Continuum Sensitivity Analysis for Shape Optimization of Transient Eddy Current Systems
This study proposes a shape sensitivity analysis for transient eddy current systems. The continuum sensitivity analysis is a deterministic optimization technique for designing the shape and topology of electromagnetic systems. Despite substantial research on the sensitivity analysis, most of the wor...
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| Veröffentlicht in: | IEEE transactions on magnetics 2023-05, Vol.59 (5), p.1-1 |
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| container_title | IEEE transactions on magnetics |
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| creator | Lee, Jun Seong Hong, Seung Geon Park, Il Han |
| description | This study proposes a shape sensitivity analysis for transient eddy current systems. The continuum sensitivity analysis is a deterministic optimization technique for designing the shape and topology of electromagnetic systems. Despite substantial research on the sensitivity analysis, most of the work has focused on static and steady-state issues. However, some problems require transient analysis. In this paper, the shape sensitivity formula for a transient eddy current system was derived by the continuum approach using the adjoint variable technique and material derivative concept. In the sensitivity analysis using the derived sensitivity formula, the state variable equation is an initial-value problem to be solved forward in time. Conversely, the adjoint variable equation is a terminal-value problem to be solved backward in time. Three numerical examples were tested to demonstrate the feasibility and usability of the derived sensitivity formula. |
| doi_str_mv | 10.1109/TMAG.2023.3242275 |
| format | Article |
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The continuum sensitivity analysis is a deterministic optimization technique for designing the shape and topology of electromagnetic systems. Despite substantial research on the sensitivity analysis, most of the work has focused on static and steady-state issues. However, some problems require transient analysis. In this paper, the shape sensitivity formula for a transient eddy current system was derived by the continuum approach using the adjoint variable technique and material derivative concept. In the sensitivity analysis using the derived sensitivity formula, the state variable equation is an initial-value problem to be solved forward in time. Conversely, the adjoint variable equation is a terminal-value problem to be solved backward in time. Three numerical examples were tested to demonstrate the feasibility and usability of the derived sensitivity formula.</description><subject>Current distribution</subject><subject>Design optimization</subject><subject>Eddy currents</subject><subject>Formulas (mathematics)</subject><subject>Linear programming</subject><subject>Magnetism</subject><subject>Optimization</subject><subject>Sensitivity analysis</subject><subject>Shape</subject><subject>Shape optimization</subject><subject>Topology</subject><subject>transient</subject><subject>Transient analysis</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkE1LAzEQhoMoWKs_QPAQ8Lx18rG7ybGUWoVKD13wGNLdBFO6HyZZYf317tIePA0v87zD8CD0SGBBCMiX4mO5WVCgbMEopzRPr9CMSE4SgExeoxkAEYnkGb9FdyEcx8hTAjP0uWqb6Jq-r_HeNMFF9-PigJeNPg3BBWxbj_dfujN410VXu18dXdvg1uLC65E3TcTrqhrwqvd-CvshRFOHe3Rj9SmYh8uco-J1Xazeku1u875abpOSSh4TloqsygFsleaV5pRxkkkmCGeWCyvLQ25AMC0yVlYgqpJaOe4OlhhbUlOyOXo-n-18-92bENWx7f34fFBUQEZJDpKMFDlTpW9D8Maqzrta-0ERUJM-NelTkz510Td2ns4dZ4z5xwMnMuPsDxHRbFo</recordid><startdate>20230501</startdate><enddate>20230501</enddate><creator>Lee, Jun Seong</creator><creator>Hong, Seung Geon</creator><creator>Park, Il Han</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| subjects | Current distribution Design optimization Eddy currents Formulas (mathematics) Linear programming Magnetism Optimization Sensitivity analysis Shape Shape optimization Topology transient Transient analysis |
| title | Continuum Sensitivity Analysis for Shape Optimization of Transient Eddy Current Systems |
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