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

Abstract

 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.

2‐D analytical magnetic model for optimal design of an outer rotor permanent magnet synchronous machine

“… Outer rotor PM synchronous machine: (a) Subdomains of the machine [5]; (b) Constituent parts of the machine …”

Two-dimensional analytical model for five-phase fault-tolerant permanent-magnet vernier machines

“…The governing partial differential equations (PDEs) are derived from Ampere’s law and Gauss’s law as explained by Vahaj et al (2019); the PDEs can be derived as: where µ 0 is the free space permeability, µ r is the relative permeability of the medium, J is the armature current density vector and M is the magnetization vector in (A/m). Because of the 2D analysis in polar coordinates, A = [0,0, A z ( r , θ )], M = [ M r ( θ ), M θ ( θ ),0] and J = [0,0, J z ( r , θ )].…”

“…The governing partial differential equations (PDEs) are derived from Ampere's law and Gauss's law as explained by Vahaj et al (2019); the PDEs can be derived as:…”

Analytical prediction of electromagnetic performance of dual-stator consequent-pole PM machines based on subdomain model accounting for tooth-tips

“…Besides, as the subdomain model considering the tooth-tips effect can predict the flux density and vector potential in slot area with excellent accuracy, the phase flux linkage can be accurately calculated by surface integral of vector potential in regions of slots. Therefore, the phase induced voltage and winding inductances can be calculated based on the phase flux linkage (Miller et al, 1999;Bellara et al, 2009;Dubas and Rahideh, 2014;Oner et al, 2016;Vahaj et al, 2019;Hajdinjak and Miljavec, 2020). Regarding the consideration of saturation effect in subdomain model (Roubache et al, 2018;Dubas and Boughrara, 2017;Boughrara et al, 2018;Roubache et al, 2019;Wu et al, 2020), it has also been investigated in several literatures and will not been the main focus of this paper.…”