Analytical calculation of vibrations of electromagnetic origin in electrical machines

McCloskey, Alex; Arrasate, Xabier; Hernandez, Xabier; Gómez, Iratxo; Almandoz, Gaizka

doi:10.1016/j.ymssp.2017.04.050

Cited by 33 publications

(25 citation statements)

References 20 publications

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“…To analyse the effect of the design parameters, analytical calculations need to be considered. The analytical approach has proven to be a good alternative in terms of accuracy, as observed in [28,29].…”

Section: Analytical Calculation Of the Vibration Responsementioning

confidence: 99%

“…The amplitude of vibration for each mode is determined by the excitation frequencies and natural frequencies, and on the modal participation factor. This, in turn, is subjected to the mode shapes and the pressure distributions [29,31,32]. Consequently, the mode shapes and natural frequencies of the system are required, and can be calculated either by FE calculations or analytically.…”

Section: Analytical Calculation Of the Vibration Responsementioning

confidence: 99%

“…Considering the stator as a cylinder [29,31,32], for the radial pressure q kr and the radial mode shape U nmr , the modal force is obtained as…”

Section: Analytical Calculation Of the Vibration Responsementioning

confidence: 99%

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Optimum Slot and Pole Design for Vibration Reduction in Permanent Magnet Synchronous Motors

et al. 2021

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Permanent Magnet Synchronous Motors (PMSMs) are increasingly being used and are required to satisfy noise and vibration specifications. Thus, it is necessary to develop design guidelines for electric motors that consider vibration response as a key output of the design. This work shows the influence of the main design parameters regarding PMSMs: the number of slots and the number of poles. First, the influence of the number of slots in the natural frequencies is analysed by Finite Element calculations, which are experimentally verified. Then, the analytical calculation of the vibration response is explained. This is applied for several combinations of the number of slots and the number of poles, and the results are compared. Considering the analytical development, a procedure to choose the most adequate combination of the number of slots and poles is proposed. The analytical predictions are validated according to experimental measurements in two machines.

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Section: Analytical Calculation Of the Vibration Responsementioning

confidence: 99%

Section: Analytical Calculation Of the Vibration Responsementioning

confidence: 99%

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Optimum Slot and Pole Design for Vibration Reduction in Permanent Magnet Synchronous Motors

et al. 2021

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“…Electromagnetic generated noise has been the subject of research for several decades [2,3]. Most of the literature focuses on electric machines, transformers or reactors with an iron core [4].…”

Section: Introductionmentioning

confidence: 99%

Influence of the multi-component electrical feed of air-core industrial reactors on their sound radiation

2020

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High voltage devices such as dry-type air-core reactors are subjected to environmental noise standards. Their excitation is due to Lorentz forces originated from the magnetic field, created by the coil itself, combined with the feed current. The objective of this paper is to show how spectral components present in the supply current of industrial dry-type air-core reactors is likely to produce a significant acoustic radiation. First, the multi-component distribution of the Lorentz forces is established. Then, the multi-physics computation process allowing to determine the acoustic pressure induced by each force component is presented. Finally, two industrial reactors are studied: a single and a multi-layer coil. It is pointed out that significant acoustic emergence can be induced by the interaction between small current spectral components with the fundamental or with each other.

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“…The nonlinear vibration of stator and rotor system under eccentric air gap electromagnetic force has been widely concerned [4][5][6][7]. Multiple resonance is an important research direction in nonlinear vibration problems [3,8].…”

Section: Introductionmentioning

confidence: 99%

Triple resonances involving two frequencies in the motor frequency conversion start phase

Li¹,

Wu²,

Cai³

2020

Vib. proced.

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A rigid body model of torsional vibration of stator and rotor coupling system excited by electromagnetic force of motor is established in this paper. Energy method is introduced to solve the nonlinear vibration of the coupling system. Based on the linear part of the kinetic energy, potential energy and air gap magnetic field energy, the Lagrange function is obtained. And then, the Lagrange-Maxwell equation is used to solve natural characteristics. The nonlinear part is used to derive the nonlinear vibration equations of coupling system in torsional vibration modes. With numerical calculation, considering the triple resonances involving two natural frequencies, the influences of tuning parameters, damping coefficient and magnetic flux-density on resonance characteristics are illustrated and analyzed by the frequency-response curves. The results provide a theoretical basis for the subsequent calculation.

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Analytical calculation of vibrations of electromagnetic origin in electrical machines

Cited by 33 publications

References 20 publications

Optimum Slot and Pole Design for Vibration Reduction in Permanent Magnet Synchronous Motors

Optimum Slot and Pole Design for Vibration Reduction in Permanent Magnet Synchronous Motors

Influence of the multi-component electrical feed of air-core industrial reactors on their sound radiation

Triple resonances involving two frequencies in the motor frequency conversion start phase

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