and direct-axis flux paths, which can increase the harmonic components of the air-gap field and affect the operation of the machine. Herein, taking a 6-poles 36-slots PMSM as an example, this paper analyzes the influence of salient effect on the air-gap flux density. Based on salient effect function, the analytical model of air-gap flux density considering the salient effect is established, and the influence of the salient effect on the spatial-temporal distribution characteristics of air-gap flux density excited by permanent magnets and armature reaction are derived, which are verified by the finite element method (FEM). Both simulation and experiment results of the prototype show good agreement, and the sources of salient effect are found with finite element model and equivalent magnetic circuit. Further, different current excitations are applied to analyze the influence of the salient effect on different magnetic fields. The results show that the salient effect has a more significant influence on the direct-axis armature reaction magnetic field, which increases the harmonics components with the temporal orders of 3ka (ka=1,2,3…).INDEX TERMS IPMSMs, salient effect, quadrature-axis and direct-axis flux paths, spatial-temporal distribution, equivalent magnetic circuit, FEM.

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Section: A Analytical Model Of Air-gap Permeancementioning

confidence: 99%

Influence of Salient Effect on Air-Gap Flux Density Distribution of Interior Permanent-Magnet Synchronous Machines

Xia

Zhang

et al. 2021

IEEE Access

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“…1. Magnetic surface force equivalent spectrum from air-gap to yoke Moreover, recent publications [4,5] are looking for an equivalent magnetic surface force applied on the stator yoke neutral fiber as illustrated in Fig. 1.…”

Section: Tooth Modulation Effect (Mod)mentioning

confidence: 99%

“…In electrical machines, radial force is often much higher than the tangential force for lowest wavenumbers such that the cross-transfer C n can be accurately neglected in (5). However C n is generally neglected as well in ( 6) which can lead to incorrect estimation of tangential forces [3].…”

Section: A Transfer Of Surface Forcesmentioning

confidence: 99%

Study of the Combined Effects of the Air-Gap Transfer for Maxwell Tensor and the Tooth Mechanical Modulation in Electrical Machines

Pile

Menach

Besnerais³

et al. 2020

IEEE Trans. Magn.

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The Maxwell Tensor (MT) method is widely used to compute global forces or local surface forces for vibroacoustic design of electrical machines under electromagnetic excitation. In particular the air-gap Maxwell Tensor method is based on a cylindrical shell in the middle of the air-gap. This paper proposes to quantify the differences between the air-gap MT and the magnetic force wave experienced by the stator. In particular the air-gap to stator transfer and the tooth mechanical modulation effects are studied. A new formula is proposed to extend the tooth modulation effect to tangential forces. A numerical application is performed with a turbo-alternator to illustrate the respective and combined effects of both phenomena. The paper highlights that the tooth mechanical modulation is relevant even for electrical machines with a high number of teeth. Additionally the combination of the two phenomena has a clear impact on the calculated surface force. Therefore, it is recommended to take into account the air-gap transfer for any study of the tooth mechanical modulation effect.

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“…However, the influence of the stator tooth structure can be considered as an equivalent mechanical modulation on the ERFD components. The demonstration and comprehensive analysis of such modulation effect in induction machine dates back to nearly 40 years ago [23].The recent revival of stator tooth modulation effect on electromagnetic radial force has been based on PMSMs with both FSCW [24] and integralslot configurations [25]. Additionally, the noticeable effect of local tangential force on vibration performance in FSCW PMSM has been investigated [26].…”

Section: Introductionmentioning

confidence: 99%

Analytical Study of Stator Tooth Modulation on Electromagnetic Radial Force in Permanent Magnet Synchronous Machines

Liang¹,

Wang²,

Luk

et al. 2021

IEEE Trans. Ind. Electron.

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The electromagnetic radial force acting on the stator inner periphery will induce radial vibration and acoustic noise in permanent magnet synchronous machines. The radial force components are transmitted through the stator teeth to the yoke to introduce deformations. The influence of the stator tooth structure can be considered as an equivalent mechanical modulation effect on these electromagnetic radial force components. As a result, high-order electromagnetic radial force components can be modulated and potentially result in eminent stator low-mode vibration. In this paper, an analytical model is developed to offer an intuitive knowledge of stator tooth modulation effect on electromagnetic radial force. The validity of the proposed analytical method has been underpinned by both finite element analysis and experimental results. Such an effective yet simple analytical model can be of significant benefit for the stator radial vibration analysis. It can be employed to not only promptly investigate the stator radial vibration characteristics but also perform effective optimization on stator radial vibration reduction in permanent magnet synchronous machines.

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Analysis of Zeroth-Mode Slot Frequency Vibration of Integer Slot Permanent-Magnet Synchronous Motors

Cited by 83 publications

References 19 publications

Influence of Salient Effect on Air-Gap Flux Density Distribution of Interior Permanent-Magnet Synchronous Machines

Influence of Salient Effect on Air-Gap Flux Density Distribution of Interior Permanent-Magnet Synchronous Machines

Study of the Combined Effects of the Air-Gap Transfer for Maxwell Tensor and the Tooth Mechanical Modulation in Electrical Machines

Analytical Study of Stator Tooth Modulation on Electromagnetic Radial Force in Permanent Magnet Synchronous Machines

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