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Edge element computations of eddy currents in laminated materials
We studied different types of edge elements in three-dimensional computations of power dissipation in laminated conductors. The standard, lowest order (mixed first and zeroth order) basis on tetrahedral grids produces inaccurate results and grossly overestimates the losses. However, on hexahedral gr...
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Published in: | IEEE transactions on magnetics 2003-05, Vol.39 (3), p.1758-1765 |
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container_title | IEEE transactions on magnetics |
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creator | Yueqiang Liu Bondeson, A. Bergstrom, R. Larson, M.G. Samuelsson, K. |
description | We studied different types of edge elements in three-dimensional computations of power dissipation in laminated conductors. The standard, lowest order (mixed first and zeroth order) basis on tetrahedral grids produces inaccurate results and grossly overestimates the losses. However, on hexahedral grids, aligned with the laminations, the standard edge elements give much more accurate results. If the grid cannot be aligned with the laminations, the dissipation can still be accurately computed with the lowest order hexahedral elements by using midpoint integration. Tetrahedral grids give accurate results if the complete first order basis is included, but this doubles the number of degrees of freedom. |
doi_str_mv | 10.1109/TMAG.2003.809843 |
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The standard, lowest order (mixed first and zeroth order) basis on tetrahedral grids produces inaccurate results and grossly overestimates the losses. However, on hexahedral grids, aligned with the laminations, the standard edge elements give much more accurate results. If the grid cannot be aligned with the laminations, the dissipation can still be accurately computed with the lowest order hexahedral elements by using midpoint integration. Tetrahedral grids give accurate results if the complete first order basis is included, but this doubles the number of degrees of freedom.</description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/TMAG.2003.809843</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Alignment ; Anisotropic magnetoresistance ; Applied classical electromagnetism ; Bonding ; Computation ; Conducting materials ; Conductors ; Degrees of freedom ; Dissipation ; Eddy currents ; Electric potential ; Electromagnetism; electron and ion optics ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Lamination ; Magnetic anisotropy ; Magnetism ; Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems ; Mathematical analysis ; Mathematics ; Perpendicular magnetic anisotropy ; Physics ; Power dissipation</subject><ispartof>IEEE transactions on magnetics, 2003-05, Vol.39 (3), p.1758-1765</ispartof><rights>2003 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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The standard, lowest order (mixed first and zeroth order) basis on tetrahedral grids produces inaccurate results and grossly overestimates the losses. However, on hexahedral grids, aligned with the laminations, the standard edge elements give much more accurate results. If the grid cannot be aligned with the laminations, the dissipation can still be accurately computed with the lowest order hexahedral elements by using midpoint integration. Tetrahedral grids give accurate results if the complete first order basis is included, but this doubles the number of degrees of freedom.</description><subject>Alignment</subject><subject>Anisotropic magnetoresistance</subject><subject>Applied classical electromagnetism</subject><subject>Bonding</subject><subject>Computation</subject><subject>Conducting materials</subject><subject>Conductors</subject><subject>Degrees of freedom</subject><subject>Dissipation</subject><subject>Eddy currents</subject><subject>Electric potential</subject><subject>Electromagnetism; electron and ion optics</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Lamination</subject><subject>Magnetic anisotropy</subject><subject>Magnetism</subject><subject>Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Perpendicular magnetic anisotropy</subject><subject>Physics</subject><subject>Power dissipation</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKt3wcsiqKetk02ySY6l1CpUvNRziNlEUvajJruH_nuztFDw4CVDmOcdZh6EbjHMMAb5vHmfr2YFAJkJkIKSMzTBkuIcoJTnaAKARS5pSS_RVYzb9KUMwwTNl9W3zWxtG9v2mema3dDr3ndtzDqX2araZ2YIITVj5tus1o1vdW-rrElv8LqO1-jCpWJvjnWKPl-Wm8Vrvv5YvS3m69wQgfvcGGEYEYSAo46UVoMj-gukA8ks1wxEialOa5VEV1xIXnBOCk4xd9oIKMgUPR3m7kL3M9jYq8ZHY-tat7YbopLAJWNjfooe_yULUTDCKSTw_g-47YbQpiuUSApp2oAnCA6QCV2MwTq1C77RYa8wqFG9GtWrUb06qE-Rh-NcHY2uXdCt8fGUo1wwgWXi7g6ct9ae2lgKUgryC9NEikk</recordid><startdate>20030501</startdate><enddate>20030501</enddate><creator>Yueqiang Liu</creator><creator>Bondeson, A.</creator><creator>Bergstrom, R.</creator><creator>Larson, M.G.</creator><creator>Samuelsson, K.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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The standard, lowest order (mixed first and zeroth order) basis on tetrahedral grids produces inaccurate results and grossly overestimates the losses. However, on hexahedral grids, aligned with the laminations, the standard edge elements give much more accurate results. If the grid cannot be aligned with the laminations, the dissipation can still be accurately computed with the lowest order hexahedral elements by using midpoint integration. Tetrahedral grids give accurate results if the complete first order basis is included, but this doubles the number of degrees of freedom.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TMAG.2003.809843</doi><tpages>8</tpages></addata></record> |
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subjects | Alignment Anisotropic magnetoresistance Applied classical electromagnetism Bonding Computation Conducting materials Conductors Degrees of freedom Dissipation Eddy currents Electric potential Electromagnetism electron and ion optics Exact sciences and technology Fundamental areas of phenomenology (including applications) Lamination Magnetic anisotropy Magnetism Magnetostatics magnetic shielding, magnetic induction, boundary-value problems Mathematical analysis Mathematics Perpendicular magnetic anisotropy Physics Power dissipation |
title | Edge element computations of eddy currents in laminated materials |
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