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Computation of 3-D current driven skin effect problems using a current vector potential
A finite element formulation of current-driven eddy current problems in terms of a current vector potential and a magnetic scalar potential is developed. Since the traditional T- Omega method enforces zero net current in conductors, an impressed current vector potential T/sub 0/ is introduced in bot...
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Published in: | IEEE transactions on magnetics 1993-03, Vol.29 (2), p.1325-1328 |
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container_issue | 2 |
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container_title | IEEE transactions on magnetics |
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creator | Biro, O. Preis, K. Renhart, W. Vrisk, G. Richter, K.R. |
description | A finite element formulation of current-driven eddy current problems in terms of a current vector potential and a magnetic scalar potential is developed. Since the traditional T- Omega method enforces zero net current in conductors, an impressed current vector potential T/sub 0/ is introduced in both conducting and nonconducting regions, describing an arbitrary current distribution with the prescribed net current in each conductor. The function T/sub 0/ is represented by edge elements, while nodal elements are used to approximate the current vector potential and the magnetic scalar potential. The tangential component of T is set to zero on the conductor-nonconductor interfaces. The method is validated by computing the solution to an axisymmetric problem. Problems involving a coil with several turns wound around an iron core are solved.< > |
doi_str_mv | 10.1109/20.250642 |
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Since the traditional T- Omega method enforces zero net current in conductors, an impressed current vector potential T/sub 0/ is introduced in both conducting and nonconducting regions, describing an arbitrary current distribution with the prescribed net current in each conductor. The function T/sub 0/ is represented by edge elements, while nodal elements are used to approximate the current vector potential and the magnetic scalar potential. The tangential component of T is set to zero on the conductor-nonconductor interfaces. The method is validated by computing the solution to an axisymmetric problem. Problems involving a coil with several turns wound around an iron core are solved.< ></description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/20.250642</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>661300 - Other Aspects of Physical Science- (1992-) ; Applied sciences ; CALCULATION METHODS ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; Coils ; Conductors ; CURRENT DENSITY ; Current distribution ; CURRENTS ; EDDY CURRENTS ; ELECTRIC CONDUCTORS ; ELECTRIC CURRENTS ; Electrical engineering. Electrical power engineering ; ELEMENTS ; Exact sciences and technology ; FINITE ELEMENT METHOD ; Finite element methods ; IRON ; Magnetic cores ; MAGNETIC FIELDS ; METALS ; NUMERICAL SOLUTION ; POTENTIALS ; SKIN EFFECT ; THREE-DIMENSIONAL CALCULATIONS ; Transformers and inductors ; TRANSITION ELEMENTS ; Wounds</subject><ispartof>IEEE transactions on magnetics, 1993-03, Vol.29 (2), p.1325-1328</ispartof><rights>1994 INIST-CNRS</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c399t-7a1cd8d224932fbca630740a1950e6dd8e63fd78b3203c1db74738abc57241fd3</citedby><cites>FETCH-LOGICAL-c399t-7a1cd8d224932fbca630740a1950e6dd8e63fd78b3203c1db74738abc57241fd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/250642$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>230,310,311,315,786,790,795,796,891,23958,23959,25170,27957,27958,55147</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=3951464$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/6427199$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Biro, O.</creatorcontrib><creatorcontrib>Preis, K.</creatorcontrib><creatorcontrib>Renhart, W.</creatorcontrib><creatorcontrib>Vrisk, G.</creatorcontrib><creatorcontrib>Richter, K.R.</creatorcontrib><title>Computation of 3-D current driven skin effect problems using a current vector potential</title><title>IEEE transactions on magnetics</title><addtitle>TMAG</addtitle><description>A finite element formulation of current-driven eddy current problems in terms of a current vector potential and a magnetic scalar potential is developed. Since the traditional T- Omega method enforces zero net current in conductors, an impressed current vector potential T/sub 0/ is introduced in both conducting and nonconducting regions, describing an arbitrary current distribution with the prescribed net current in each conductor. The function T/sub 0/ is represented by edge elements, while nodal elements are used to approximate the current vector potential and the magnetic scalar potential. The tangential component of T is set to zero on the conductor-nonconductor interfaces. The method is validated by computing the solution to an axisymmetric problem. Problems involving a coil with several turns wound around an iron core are solved.