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2015 | OriginalPaper | Chapter

81. Analysis of the Magnetic Field Homogeneity of Two Different Geometric Configurations of the Helmholtz Coils by Simulation

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Abstract

In order to make a more direct and profound comparison of the magnetic fields generated in the central region of the circular Helmholtz coils and the square Helmholtz coils, simulation was conducted regarding the magnetic fields generated in these two situations respectively. The basic theory of magnetic fields generated by square and circular coils along their longitudinal axes is given in Sect. 1 of this chapter. Subsequently, the results of simulation adopting the finite element method (FEM) are compared with the theoretical value, which shows that the simulated result is well consistent with the theoretical data. A mean error of as low as 0.78 % in the range of |y| < 20 mm along the longitudinal axis of the circular Helmholtz coil is obtained while the corresponding result of square Helmholtz coil is merely under 1.03 %. Finally, it is concluded that the square Helmholtz coils can generate a larger uniform magnetic field.

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Literature
1.
go back to reference Song Q, Wang W, Zhang J. Study on the uniform magnetic field in Helmholtz coils by simulation. Saf EMC. 2010;(2):61–4 (In Chinese). Song Q, Wang W, Zhang J. Study on the uniform magnetic field in Helmholtz coils by simulation. Saf EMC. 2010;(2):61–4 (In Chinese).
2.
go back to reference Malik B. Electric field calculations by numerical techniques. Rourkela: National Institute of Technology Rourkela. 2009. Malik B. Electric field calculations by numerical techniques. Rourkela: National Institute of Technology Rourkela. 2009.
3.
go back to reference Boughrara K, Ibtiouen R, Touhami O, Zarko D. Analytical and numerical calculation of magnetic field distribution in the slotted air-gap of tangential surface permanent-magnet motors. Serb J Electr Eng. 2009;6(1):15–31.CrossRef Boughrara K, Ibtiouen R, Touhami O, Zarko D. Analytical and numerical calculation of magnetic field distribution in the slotted air-gap of tangential surface permanent-magnet motors. Serb J Electr Eng. 2009;6(1):15–31.CrossRef
4.
go back to reference Wimmer G, Clemens M, Lang J. Calculation of magnetic fields with finite elements. In: Breitner MH, Denk G, Rentrop P, editors. From Nano to Space. Berlin: Springer; 2008. pp. 111–24.CrossRef Wimmer G, Clemens M, Lang J. Calculation of magnetic fields with finite elements. In: Breitner MH, Denk G, Rentrop P, editors. From Nano to Space. Berlin: Springer; 2008. pp. 111–24.CrossRef
5.
go back to reference Bell GB, Marino AA. Exposure system for production of uniform magnetic fields. Electromagn Biol Med. 1989;8(2):147–58.CrossRef Bell GB, Marino AA. Exposure system for production of uniform magnetic fields. Electromagn Biol Med. 1989;8(2):147–58.CrossRef
6.
go back to reference Cvetkovic D, Cosic I. Modelling and design of extremely low frequency uniform magnetic field exposure apparatus for in vivo bioelectromagnetic studies. In IEEE EMBS 2007, IEEE. 2007. pp. 1675–8. Cvetkovic D, Cosic I. Modelling and design of extremely low frequency uniform magnetic field exposure apparatus for in vivo bioelectromagnetic studies. In IEEE EMBS 2007, IEEE. 2007. pp. 1675–8.
7.
go back to reference Wang J, She S, Zhang S. An improved Helmholtz Coil and analysis of its magnetic field homogeneity. Rev Sci Instrum. 2002;73(5):2175–79.CrossRef Wang J, She S, Zhang S. An improved Helmholtz Coil and analysis of its magnetic field homogeneity. Rev Sci Instrum. 2002;73(5):2175–79.CrossRef
8.
go back to reference Alvarez AFR, Franco-Mejia Edinson, Pinedo-Jaramillo CR. Study and analysis of magnetic field homogeneity of square and circular Helmholtz coil pairs: a taylor series approximation. In Andean Region International Conference (ANDESCON), 2012 VI, IEEE, 2012. pp. 77–80. Alvarez AFR, Franco-Mejia Edinson, Pinedo-Jaramillo CR. Study and analysis of magnetic field homogeneity of square and circular Helmholtz coil pairs: a taylor series approximation. In Andean Region International Conference (ANDESCON), 2012 VI, IEEE, 2012. pp. 77–80.
Metadata
Title
Analysis of the Magnetic Field Homogeneity of Two Different Geometric Configurations of the Helmholtz Coils by Simulation
Authors
Xiang Zhan
Guyin Rao
Jie Yuan
Yingying Li
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-13707-0_81