Slotted Permanent-Magnet Machines: General Analytical Model of Magnetic Fields, Torque, Eddy Currents, and Permanent-Magnet Power Losses Including the Diffusion Effect

Pfister, Pierre‐Daniel; Yin, Xin; Fang, Youtong

doi:10.1109/tmag.2015.2512528

Cited by 59 publications

(39 citation statements)

References 54 publications

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“…As one of the main goals of this work is to reduce the computational time of Fourier-based models, the following assumptions are limited to those in the majority of publications on analytical models [5]- [16]. A first, and very important, assumption is that the effect of the end windings can be neglected.…”

Section: B Assumptionsmentioning

confidence: 99%

“…This period is called the mechanical time period or the basic time period (T m ), it is the time the rotor needs to perform one revolution. Usually the magnetic field is expressed using auxiliary quantities such as the magnetic scalar potential (ψ) [5]- [7] or the magnetic vector potential (A) [8]- [16]. If the end effects are neglected, ψ and A are independent of z.…”

Section: Time-and Spatial-harmonic Ordersmentioning

confidence: 99%

“…The magnets will introduce synchronous harmonic combinations (n = k) that are present in the magnet distribution. For every present time-harmonic order n, the geometry will introduce spatial-harmonic orders that satisfy (16). The restriction on the harmonic combinations under no-load conditions can thus be summarized as:…”

Section: A No Loadmentioning

confidence: 99%

“…On the other hand, a variety of studies and applications require fast and accurate simulation of the magnetic field in an electrical machine. In that light a lot of research on Fourier-based models has been done lately [5]- [16]. Such models analytically compute the machine's magnetic field by expressing it as a summation of harmonic components.…”

Section: Introductionmentioning

confidence: 99%

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Time- and Spatial-Harmonic Content in Synchronous Electrical Machines

2016

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The use of power electronics has led to a growing importance of higher time-harmonic content in electrical machines. To gain insight in phenomena related to these higher harmonics, such as noise and losses, a good understanding of the magnetic field's harmonic content is mandatory. Moreover, the development of fast and accurate, harmonic-based, analytical models requires a qualitative knowledge of the machine's time-and spatial-harmonic content. Although the harmonic content of electric machines is an extensively studied topic, previous publications tended to focus on one type of synchronous machines and often didn't consider higher time-harmonic orders. This work complements the existing theory by providing a more general approach, thereby covering machines and operating points that weren't covered until now. It considers both three-phase and multi-phase machines with an odd number of phases. The winding distribution can either have an integer or a fractional number of slots per pole and per phase and higher time-harmonic content is regarded as well. Note that saturation is neglected. Despite its general validity, the work succeeds at providing one simple equation to determine the machine's time-and spatial-harmonic content. Moreover, the work also extensively discusses the physical causes of the harmonic content. The combination of this general validity, the simple result and the insight in the physics makes that this work is a strong tool to both study harmonic-related phenomena in electric machines and to develop harmonic-based analytical models.

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Section: B Assumptionsmentioning

confidence: 99%

Section: Time-and Spatial-harmonic Ordersmentioning

confidence: 99%

Section: A No Loadmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Time- and Spatial-Harmonic Content in Synchronous Electrical Machines

2016

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“…Various 2-D analytical models have been presented for different types of electrical machines such as rotary with inner rotor [18,22,23,25], [27][28][29][30][31][32][33][34][35][36][37][38][39][40] or outer rotor [21,24,41], planar [42] and axial machines [43], to obtain electromagnetic quantities such as electromagnetic torque or force, inductances, induced voltage and core losses [21,29,31,39]. In some papers, the presented 2-D analytical models are employed to optimally design an electric machine [23,32,35].…”

Section: Introductionmentioning

confidence: 99%

General Analytical Magnetic Model for Partitioned-Stator Flux-Reversal Machines With Four Types of Magnetization Patterns

Vahaj¹,

Rahideh²,

Lubin³

2019

IEEE Trans. Magn.

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 Abstract-A Partitioned Stator-Flux Reversal Permanent Magnet Machine (PS-FRPMM) is a new combination of a stator PM machine and a magnetically geared machine and has the specifications of both machines in terms of robust structure and torque density. In this paper a comprehensive 2-D analytical model is developed for PS-FRPMM based on subdomain technique. The presented model has the capability to accurately and quickly investigate the effects of design parameters on the machine performance. The 2-D analytical model is evaluated on two case studies with 12 stator teeth and 10 rotor poles, and 18 stator teeth and 13 rotor poles, with four different magnetization patterns. The influences of various design parameters such as the rotor slot width, slot opening width and the segment ratio of the PMs in the 2-segment magnetization pattern have been investigated on the quantities such as the instantaneous torque, torque ripple, Unbalanced Magnetic Force (UMF) and Electromotive Force (EMF). For evaluating the presented analytical model, 2-D Finite Element Method (FEM) with and without saturation effects has been used. The comparative study between the analytical and numerical models shows good agreement. Finally, a 3-D FEM has been used and the results of 2-D analytical model and 3-D FEM are compared in term of the accuracy and computational time. The results show that the presented model has lower computational time compared to the 2-D and 3-D FE method, while its accuracy is acceptable under different circumstances such as saturation.

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Stator core loss reduction strategy for PMSM based on transformation quasi-static electromagnetic

Li,

2025

Journal of Magnetism and Magnetic Materials

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Slotted Permanent-Magnet Machines: General Analytical Model of Magnetic Fields, Torque, Eddy Currents, and Permanent-Magnet Power Losses Including the Diffusion Effect

Cited by 59 publications

References 54 publications

Time- and Spatial-Harmonic Content in Synchronous Electrical Machines

Time- and Spatial-Harmonic Content in Synchronous Electrical Machines

General Analytical Magnetic Model for Partitioned-Stator Flux-Reversal Machines With Four Types of Magnetization Patterns

Stator core loss reduction strategy for PMSM based on transformation quasi-static electromagnetic

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