Equivalent Circuit Allowing Loss Separation Synthesized From Field Computations: Application to Induction Heating
This article presents a method to synthesize the equivalent circuit of an induction heating (IH) machine used in the hot strip mill (HSM) process. The equivalent circuit not only allows to evaluate eddy current losses in different forms, such as iron plate and coils, but also compute the transient r...
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Veröffentlicht in: | IEEE transactions on magnetics 2020-02, Vol.56 (2), p.1-5 |
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creator | Shimotani, Toshihito Igarashi, Hajime Hashimoto, Eiji Imanari, Hiroyuki |
description | This article presents a method to synthesize the equivalent circuit of an induction heating (IH) machine used in the hot strip mill (HSM) process. The equivalent circuit not only allows to evaluate eddy current losses in different forms, such as iron plate and coils, but also compute the transient responses in online environments. The frequency characteristic of the IH machine is effectively computed by proper orthogonal decomposition. The equivalent circuit of the IH is synthesized through curve fitting to the computed characteristics in conjunction with Tikhonov's regularization. The equivalent circuit is shown to have good accuracy and works much faster than the finite-element method. The proposed equivalent circuit is expected to be used in online control of the HSM process. |
doi_str_mv | 10.1109/TMAG.2019.2948570 |
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The equivalent circuit not only allows to evaluate eddy current losses in different forms, such as iron plate and coils, but also compute the transient responses in online environments. The frequency characteristic of the IH machine is effectively computed by proper orthogonal decomposition. The equivalent circuit of the IH is synthesized through curve fitting to the computed characteristics in conjunction with Tikhonov's regularization. The equivalent circuit is shown to have good accuracy and works much faster than the finite-element method. The proposed equivalent circuit is expected to be used in online control of the HSM process.</description><identifier>ISSN: 0018-9464</identifier><identifier>EISSN: 1941-0069</identifier><identifier>DOI: 10.1109/TMAG.2019.2948570</identifier><identifier>CODEN: IEMGAQ</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Cauer circuit ; Circuits ; Coils ; Coils (strip) ; Computation ; Current loss ; Curve fitting ; eddy current loss ; Eddy currents ; Equivalent circuits ; Finite element method ; genetic algorithm ; Hot strip mills ; Induction heating ; induction heating (IH) ; Iron ; Magnetism ; Mathematical model ; Nonlinear programming ; Proper Orthogonal Decomposition ; Regularization ; Steel ; Strip mills ; Synthesis ; Tikhonov’s regularization ; Transient response</subject><ispartof>IEEE transactions on magnetics, 2020-02, Vol.56 (2), p.1-5</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c380t-8c84b229b478da778fc367d84057fc9efb7a3bea87d3cd441cc883f64f7ce9d83</citedby><cites>FETCH-LOGICAL-c380t-8c84b229b478da778fc367d84057fc9efb7a3bea87d3cd441cc883f64f7ce9d83</cites><orcidid>0000-0002-0852-3231 ; 0000-0002-2950-5091</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8952906$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8952906$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Shimotani, Toshihito</creatorcontrib><creatorcontrib>Igarashi, Hajime</creatorcontrib><creatorcontrib>Hashimoto, Eiji</creatorcontrib><creatorcontrib>Imanari, Hiroyuki</creatorcontrib><title>Equivalent Circuit Allowing Loss Separation Synthesized From Field Computations: Application to Induction Heating</title><title>IEEE transactions on magnetics</title><addtitle>TMAG</addtitle><description>This article presents a method to synthesize the equivalent circuit of an induction heating (IH) machine used in the hot strip mill (HSM) process. The equivalent circuit not only allows to evaluate eddy current losses in different forms, such as iron plate and coils, but also compute the transient responses in online environments. The frequency characteristic of the IH machine is effectively computed by proper orthogonal decomposition. The equivalent circuit of the IH is synthesized through curve fitting to the computed characteristics in conjunction with Tikhonov's regularization. The equivalent circuit is shown to have good accuracy and works much faster than the finite-element method. The proposed equivalent circuit is expected to be used in online control of the HSM process.