Calculating Mutual Inductance Between Circular Coils With Inclined Axes in Air
In this paper we present a lucid, easy, and accurate approach for calculation of the mutual inductance between all inclined circular coils with either rectangular cross section or negligible section. We use Grover's formula for the mutual inductance between two filamentary circular coils with i...
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| Veröffentlicht in: | IEEE transactions on magnetics 2008-07, Vol.44 (7), p.1743-1750 |
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| creator | Babic, S.I. Akyel, C. |
| description | In this paper we present a lucid, easy, and accurate approach for calculation of the mutual inductance between all inclined circular coils with either rectangular cross section or negligible section. We use Grover's formula for the mutual inductance between two filamentary circular coils with inclined axes that lie in the same plane. Their centers are either displaced along the axis of one coil or displaced along one axis of the first coil and then displaced sideways in addition. We apply the filament method for coil combinations comprising circular coils of rectangular cross section, thin wall solenoids, thin disk coils (pancakes), and filamentary circular coils. In this approach we clarify how Grover's formulas have to be used for different coil combinations in the filament treatment. Thus, two well-known methods (Grover's formulas and the filament method) can be easily used to calculate the mutual inductance between all inclined circular coils, even though the problem is purely three-dimensional. |
| doi_str_mv | 10.1109/TMAG.2008.920251 |
| format | Article |
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We use Grover's formula for the mutual inductance between two filamentary circular coils with inclined axes that lie in the same plane. Their centers are either displaced along the axis of one coil or displaced along one axis of the first coil and then displaced sideways in addition. We apply the filament method for coil combinations comprising circular coils of rectangular cross section, thin wall solenoids, thin disk coils (pancakes), and filamentary circular coils. In this approach we clarify how Grover's formulas have to be used for different coil combinations in the filament treatment. Thus, two well-known methods (Grover's formulas and the filament method) can be easily used to calculate the mutual inductance between all inclined circular coils, even though the problem is purely three-dimensional.</description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/TMAG.2008.920251</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Boundary element methods ; Circular coil of rectangular cross section ; Coaxial components ; Coils ; Cross sections ; Cross-disciplinary physics: materials science; rheology ; Displacement ; Exact sciences and technology ; filament method ; filamentary circular coil ; Filaments ; Inductance ; Magnetic fields ; Magnetism ; Materials science ; Mathematical analysis ; mutual inductance ; Other topics in materials science ; Physics ; Polynomials ; Power systems ; Solenoids ; thin disk coil (pancakes) ; thin wall solenoid ; Thin wall structures ; Thin walls</subject><ispartof>IEEE transactions on magnetics, 2008-07, Vol.44 (7), p.1743-1750</ispartof><rights>2009 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2008</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c383t-edcd1628a4c7095d833322264e4845d0c1df4991743fb6720e6b8383dab1a4c3</citedby><cites>FETCH-LOGICAL-c383t-edcd1628a4c7095d833322264e4845d0c1df4991743fb6720e6b8383dab1a4c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4520271$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4520271$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20444958$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Babic, S.I.</creatorcontrib><creatorcontrib>Akyel, C.</creatorcontrib><title>Calculating Mutual Inductance Between Circular Coils With Inclined Axes in Air</title><title>IEEE transactions on magnetics</title><addtitle>TMAG</addtitle><description>In this paper we present a lucid, easy, and accurate approach for calculation of the mutual inductance between all inclined circular coils with either rectangular cross section or negligible section. We use Grover's formula for the mutual inductance between two filamentary circular coils with inclined axes that lie in the same plane. Their centers are either displaced along the axis of one coil or displaced along one axis of the first coil and then displaced sideways in addition. We apply the filament method for coil combinations comprising circular coils of rectangular cross section, thin wall solenoids, thin disk coils (pancakes), and filamentary circular coils. In this approach we clarify how Grover's formulas have to be used for different coil combinations in the filament treatment. Thus, two well-known methods (Grover's formulas and the filament method) can be easily used to calculate the mutual inductance between all inclined circular coils, even though the problem is purely three-dimensional.