An enhanced perturbation method for analysis of inductance
The inductance of a ferrite cup core inductor is the sum of two parts. One part is the self-inductance of the winding, The other dominant part can be called the residual inductance. We present a mathematical method for calculating the residual inductance from the geometry of the inductor and the per...
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| Veröffentlicht in: | IEEE transactions on magnetics 1980-09, Vol.16 (5), p.746-748 |
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| container_title | IEEE transactions on magnetics |
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| creator | Pannatoni, R. Wessling, R. |
| description | The inductance of a ferrite cup core inductor is the sum of two parts. One part is the self-inductance of the winding, The other dominant part can be called the residual inductance. We present a mathematical method for calculating the residual inductance from the geometry of the inductor and the permeability μ of the ferrite. The first step in the method is to develop a pair of perturbation series for the residual inductance, one series in powers of 1/μ, and the other series in powers of μ. The final step is to form a Padé approximant based on these series. The Padé approximant yields a uniformly valid approximation, whereas the series may diverge. We describe an application of the method, and discuss its convergence. |
| doi_str_mv | 10.1109/TMAG.1980.1060760 |
| format | Article |
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One part is the self-inductance of the winding, The other dominant part can be called the residual inductance. We present a mathematical method for calculating the residual inductance from the geometry of the inductor and the permeability μ of the ferrite. The first step in the method is to develop a pair of perturbation series for the residual inductance, one series in powers of 1/μ, and the other series in powers of μ. The final step is to form a Padé approximant based on these series. The Padé approximant yields a uniformly valid approximation, whereas the series may diverge. We describe an application of the method, and discuss its convergence.</description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/TMAG.1980.1060760</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>IEEE</publisher><subject>Convergence ; Ferrites ; Geometry ; Inductance ; Inductors ; Magnetic cores ; Magnetic flux ; Magnetic materials ; Permeability ; Perturbation methods</subject><ispartof>IEEE transactions on magnetics, 1980-09, Vol.16 (5), p.746-748</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c246t-d91541682cd422467ad411aa73b33b0ef67c3fdf9970b931309e2c2a6d67cb263</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1060760$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27923,27924,54757</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1060760$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Pannatoni, R.</creatorcontrib><creatorcontrib>Wessling, R.</creatorcontrib><title>An enhanced perturbation method for analysis of inductance</title><title>IEEE transactions on magnetics</title><addtitle>TMAG</addtitle><description>The inductance of a ferrite cup core inductor is the sum of two parts. One part is the self-inductance of the winding, The other dominant part can be called the residual inductance. We present a mathematical method for calculating the residual inductance from the geometry of the inductor and the permeability μ of the ferrite. The first step in the method is to develop a pair of perturbation series for the residual inductance, one series in powers of 1/μ, and the other series in powers of μ. The final step is to form a Padé approximant based on these series. The Padé approximant yields a uniformly valid approximation, whereas the series may diverge. We describe an application of the method, and discuss its convergence.</description><subject>Convergence</subject><subject>Ferrites</subject><subject>Geometry</subject><subject>Inductance</subject><subject>Inductors</subject><subject>Magnetic cores</subject><subject>Magnetic flux</subject><subject>Magnetic materials</subject><subject>Permeability</subject><subject>Perturbation methods</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1980</creationdate><recordtype>article</recordtype><recordid>eNpNkD1PwzAQhi0EEqXwAxCLJ7YUn-06MVtV0YJUxFJmy_GHGpTaxU6G_nsSpQPT6b33uRsehB6BLACIfNl_rrYLkNUQiSClIFdoBpJDQYiQ12hGCFSF5ILforucf4bIl0Bm6HUVsAsHHYyz-ORS16dad00M-Oi6Q7TYx4R10O05NxlHj5tge9ON_D268brN7uEy5-h787Zfvxe7r-3HerUrDOWiK6yEJQdRUWM5HTalthxA65LVjNXEeVEa5q2XsiS1ZMCIdNRQLexQ1FSwOXqe_p5S_O1d7tSxyca1rQ4u9lnRijO5pHwAYQJNijkn59UpNUedzgqIGi2p0ZIaLamLpeHmabppnHP_-Kn9A_fDYpE</recordid><startdate>19800901</startdate><enddate>19800901</enddate><creator>Pannatoni, R.</creator><creator>Wessling, R.</creator><general>IEEE</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>19800901</creationdate><title>An enhanced perturbation method for analysis of inductance</title><author>Pannatoni, R. ; Wessling, R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c246t-d91541682cd422467ad411aa73b33b0ef67c3fdf9970b931309e2c2a6d67cb263</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1980</creationdate><topic>Convergence</topic><topic>Ferrites</topic><topic>Geometry</topic><topic>Inductance</topic><topic>Inductors</topic><topic>Magnetic cores</topic><topic>Magnetic flux</topic><topic>Magnetic materials</topic><topic>Permeability</topic><topic>Perturbation methods</topic><toplevel>online_resources</toplevel><creatorcontrib>Pannatoni, R.</creatorcontrib><creatorcontrib>Wessling, R.</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on magnetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Pannatoni, R.</au><au>Wessling, R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An enhanced perturbation method for analysis of inductance</atitle><jtitle>IEEE transactions on magnetics</jtitle><stitle>TMAG</stitle><date>1980-09-01</date><risdate>1980</risdate><volume>16</volume><issue>5</issue><spage>746</spage><epage>748</epage><pages>746-748</pages><issn>0018-9464</issn><eissn>1941-0069</eissn><coden>IEMGAQ</coden><abstract>The inductance of a ferrite cup core inductor is the sum of two parts. One part is the self-inductance of the winding, The other dominant part can be called the residual inductance. We present a mathematical method for calculating the residual inductance from the geometry of the inductor and the permeability μ of the ferrite. The first step in the method is to develop a pair of perturbation series for the residual inductance, one series in powers of 1/μ, and the other series in powers of μ. The final step is to form a Padé approximant based on these series. The Padé approximant yields a uniformly valid approximation, whereas the series may diverge. We describe an application of the method, and discuss its convergence.</abstract><pub>IEEE</pub><doi>10.1109/TMAG.1980.1060760</doi><tpages>3</tpages></addata></record> |
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| ispartof | IEEE transactions on magnetics, 1980-09, Vol.16 (5), p.746-748 |
| issn | 0018-9464 1941-0069 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Convergence Ferrites Geometry Inductance Inductors Magnetic cores Magnetic flux Magnetic materials Permeability Perturbation methods |
| title | An enhanced perturbation method for analysis of inductance |
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