</description><subject>Cauer circuit</subject><subject>Circuits</subject><subject>Coils</subject><subject>Coils (strip)</subject><subject>Computation</subject><subject>Current loss</subject><subject>Curve fitting</subject><subject>eddy current loss</subject><subject>Eddy currents</subject><subject>Equivalent circuits</subject><subject>Finite element method</subject><subject>genetic algorithm</subject><subject>Hot strip mills</subject><subject>Induction heating</subject><subject>induction heating (IH)</subject><subject>Iron</subject><subject>Magnetism</subject><subject>Mathematical model</subject><subject>Nonlinear programming</subject><subject>Proper Orthogonal Decomposition</subject><subject>Regularization</subject><subject>Steel</subject><subject>Strip mills</subject><subject>Synthesis</subject><subject>Tikhonov’s regularization</subject><subject>Transient response</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kMtOwzAQRS0EEqXwAYiNJdYpfiW22UVVX1IRi5a1ldhOcZUmqZ2AyteTNojVaEbnzmgOAI8YTTBG8mX7li4mBGE5IZKJmKMrMMKS4QihRF6DEUJYRJIl7BbchbDvWxZjNALH2bFzX1lpqxZOndeda2FalvW3q3ZwXYcAN7bJfNa6uoKbU9V-2uB-rIFzXx_g3NnSwGl9aLr2goRXmDZN6fQQaGu4qkynL83S9sNqdw9uiqwM9uGvjsHHfLadLqP1-2I1TdeRpgK1kdCC5YTInHFhMs5FoWnCjWAo5oWWtsh5RnObCW6oNoxhrYWgRcIKrq00go7B87C38fWxs6FV-7rzVX9SEcoYYZIg0lN4oLTvn_W2UI13h8yfFEbqbFadzaqzWfVnts88DRlnrf3nhYyJRAn9BQWBduA</recordid><startdate>20200201</startdate><enddate>20200201</enddate><creator>Shimotani, Toshihito</creator><creator>Igarashi, Hajime</creator><creator>Hashimoto, Eiji</creator><creator>Imanari, Hiroyuki</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</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><orcidid>https://orcid.org/0000-0002-0852-3231</orcidid><orcidid>https://orcid.org/0000-0002-2950-5091</orcidid></search><sort><creationdate>20200201</creationdate><title>Equivalent Circuit Allowing Loss Separation Synthesized From Field Computations: Application to Induction Heating</title><author>Shimotani, Toshihito ; Igarashi, Hajime ; Hashimoto, Eiji ; Imanari, Hiroyuki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-8c84b229b478da778fc367d84057fc9efb7a3bea87d3cd441cc883f64f7ce9d83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Cauer circuit</topic><topic>Circuits</topic><topic>Coils</topic><topic>Coils (strip)</topic><topic>Computation</topic><topic>Current loss</topic><topic>Curve fitting</topic><topic>eddy current loss</topic><topic>Eddy currents</topic><topic>Equivalent circuits</topic><topic>Finite element method</topic><topic>genetic algorithm</topic><topic>Hot strip mills</topic><topic>Induction heating</topic><topic>induction heating (IH)</topic><topic>Iron</topic><topic>Magnetism</topic><topic>Mathematical model</topic><topic>Nonlinear programming</topic><topic>Proper Orthogonal Decomposition</topic><topic>Regularization</topic><topic>Steel</topic><topic>Strip mills</topic><topic>Synthesis</topic><topic>Tikhonov’s regularization</topic><topic>Transient response</topic><toplevel>online_resources</toplevel><creatorcontrib>Shimotani, Toshihito</creatorcontrib><creatorcontrib>Igarashi, Hajime</creatorcontrib><creatorcontrib>Hashimoto, Eiji</creatorcontrib><creatorcontrib>Imanari, Hiroyuki</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005–Present</collection><collection>IEEE All-Society Periodicals Package (ASPP) Online</collection><collection>IEEE/IET Electronic Library (IEL)</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><jtitle>IEEE transactions on magnetics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Shimotani, Toshihito</au><au>Igarashi, Hajime</au><au>Hashimoto, Eiji</au><au>Imanari, Hiroyuki</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Equivalent Circuit Allowing Loss Separation Synthesized From Field Computations: Application to Induction Heating</atitle><jtitle>IEEE transactions on magnetics</jtitle><stitle>TMAG</stitle><date>2020-02-01</date><risdate>2020</risdate><volume>56</volume><issue>2</issue><spage>1</spage><epage>5</epage><pages>1-5</pages><issn>0018-9464</issn><eissn>1941-0069</eissn><coden>IEMGAQ</coden><abstract>This article presents a method to synthesize the equivalent circuit of an induction heating (IH) machine used in the hot strip mill (HSM) process. The equivalent circuit not only allows to evaluate eddy current losses in different forms, such as iron plate and coils, but also compute the transient responses in online environments. The frequency characteristic of the IH machine is effectively computed by proper orthogonal decomposition. The equivalent circuit of the IH is synthesized through curve fitting to the computed characteristics in conjunction with Tikhonov's regularization. The equivalent circuit is shown to have good accuracy and works much faster than the finite-element method. The proposed equivalent circuit is expected to be used in online control of the HSM process.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TMAG.2019.2948570</doi><tpages>5</tpages><orcidid>https://orcid.org/0000-0002-0852-3231</orcidid><orcidid>https://orcid.org/0000-0002-2950-5091</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Cauer circuit Circuits Coils Coils (strip) Computation Current loss Curve fitting eddy current loss Eddy currents Equivalent circuits Finite element method genetic algorithm Hot strip mills Induction heating induction heating (IH) Iron Magnetism Mathematical model Nonlinear programming Proper Orthogonal Decomposition Regularization Steel Strip mills Synthesis Tikhonov’s regularization Transient response |
title | Equivalent Circuit Allowing Loss Separation Synthesized From Field Computations: Application to Induction Heating |
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