Analytical calculation of magnetic field in surface-mounted permanent-magnet machines with air-gap eccentricity

Faiz, Jawad; Hassanzadeh, Mohammadreza; Kiyoumarsi, Arash

doi:10.1108/compel-07-2018-0284

Cited by 6 publications

(6 citation statements)

References 20 publications

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“…In the present work, these are calculated separately for the eddy-currents evaluation, which require individual self-inductance calculation as defined in Eqs. (28) and (29). Also, Eq.…”

Section: Retaining Sleeve Winding and Eddy-current Reaction Fieldmentioning

confidence: 99%

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Improved Semi-Analytical Magnetic Field Solution for High-Speed Permanent-Magnet Machines With Permeable Retaining Sleeve Including Diffusion Effect

Mendonça¹,

Maia²,

Filho³

2020

PIER B

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This work presents a novel semi-analytical model for magnetic field calculation in a highspeed surface-mounted permanent-magnet machine with conducting and permeable retaining sleeve. The retaining sleeve with conducting material and non-homogeneous permeability affects the machine electromagnetic performance by altering main flux inductance and developed torque profile. This performance deviation can be attributed to eddy-current reaction field and saturation, the latter occurring due to pole-to-pole leakage flux. Saturation is modeled with a space-varying relative permeability, expressed as a Fourier series. Eddy-currents are evaluated with an auxiliary winding, defined as a surface current density in the conducting region. The proposed method is based on well-established Maxwell-Fourier method. This permits other analysis, such as slotting effect through subdomain technique. The assumptions considered for the developed semi-analytical solution in two-dimensional problem are presented in depth and confronted with finite-element method results, confirming validity of proposed methodology.

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“…In the present work, these are calculated separately for the eddy-currents evaluation, which require individual self-inductance calculation as defined in Eqs. (28) and (29). Also, Eq.…”

Section: Retaining Sleeve Winding and Eddy-current Reaction Fieldmentioning

confidence: 99%

“…The Maxwell-Fourier method is still of great interest, being studied and improved [20,28,29]. It can be adopted to evaluate magnetic field distribution in a wide range of machine topologies [30,31].…”

Section: Introductionmentioning

confidence: 99%

Improved Semi-Analytical Magnetic Field Solution for High-Speed Permanent-Magnet Machines With Permeable Retaining Sleeve Including Diffusion Effect

Mendonça¹,

Maia²,

Filho³

2020

PIER B

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“…Other key geometric parameters include R r , the rotor yoke surface's radius; R m , the PM’s surface radius; R si , the stator inner surface radius; and R so , the stator yoke surface radius (Fu and Zhu, 2012; Faiz et al , 2019).…”

Section: Magnetic Field Modelmentioning

confidence: 99%

Analytical calculation and finite element evaluation of electromagnetic leakage field distribution in surface-mounted permanent magnet synchronous motors taking the rotor eccentricity effect into account

Mortezaei

Aliabadi

Javadi

2021

COMPEL

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Purpose The purpose of this paper is to present an analytical calculation for estimating the leakages field distribution in surface-mounted permanent magnet synchronous motors (SMPMSMs) according to a sub-domain field model for eccentricity fault detection. Design/methodology/approach The magnetic field domain is classified into four sub-domains of PMs, air gap, stator core and outer region. In the proposed method, the governing equations taking the rotor eccentricity effect into account per region and the interface boundary conditions between sub-domains are formulated using the regular perturbation technique, Taylor series and Fourier series expansion. Maxwell's equations are solved in different regions in the polar coordinate system regarding the boundary conditions. Findings The radial and tangential components of electromagnetic field distribution in all sub-domains of one SMPMSM are obtained using the proposed method analytically. Finite element analysis is used to validate the results of the proposed method; the results indicated that the analytical model matches the finite-element prediction up to 30% eccentricity, except for some peak values that depend on the harmonic order value. The results of this paper demonstrated that in the event of eccentricity, an asymmetric magnetic field is generated in the outer region of the machine. Although its amplitude is small, it can be an indicator for detecting eccentricity faults from the outside environment of the machine. Originality/value The formulas presented in this paper can be applied as a new technique for detecting eccentricity faults in these motors from the outside environment.

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“…Gao et al studied the effect of unbalanced magnetic pull and mass eccentricity on the vibration of the motorized spindle but did not consider the influence of the gyro torque [11]. Faiz et al proposed an analysis method that combines the concept of double penetration and superposition, which can predict the air gap magnetic field distribution of a surface-mounted permanent magnet motor with an eccentric air gap [12]. Xu et al studied the nonlinear response of the rotor when the rotor is eccentric [13].…”

Section: Introductionmentioning

confidence: 99%

Study on the Unbalanced Fault Dynamic Characteristics of Eccentric Motorized Spindle considering the Effect of Magnetic Pull

Wang

et al. 2021

Shock and Vibration

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Unbalanced fault is the most common fault of high-speed motorized spindle, which is the main factor affecting the machining accuracy of high-speed spindle. Due to the unbalanced magnetic pull produced by the air gap eccentricity of the stator and rotor, the unbalanced vibration of the motorized spindle will be further aggravated. In order to explore the dynamic behavior and motion law of the unbalanced fault motorized spindle under the eccentric state, a dynamic model of the unbalanced fault of the high-speed motorized spindle considering the unbalanced magnetic pull was established. Taking the eccentric motorized spindle customized by the research group as the research object, the dynamic model is established, simulated, and analyzed, and the response change law of motorized spindle under the effect of different speed, unbalance, and air gap is obtained. The simulation results show that the unbalanced magnetic pull caused by static eccentricity will increase the unbalanced vibration of motorized spindle, and the unbalanced vibration will also increase with the increase of static eccentricity. The vibration caused by unbalanced magnetic pull does not increase with the increase of rotating speed. In frequency-domain analysis, when there is unbalanced magnetic pull, the peak appears at 0 Hz, and the amplitude of fundamental frequency vibration will increase with the increase of eccentricity. The experimental results show that the greater the eccentricity is, the greater the unbalance vibration of the motorized spindle is. The experimental results are consistent with the simulation results, which further verify the accuracy of the model. The research results lay a theoretical basis for fault analysis and diagnosis of coupling fault motorized spindle.

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Analytical calculation of magnetic field in surface-mounted permanent-magnet machines with air-gap eccentricity

Cited by 6 publications

References 20 publications

Improved Semi-Analytical Magnetic Field Solution for High-Speed Permanent-Magnet Machines With Permeable Retaining Sleeve Including Diffusion Effect

Improved Semi-Analytical Magnetic Field Solution for High-Speed Permanent-Magnet Machines With Permeable Retaining Sleeve Including Diffusion Effect

Analytical calculation and finite element evaluation of electromagnetic leakage field distribution in surface-mounted permanent magnet synchronous motors taking the rotor eccentricity effect into account

Study on the Unbalanced Fault Dynamic Characteristics of Eccentric Motorized Spindle considering the Effect of Magnetic Pull

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