A Compact 2-D Stochastic FDTD Method for Uncertainty Analysis in Superconducting Transmission Lines
In this article, a stochastic finite-difference time-domain (S-FDTD) method is proposed for analyzing the influence of physical size uncertainty on the time-domain response of superconducting transmission lines. The formulations of the proposed method are, in detail, derived with the two-fluid model...
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Veröffentlicht in: | IEEE transactions on applied superconductivity 2020-12, Vol.30 (8), p.1-7 |
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description | In this article, a stochastic finite-difference time-domain (S-FDTD) method is proposed for analyzing the influence of physical size uncertainty on the time-domain response of superconducting transmission lines. The formulations of the proposed method are, in detail, derived with the two-fluid model and London equation. A typical superconducting microstrip line is simulated to verify the effectiveness of the proposed algorithm. Compared with the Monte Carlo simulation, the proposed method has the same accuracy but much higher efficiency. The computation time of the proposed S-FDTD method is only about 3% of that of the Monte Carlo simulation. Therefore, the proposed method shows a promising prospect on predicting the variability in transmission line's performance caused by variation in superconducting manufacturing. |
doi_str_mv | 10.1109/TASC.2020.3006538 |
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The formulations of the proposed method are, in detail, derived with the two-fluid model and London equation. A typical superconducting microstrip line is simulated to verify the effectiveness of the proposed algorithm. Compared with the Monte Carlo simulation, the proposed method has the same accuracy but much higher efficiency. The computation time of the proposed S-FDTD method is only about 3% of that of the Monte Carlo simulation. Therefore, the proposed method shows a promising prospect on predicting the variability in transmission line's performance caused by variation in superconducting manufacturing.</description><identifier>ISSN: 1051-8223</identifier><identifier>EISSN: 1558-2515</identifier><identifier>DOI: 10.1109/TASC.2020.3006538</identifier><identifier>CODEN: ITASE9</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Algorithms ; Computer simulation ; Finite difference methods ; Finite difference time domain method ; Finite-difference time-domain (FDTD) ; Mathematical model ; Microstrip transmission lines ; Monte Carlo methods ; Monte Carlo simulation ; stochastic finite-difference time-domain (S-FDTD) method ; Stochastic processes ; superconducting transmission line ; Superconducting transmission lines ; Superconductivity ; Time domain analysis ; Transmission lines ; Two dimensional analysis ; Two fluid models ; Uncertainty ; Uncertainty analysis ; variance</subject><ispartof>IEEE transactions on applied superconductivity, 2020-12, Vol.30 (8), p.1-7</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c293t-1d01514409d319be1f7498071659efeeb90b8d4c7b073d61090c62046065b1513</citedby><cites>FETCH-LOGICAL-c293t-1d01514409d319be1f7498071659efeeb90b8d4c7b073d61090c62046065b1513</cites><orcidid>0000-0001-8724-6246 ; 0000-0002-3827-4053 ; 0000-0002-9857-535X ; 0000-0003-1455-2095</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9132709$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9132709$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Yang, Yifan</creatorcontrib><creatorcontrib>Li, Xiao-Chun</creatorcontrib><creatorcontrib>Li, Yan</creatorcontrib><creatorcontrib>Mao, Junfa</creatorcontrib><title>A Compact 2-D Stochastic FDTD Method for Uncertainty Analysis in Superconducting Transmission Lines</title><title>IEEE transactions on applied superconductivity</title><addtitle>TASC</addtitle><description>In this article, a stochastic finite-difference time-domain (S-FDTD) method is proposed for analyzing the influence of physical size uncertainty on the time-domain response of superconducting transmission lines. The formulations of the proposed method are, in detail, derived with the two-fluid model and London equation. A typical superconducting microstrip line is simulated to verify the effectiveness of the proposed algorithm. Compared with the Monte Carlo simulation, the proposed method has the same accuracy but much higher efficiency. The computation time of the proposed S-FDTD method is only about 3% of that of the Monte Carlo simulation. Therefore, the proposed method shows a promising prospect on predicting the variability in transmission line's performance caused by variation in superconducting manufacturing.