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Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array

Marilia A. da Silveira et al · Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo

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Author / responsible party
Marilia A. da Silveira et al
Publisher
Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo
ISSN
2179-1074
ISSN
2179-1074
Language
English

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Abstract This paper describes the application of the method of separation of variables and the use of Fourier series for solving the Laplace's and Poisson's equations on the study and analysis of the magnetic field produced in a linear motor with Halbach array. Equations for predicting the 2D magnetic flux density distribution produced in the air gap were developed. The model was validated by means of finite element analysis and by measurements carried on a prototype of the linear motor. Theoretical results helped understand the behaviour of the magnetic flux density in the air gap and to obtain the values of the static propulsion force and normal force in such machine.

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APA 7

al, M. A. D. S. E. (s. f.). Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array. https://doi.org/10.1590/2179-10742017v16i1878

MLA

al, Marilia A. da Silveira et. "Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array.". https://doi.org/10.1590/2179-10742017v16i1878.

Chicago

al, Marilia A. da Silveira et. s. f. "Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array.". https://doi.org/10.1590/2179-10742017v16i1878.

Harvard

al, M. A. D. S. E. s. f, Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array, Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo, available at: https://doi.org/10.1590/2179-10742017v16i1878 [Accessed 9 Aug. 2026].

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Title
Development of an Analytical Method to Predict the Behaviour of the Magnetic Field in PM Linear Motors with Halbach Array
Author / contributors
Marilia A. da Silveira et al
Publisher
Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo
ISSN
2179-1074
ISSN
2179-1074
Language
English

Subjects

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Analytical model; Fourier series; Halbach array; Laplace's and Poisson's equations; PM linear motor
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