Three-dimensional analytical field calculation of pyramidal-frustum shaped permanent magnets

J.L.G. Janssen; J.J.H. Paulides; E. Lomonova

doi:10.1109/TMAG.2009.2021861

Three-dimensional analytical field calculation of pyramidal-frustum shaped permanent magnets

J.L.G. Janssen, J.J.H. Paulides, E. Lomonova

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Abstract

This paper presents a novel method to obtain fully analytical expressions of the magnetic field created by a pyramidal-frustum shaped permanent magnet. Conventional analytical tools only provide expressions for cuboidal permanent magnets and this paper extends these tools to more complex shapes. A novel analytical model for the magnetic field induced by triangular charged surfaces is combined with the field expressions for rectangular charged surfaces. This provides a fully analytical expression for the magnetic field of a pyramidal-frustum shaped permanent magnet. Field and force obtained using this model are validated with Finite Element Modeling.

Original language	English
Pages (from-to)	4628-4631
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	45
Issue number	10
DOIs	https://doi.org/10.1109/TMAG.2009.2021861
Publication status	Published - 2009

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title = "Three-dimensional analytical field calculation of pyramidal-frustum shaped permanent magnets",

abstract = "This paper presents a novel method to obtain fully analytical expressions of the magnetic field created by a pyramidal-frustum shaped permanent magnet. Conventional analytical tools only provide expressions for cuboidal permanent magnets and this paper extends these tools to more complex shapes. A novel analytical model for the magnetic field induced by triangular charged surfaces is combined with the field expressions for rectangular charged surfaces. This provides a fully analytical expression for the magnetic field of a pyramidal-frustum shaped permanent magnet. Field and force obtained using this model are validated with Finite Element Modeling.",

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AU - Janssen, J.L.G.

AU - Paulides, J.J.H.

AU - Lomonova, E.

PY - 2009

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AB - This paper presents a novel method to obtain fully analytical expressions of the magnetic field created by a pyramidal-frustum shaped permanent magnet. Conventional analytical tools only provide expressions for cuboidal permanent magnets and this paper extends these tools to more complex shapes. A novel analytical model for the magnetic field induced by triangular charged surfaces is combined with the field expressions for rectangular charged surfaces. This provides a fully analytical expression for the magnetic field of a pyramidal-frustum shaped permanent magnet. Field and force obtained using this model are validated with Finite Element Modeling.

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DO - 10.1109/TMAG.2009.2021861

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JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

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Three-dimensional analytical field calculation of pyramidal-frustum shaped permanent magnets

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