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

A Rahideh, Alireza Ghaffari, Arman Barzegar, Amin Mahmoudi

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


This paper presents a two-dimensional (2-D) analytical model for plannar linear permanent-magnet (PM) synchronous motors. The general and particular solutions are presented for a slotless single-sided linear PM synchronous motor as a case study. The governing partial differential equations of the motor are formulated for seven regions: Mover side exterior, mover back iron, PMs, air-gap, winding, stator back-iron, and stator-side exterior. Four different magnetization patterns, i.e., parallel, ideal Halbach, 2-segment Halbach, and bar magnets in shifting directions magnetization patterns are considered to calculate the tangential and normal components of the open-circuit magnetic flux density and armature reaction of the motor under the study. The winding-induced voltage, flux linkage, self- and mutual inductances, and normal and tangential components of forces are computed. The validity of the proposed technique is confirmed by comparing the analytical results with the results obtained from a 2-D finite-element analysis.

Original languageEnglish
Article number8365812
Pages (from-to)1797-1804
Number of pages8
Issue number4
Publication statusPublished - Dec 2018


  • 2-D Analytical Model
  • Magnetic Vector Potential
  • Maxwell equation
  • Planar Linear Motor
  • Slotless Machine


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