< ></description><subject>661300 - Other Aspects of Physical Science- (1992-)</subject><subject>Applied sciences</subject><subject>CALCULATION METHODS</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>Coils</subject><subject>Conductors</subject><subject>CURRENT DENSITY</subject><subject>Current distribution</subject><subject>CURRENTS</subject><subject>EDDY CURRENTS</subject><subject>ELECTRIC CONDUCTORS</subject><subject>ELECTRIC CURRENTS</subject><subject>Electrical engineering. Electrical power engineering</subject><subject>ELEMENTS</subject><subject>Exact sciences and technology</subject><subject>FINITE ELEMENT METHOD</subject><subject>Finite element methods</subject><subject>IRON</subject><subject>Magnetic cores</subject><subject>MAGNETIC FIELDS</subject><subject>METALS</subject><subject>NUMERICAL SOLUTION</subject><subject>POTENTIALS</subject><subject>SKIN EFFECT</subject><subject>THREE-DIMENSIONAL CALCULATIONS</subject><subject>Transformers and inductors</subject><subject>TRANSITION ELEMENTS</subject><subject>Wounds</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><recordid>eNo9kEtLxDAUhYMoOD4Wbl0FEcFFx7z6yFLGJwy4UVyGNE002iY1SQf890Y6zOpyuN8993AAOMNoiTHiNwQtSYkqRvbAAnOGC4Qqvg8WCOGm4Kxih-Aoxq8sWYnRAryv_DBOSSbrHfQG0uIOqikE7RLsgt1oB-O3dVAbo1WCY_Btr4cIp2jdB5Q7dpO3PsDRp6ys7E_AgZF91KfbeQzeHu5fV0_F-uXxeXW7LhTlPBW1xKprOkIYp8S0SlYU1QxJzEukq65rdEVNVzctJYgq3LU1q2kjW1XWhGHT0WNwMfv6mKyIyiatPpV3LucRuYYac56hqxnK8X8mHZMYbFS676XTfoqCNIRW-WMGr2dQBR9j0EaMwQ4y_AqMxH-_giAx95vZy62pjEr2JkinbNwdUF7iXHfGzmfMaq13263HH4mUgXE</recordid><startdate>19930301</startdate><enddate>19930301</enddate><creator>Biro, O.</creator><creator>Preis, K.</creator><creator>Renhart, W.</creator><creator>Vrisk, G.</creator><creator>Richter, K.R.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>19930301</creationdate><title>Computation of 3-D current driven skin effect problems using a current vector potential</title><author>Biro, O. ; Preis, K. ; Renhart, W. ; Vrisk, G. ; Richter, K.R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c399t-7a1cd8d224932fbca630740a1950e6dd8e63fd78b3203c1db74738abc57241fd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>661300 - Other Aspects of Physical Science- (1992-)</topic><topic>Applied sciences</topic><topic>CALCULATION METHODS</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>Coils</topic><topic>Conductors</topic><topic>CURRENT DENSITY</topic><topic>Current distribution</topic><topic>CURRENTS</topic><topic>EDDY CURRENTS</topic><topic>ELECTRIC CONDUCTORS</topic><topic>ELECTRIC CURRENTS</topic><topic>Electrical engineering. Electrical power engineering</topic><topic>ELEMENTS</topic><topic>Exact sciences and technology</topic><topic>FINITE ELEMENT METHOD</topic><topic>Finite element methods</topic><topic>IRON</topic><topic>Magnetic cores</topic><topic>MAGNETIC FIELDS</topic><topic>METALS</topic><topic>NUMERICAL SOLUTION</topic><topic>POTENTIALS</topic><topic>SKIN EFFECT</topic><topic>THREE-DIMENSIONAL CALCULATIONS</topic><topic>Transformers and inductors</topic><topic>TRANSITION ELEMENTS</topic><topic>Wounds</topic><toplevel>online_resources</toplevel><creatorcontrib>Biro, O.</creatorcontrib><creatorcontrib>Preis, K.</creatorcontrib><creatorcontrib>Renhart, W.</creatorcontrib><creatorcontrib>Vrisk, G.</creatorcontrib><creatorcontrib>Richter, K.R.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>IEEE transactions on magnetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Biro, O.</au><au>Preis, K.</au><au>Renhart, W.</au><au>Vrisk, G.</au><au>Richter, K.R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Computation of 3-D current driven skin effect problems using a current vector potential</atitle><jtitle>IEEE transactions on magnetics</jtitle><stitle>TMAG</stitle><date>1993-03-01</date><risdate>1993</risdate><volume>29</volume><issue>2</issue><spage>1325</spage><epage>1328</epage><pages>1325-1328</pages><issn>0018-9464</issn><eissn>1941-0069</eissn><coden>IEMGAQ</coden><notes>ObjectType-Article-2</notes><notes>SourceType-Scholarly Journals-1</notes><notes>ObjectType-Feature-1</notes><notes>content type line 23</notes><abstract>A finite element formulation of current-driven eddy current problems in terms of a current vector potential and a magnetic scalar potential is developed. Since the traditional T- Omega method enforces zero net current in conductors, an impressed current vector potential T/sub 0/ is introduced in both conducting and nonconducting regions, describing an arbitrary current distribution with the prescribed net current in each conductor. The function T/sub 0/ is represented by edge elements, while nodal elements are used to approximate the current vector potential and the magnetic scalar potential. The tangential component of T is set to zero on the conductor-nonconductor interfaces. The method is validated by computing the solution to an axisymmetric problem. Problems involving a coil with several turns wound around an iron core are solved.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/20.250642</doi><tpages>4</tpages></addata></record> |
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subjects | 661300 - Other Aspects of Physical Science- (1992-) Applied sciences CALCULATION METHODS CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Coils Conductors CURRENT DENSITY Current distribution CURRENTS EDDY CURRENTS ELECTRIC CONDUCTORS ELECTRIC CURRENTS Electrical engineering. Electrical power engineering ELEMENTS Exact sciences and technology FINITE ELEMENT METHOD Finite element methods IRON Magnetic cores MAGNETIC FIELDS METALS NUMERICAL SOLUTION POTENTIALS SKIN EFFECT THREE-DIMENSIONAL CALCULATIONS Transformers and inductors TRANSITION ELEMENTS Wounds |
title | Computation of 3-D current driven skin effect problems using a current vector potential |
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