</description><subject>Boundary element methods</subject><subject>Circular coil of rectangular cross section</subject><subject>Coaxial components</subject><subject>Coils</subject><subject>Cross sections</subject><subject>Cross-disciplinary physics: materials science; rheology</subject><subject>Displacement</subject><subject>Exact sciences and technology</subject><subject>filament method</subject><subject>filamentary circular coil</subject><subject>Filaments</subject><subject>Inductance</subject><subject>Magnetic fields</subject><subject>Magnetism</subject><subject>Materials science</subject><subject>Mathematical analysis</subject><subject>mutual inductance</subject><subject>Other topics in materials science</subject><subject>Physics</subject><subject>Polynomials</subject><subject>Power systems</subject><subject>Solenoids</subject><subject>thin disk coil (pancakes)</subject><subject>thin wall solenoid</subject><subject>Thin wall structures</subject><subject>Thin walls</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp90c1rFDEYBvAgCq61d6GXIGhPs775nOS4DvYDWntZ8BiymXdqSjpTkxmq_71ZtvTQQ08h5Pe8kPch5BODNWNgv22vN-drDmDWlgNX7A1ZMStZA6DtW7ICYKaxUsv35EMpd_UqFYMV-dn5FJbk5zje0utlXnyil2O_hNmPAel3nB8RR9rFvFeZdlNMhf6K8-_KQooj9nTzFwuNI93E_JG8G3wqePx0HpHt2Y9td9Fc3ZxfdpurJggj5gb70DPNjZehBat6I4TgnGuJ0kjVQ2D9IK1lrRTDTrccUO9MTfZ-x2pGHJHTw9iHPP1ZsMzuPpaAKfkRp6U40yrQGpSt8uurUkilZWtVhZ9fwLtpyWP9hDOa18VKwSqCAwp5KiXj4B5yvPf5n2Pg9jW4fQ1uX4M71FAjX57m-hJ8GnLdayzPOQ5SSqtMdScHFxHx-VmqOqVl4j96843t</recordid><startdate>20080701</startdate><enddate>20080701</enddate><creator>Babic, S.I.</creator><creator>Akyel, C.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20080701</creationdate><title>Calculating Mutual Inductance Between Circular Coils With Inclined Axes in Air</title><author>Babic, S.I. ; Akyel, C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c383t-edcd1628a4c7095d833322264e4845d0c1df4991743fb6720e6b8383dab1a4c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Boundary element methods</topic><topic>Circular coil of rectangular cross section</topic><topic>Coaxial components</topic><topic>Coils</topic><topic>Cross sections</topic><topic>Cross-disciplinary physics: materials science; rheology</topic><topic>Displacement</topic><topic>Exact sciences and technology</topic><topic>filament method</topic><topic>filamentary circular coil</topic><topic>Filaments</topic><topic>Inductance</topic><topic>Magnetic fields</topic><topic>Magnetism</topic><topic>Materials science</topic><topic>Mathematical analysis</topic><topic>mutual inductance</topic><topic>Other topics in materials science</topic><topic>Physics</topic><topic>Polynomials</topic><topic>Power systems</topic><topic>Solenoids</topic><topic>thin disk coil (pancakes)</topic><topic>thin wall solenoid</topic><topic>Thin wall structures</topic><topic>Thin walls</topic><toplevel>online_resources</toplevel><creatorcontrib>Babic, S.I.</creatorcontrib><creatorcontrib>Akyel, C.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on magnetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Babic, S.I.</au><au>Akyel, C.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Calculating Mutual Inductance Between Circular Coils With Inclined Axes in Air</atitle><jtitle>IEEE transactions on magnetics</jtitle><stitle>TMAG</stitle><date>2008-07-01</date><risdate>2008</risdate><volume>44</volume><issue>7</issue><spage>1743</spage><epage>1750</epage><pages>1743-1750</pages><issn>0018-9464</issn><eissn>1941-0069</eissn><coden>IEMGAQ</coden><abstract>In this paper we present a lucid, easy, and accurate approach for calculation of the mutual inductance between all inclined circular coils with either rectangular cross section or negligible section. We use Grover's formula for the mutual inductance between two filamentary circular coils with inclined axes that lie in the same plane. Their centers are either displaced along the axis of one coil or displaced along one axis of the first coil and then displaced sideways in addition. We apply the filament method for coil combinations comprising circular coils of rectangular cross section, thin wall solenoids, thin disk coils (pancakes), and filamentary circular coils. In this approach we clarify how Grover's formulas have to be used for different coil combinations in the filament treatment. Thus, two well-known methods (Grover's formulas and the filament method) can be easily used to calculate the mutual inductance between all inclined circular coils, even though the problem is purely three-dimensional.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TMAG.2008.920251</doi><tpages>8</tpages></addata></record> |
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| subjects | Boundary element methods Circular coil of rectangular cross section Coaxial components Coils Cross sections Cross-disciplinary physics: materials science rheology Displacement Exact sciences and technology filament method filamentary circular coil Filaments Inductance Magnetic fields Magnetism Materials science Mathematical analysis mutual inductance Other topics in materials science Physics Polynomials Power systems Solenoids thin disk coil (pancakes) thin wall solenoid Thin wall structures Thin walls |
| title | Calculating Mutual Inductance Between Circular Coils With Inclined Axes in Air |
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