Magnetic modeling of a Linear Synchronous Machine with the spectral element method

M. Curti, J.J.H. Paulides, E. Lomonova

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4 Citations (Scopus)
34 Downloads (Pure)


The field calculus for electrical machines (EMs) is realized solving subdomain problems. Most often, the latter are solved using either finite element analysis (FEA) or the semi-analytical solution of a Laplace or Poisson equation obtained by separation of variables. The first option can capture complex geometries but becomes slow for high accuracy, whereas the second is fast but limited to simple periodic geometries and linear or infinite permeable materials. This paper presents the 2-D implementation of the spectral element method (SEM) for the modeling of EMs. The polynomial basis functions used to approximate the solution in each domain are reaching exponential convergence similar to the semi-analytical solution. Moreover, each element can be represented by a non-square shape resulting in the possibility to model complex geometries. Following the results in this paper, significantly fewer degrees of freedom are needed for the SEM to achieve the approximation similar to the FEA, and consequently less memory and computational time are required.
Original languageEnglish
Title of host publicationSelected Papers from the International Magnetics Conference (INTERMAG 2017), Dublin, Ireland, April 24-28, 2017
PublisherIEEE Press
Number of pages6
Publication statusPublished - Nov 2017
Event2017 IEEE International Magnetics Conference, INTERMAG 2017 - Convention Centre Dublin, Dublin, Ireland
Duration: 24 Apr 201728 Apr 2017
Conference number: 2017

Publication series

NameIEEE Transactions on Magnetics
ISSN (Print)0018-9464
ISSN (Electronic)1941-0069


Conference2017 IEEE International Magnetics Conference, INTERMAG 2017
Abbreviated titleINTERMAG
Internet address


  • Spectral Element Method
  • Finite Element Method (FEM)
  • Linear Machine
  • spectral element method (SEM)
  • finite element method (FEM)
  • sub-domain method
  • Electrical machine (EM)


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