</description><subject>Algorithms</subject><subject>Computer simulation</subject><subject>Finite difference methods</subject><subject>Finite difference time domain method</subject><subject>Finite-difference time-domain (FDTD)</subject><subject>Mathematical model</subject><subject>Microstrip transmission lines</subject><subject>Monte Carlo methods</subject><subject>Monte Carlo simulation</subject><subject>stochastic finite-difference time-domain (S-FDTD) method</subject><subject>Stochastic processes</subject><subject>superconducting transmission line</subject><subject>Superconducting transmission lines</subject><subject>Superconductivity</subject><subject>Time domain analysis</subject><subject>Transmission lines</subject><subject>Two dimensional analysis</subject><subject>Two fluid models</subject><subject>Uncertainty</subject><subject>Uncertainty analysis</subject><subject>variance</subject><issn>1051-8223</issn><issn>1558-2515</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kMFOwzAQRCMEEqXwAYiLJc4pu3acxMcopYBUxKHpOUoch7pq7WA7h_49qYqQVpo9zKx2XhQ9IiwQQbxUxaZcUKCwYAApZ_lVNEPO85hy5NfTDhzjnFJ2G915vwfAJE_4LJIFKe1xaGQgNF6STbBy1_igJVktqyX5VGFnO9JbR7ZGKhcabcKJFKY5nLz2RBuyGQflpDXdKIM236RyjfFH7b22hqy1Uf4-uumbg1cPfzqPtqvXqnyP119vH2WxjiUVLMTYAXJMEhAdQ9Eq7LNE5JBhyoXqlWoFtHmXyKyFjHXp1BpkSiFJp77tlGTz6Plyd3D2Z1Q-1Hs7uulVX9OE8hRxmsmFF5d01nun-npw-ti4U41Qn1nWZ5b1mWX9x3LKPF0yWin17xfIaAaC_QKPWW4S</recordid><startdate>20201201</startdate><enddate>20201201</enddate><creator>Yang, Yifan</creator><creator>Li, Xiao-Chun</creator><creator>Li, Yan</creator><creator>Mao, Junfa</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>8FD</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-8724-6246</orcidid><orcidid>https://orcid.org/0000-0002-3827-4053</orcidid><orcidid>https://orcid.org/0000-0002-9857-535X</orcidid><orcidid>https://orcid.org/0000-0003-1455-2095</orcidid></search><sort><creationdate>20201201</creationdate><title>A Compact 2-D Stochastic FDTD Method for Uncertainty Analysis in Superconducting Transmission Lines</title><author>Yang, Yifan ; Li, Xiao-Chun ; Li, Yan ; Mao, Junfa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c293t-1d01514409d319be1f7498071659efeeb90b8d4c7b073d61090c62046065b1513</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algorithms</topic><topic>Computer simulation</topic><topic>Finite difference methods</topic><topic>Finite difference time domain method</topic><topic>Finite-difference time-domain (FDTD)</topic><topic>Mathematical model</topic><topic>Microstrip transmission lines</topic><topic>Monte Carlo methods</topic><topic>Monte Carlo simulation</topic><topic>stochastic finite-difference time-domain (S-FDTD) method</topic><topic>Stochastic processes</topic><topic>superconducting transmission line</topic><topic>Superconducting transmission lines</topic><topic>Superconductivity</topic><topic>Time domain analysis</topic><topic>Transmission lines</topic><topic>Two dimensional analysis</topic><topic>Two fluid models</topic><topic>Uncertainty</topic><topic>Uncertainty analysis</topic><topic>variance</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yang, Yifan</creatorcontrib><creatorcontrib>Li, Xiao-Chun</creatorcontrib><creatorcontrib>Li, Yan</creatorcontrib><creatorcontrib>Mao, Junfa</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>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on applied superconductivity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Yang, Yifan</au><au>Li, Xiao-Chun</au><au>Li, Yan</au><au>Mao, Junfa</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Compact 2-D Stochastic FDTD Method for Uncertainty Analysis in Superconducting Transmission Lines</atitle><jtitle>IEEE transactions on applied superconductivity</jtitle><stitle>TASC</stitle><date>2020-12-01</date><risdate>2020</risdate><volume>30</volume><issue>8</issue><spage>1</spage><epage>7</epage><pages>1-7</pages><issn>1051-8223</issn><eissn>1558-2515</eissn><coden>ITASE9</coden><abstract>In this article, a stochastic finite-difference time-domain (S-FDTD) method is proposed for analyzing the influence of physical size uncertainty on the time-domain response of superconducting transmission lines. The formulations of the proposed method are, in detail, derived with the two-fluid model and London equation. A typical superconducting microstrip line is simulated to verify the effectiveness of the proposed algorithm. Compared with the Monte Carlo simulation, the proposed method has the same accuracy but much higher efficiency. The computation time of the proposed S-FDTD method is only about 3% of that of the Monte Carlo simulation. Therefore, the proposed method shows a promising prospect on predicting the variability in transmission line's performance caused by variation in superconducting manufacturing.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TASC.2020.3006538</doi><tpages>7</tpages><orcidid>https://orcid.org/0000-0001-8724-6246</orcidid><orcidid>https://orcid.org/0000-0002-3827-4053</orcidid><orcidid>https://orcid.org/0000-0002-9857-535X</orcidid><orcidid>https://orcid.org/0000-0003-1455-2095</orcidid></addata></record> |
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subjects | Algorithms Computer simulation Finite difference methods Finite difference time domain method Finite-difference time-domain (FDTD) Mathematical model Microstrip transmission lines Monte Carlo methods Monte Carlo simulation stochastic finite-difference time-domain (S-FDTD) method Stochastic processes superconducting transmission line Superconducting transmission lines Superconductivity Time domain analysis Transmission lines Two dimensional analysis Two fluid models Uncertainty Uncertainty analysis variance |
title | A Compact 2-D Stochastic FDTD Method for Uncertainty Analysis in Superconducting Transmission Lines |
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