Analytical Model of Slotless Brushless PM Linear Motors Considering Different Magnetization Patterns

Rahideh

Int Trans Electr Energ Syst

et al. 2020

Self Cite

Summary This article compares the 2‐D and 0‐D analytical models for the slotless double‐sided inner armature linear permanent magnet synchronous machines (SDSIALPMSMs). The sub‐domain method is implemented to achieve the 2‐D analytical model. In this method, the cross‐section of the motor is divided into eleven sub‐regions and the Maxwell equations are determined for each sub‐region. In the presented 0‐D model, a magnetic equivalent circuit (MEC) is derived to compute the maximum magnetic flux density in the air‐gap. In both approaches, the magnetic flux density is analytically calculated to predict the inductance, induced voltage, flux linkage and electromagnetic forces. Ultimately, the results of both analytical models are validated against those of the 3‐D finite‐element method (FEM) analysis. These results confirm the superiority of the 2‐D analytical model compared with that of the 0‐D in the terms of the accuracy of the magnetic flux density, induced voltage, self and mutual inductances as well as the tangential and normal electromagnetic forces. Also, less computational time of the described 2‐D analytical model is recognized as a merit compared with FEM models.

Section: Methodsologymentioning

confidence: 99%

Section: Validation Of the Proposed Analytical Models Against Thementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Comparison between 2‐D and 0‐D analytical models for slotless double‐sided inner armature linear permanent magnet synchronous machines

Rahideh

Int Trans Electr Energ Syst

et al. 2020

Self Cite

IET Electric Power Applications

“…SDM is a semi-analytical method that consists of dividing the problem into the physical regions named subdomains. Then Maxwell's equations are solved analytically in each sub-domain [17][18][19][20]. This method gives accurate results when the slotting effect must be taken into account.…”

Section: Introductionmentioning

confidence: 99%

Design optimisation of an axial‐flux reluctance magnetic coupling based on a two‐dimensional semi‐analytical model

Lubin

Vahaj

Rahideh

2020

In this paper, design optimization of an axial flux reluctance magnetic coupling is presented. The optimal design procedure is based on a 2-D semi-analytical model defined at the mean radius combined with a multi-objective genetic algorithm (NSGA-II). In order to take into account the end-effects in the radial direction, a correction factor is defined to improve the torque and the axial force determination. The obtained results are compared with those of 3-D nonlinear finite element simulations and experimental results. It is shown that the proposed semi-analytical model is very accurate and requires very little computing time.

“…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.