Mode-matching technique applied to three-dimensional magnetic field modeling

J.P.C. Smeets; T.T. Overboom; J.W. Jansen; E. Lomonova

doi:10.1109/TMAG.2012.2194478

Mode-matching technique applied to three-dimensional magnetic field modeling

J.P.C. Smeets, T.T. Overboom, J.W. Jansen, E. Lomonova

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Abstract

A semianalytical model is derived for the description of the three-dimensional magnetic fields, generated by an array of air-cored rectangular coils above a ferromagnetic plate with cavities, or bounded slots, in the $xy$-plane. The magnetic fields are described with a double Fourier series and are obtained by solving the Maxwell equations using a combination of the magnetic vector and scalar potentials. Mode-matching of the double Fourier series is applied to obtain the description of the magnetic fields inside the cavities. Therefore, the mode-matching technique is extended for two dimensions. The semianalytical model is compared with three-dimensional finite element analysis and a good agreement has been found.

Original language	English
Pages (from-to)	3383-3386
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	48
Issue number	11
DOIs	https://doi.org/10.1109/TMAG.2012.2194478
Publication status	Published - 2012

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10.1109/TMAG.2012.2194478

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title = "Mode-matching technique applied to three-dimensional magnetic field modeling",

abstract = "A semianalytical model is derived for the description of the three-dimensional magnetic fields, generated by an array of air-cored rectangular coils above a ferromagnetic plate with cavities, or bounded slots, in the $xy$-plane. The magnetic fields are described with a double Fourier series and are obtained by solving the Maxwell equations using a combination of the magnetic vector and scalar potentials. Mode-matching of the double Fourier series is applied to obtain the description of the magnetic fields inside the cavities. Therefore, the mode-matching technique is extended for two dimensions. The semianalytical model is compared with three-dimensional finite element analysis and a good agreement has been found.",

author = "J.P.C. Smeets and T.T. Overboom and J.W. Jansen and E. Lomonova",

year = "2012",

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AU - Smeets, J.P.C.

AU - Overboom, T.T.

AU - Jansen, J.W.

AU - Lomonova, E.

PY - 2012

Y1 - 2012

N2 - A semianalytical model is derived for the description of the three-dimensional magnetic fields, generated by an array of air-cored rectangular coils above a ferromagnetic plate with cavities, or bounded slots, in the $xy$-plane. The magnetic fields are described with a double Fourier series and are obtained by solving the Maxwell equations using a combination of the magnetic vector and scalar potentials. Mode-matching of the double Fourier series is applied to obtain the description of the magnetic fields inside the cavities. Therefore, the mode-matching technique is extended for two dimensions. The semianalytical model is compared with three-dimensional finite element analysis and a good agreement has been found.

AB - A semianalytical model is derived for the description of the three-dimensional magnetic fields, generated by an array of air-cored rectangular coils above a ferromagnetic plate with cavities, or bounded slots, in the $xy$-plane. The magnetic fields are described with a double Fourier series and are obtained by solving the Maxwell equations using a combination of the magnetic vector and scalar potentials. Mode-matching of the double Fourier series is applied to obtain the description of the magnetic fields inside the cavities. Therefore, the mode-matching technique is extended for two dimensions. The semianalytical model is compared with three-dimensional finite element analysis and a good agreement has been found.

U2 - 10.1109/TMAG.2012.2194478

DO - 10.1109/TMAG.2012.2194478

M3 - Article

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VL - 48

SP - 3383

EP - 3386

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 11

ER -

Mode-matching technique applied to three-dimensional magnetic field modeling

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