Computation of Back EMF for Axial Flux BLDC Motors by Using of Maxwell Equations

Document Type : Original Article

Abstract

In  this  paper  an  analytical  method  for  back  electromotive  force  (EMF)  calculation  of  axial  flux  brushless  DC
(BLDC) motors is presented. The analytical method uses Maxwell equations and solves Laplace’s equation in
several regions of motor. Laplace’s equation is solved in the rectangular coordinate system by using of Fourier
analysis and the method of separation of variables to give the scalar magnetic potentials, and then magnetic flux
density  is  calculated  by  using  of  scalar  magnetic  potentials.  Average  magnetic  flux  density  is  introduced  to
compute  back  EMF.  The  effect  of  flux  leakages  in  inner  and  outer  radii  is  considered  by  using  of  airgap
permeance  and  inner  and  outer  permeances  ratio.  The  proposed  analytical  method  gives  back  EMF  harmonic
components.  This  analytical  method  requires  less  computational  time  than  conventional  3D  finite  element
methods  and  is  therefore  suitable  for  designing  and  optimization  purposes.  The  proposed  analytical  model
validated by comparing its results to corresponding 3D finite element analysis. 

Keywords

References

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History

  • Receive Date: 11 November 2015
  • Revise Date: 06 March 2019
  • Accept Date: 19 September 2018

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