{"date_updated":"2024-06-06T09:09:50Z","intvolume":"         1","language":[{"iso":"eng"}],"type":"conference","abstract":[{"text":"The paper deals with a topology optimization of electromagnetic media described by the eddy current equations. This problem finds many applications in the design of modern high power electronic devices. The construction of a subtle layout of the devices requires to avoid significant losses in the power transmission due to parasitic inductivities. We consider a minimization problem with an objective function related to the energy dissipation given by the Joule-Lenz law. Our purpose is to find the optimal material distribution in the conductive medium with a prescribed fluxes through the ports. The structural boundary of the design domain changes during the optimization process. A level-set method is proposed for an implicit representation of this boundary. The description includes the evolution of the scalar level-set function and thus, the optimal propagation of the design boundary by solving the Hamilton-Jacobi equation. Another approach to find the optimal material design is to consider the electromagnetic potentials as state variables and the conductivity as a design variable. This formulation gives rise to a nonlinear minimization problem which we solve by the primal-dual approach. Some numerical experiments by using the second approach applied to a two-dimensional isotropic electromagnetic model are presented.","lang":"eng"}],"publication_identifier":{"issn":["2078-0958"],"eissn":["2078-0966"],"isbn":["978-988-17012-8-2"]},"conference":{"location":"Hong Kong","name":"International MultiConference of Engineers and Computer Scientists","end_date":"2010-03-19","start_date":"2010-03-17"},"volume":1,"editor":[{"full_name":"Ao, S.I.","last_name":"Ao","first_name":"S.I."},{"last_name":"Castillo","full_name":"Castillo, Oscar","first_name":"Oscar"},{"first_name":"Craig","last_name":"Douglas","full_name":"Douglas, Craig"},{"first_name":"David Dagan","full_name":"Feng, David Dagan","last_name":"Feng"},{"first_name":"Jeong-A","full_name":"Lee, Jeong-A","last_name":"Lee"}],"publisher":"Newswood Limited","author":[{"last_name":"Petrova","full_name":"Petrova, Svetozara","id":"201871","first_name":"Svetozara"}],"_id":"4608","status":"public","date_created":"2024-05-29T08:55:00Z","project":[{"name":"Institute for Data Science Solutions","_id":"f432a2ee-bceb-11ed-a251-a83585c5074d"}],"publication":"Proceedings of the International MultiConference of Engineers and Computer Scientists 2010","title":"Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods","user_id":"220548","citation":{"ieee":"S. Petrova, “Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods,” in <i>Proceedings of the International MultiConference of Engineers and Computer Scientists 2010</i>, Hong Kong, 2010, vol. 1.","chicago":"Petrova, Svetozara. “Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods.” In <i>Proceedings of the International MultiConference of Engineers and Computer Scientists 2010</i>, edited by S.I. Ao, Oscar Castillo, Craig Douglas, David Dagan Feng, Jeong-A Lee, and International Association of Engineers, Vol. 1. Newswood Limited, 2010.","apa":"Petrova, S. (2010). Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods. In S. I. Ao, O. Castillo, C. Douglas, D. D. Feng, J.-A. Lee, &#38; International Association of Engineers (Eds.), <i>Proceedings of the International MultiConference of Engineers and Computer Scientists 2010</i> (Vol. 1). Hong Kong: Newswood Limited.","short":"S. Petrova, in: S.I. Ao, O. Castillo, C. Douglas, D.D. Feng, J.-A. Lee, International Association of Engineers (Eds.), Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, Newswood Limited, 2010.","alphadin":"<span style=\"font-variant:small-caps;\">Petrova, Svetozara</span>: Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods. In: <span style=\"font-variant:small-caps;\">Ao, S. I.</span> ; <span style=\"font-variant:small-caps;\">Castillo, O.</span> ; <span style=\"font-variant:small-caps;\">Douglas, C.</span> ; <span style=\"font-variant:small-caps;\">Feng, D. D.</span> ; <span style=\"font-variant:small-caps;\">Lee, J.-A.</span> ; <span style=\"font-variant:small-caps;\">International Association of Engineers</span> (Hrsg.): <i>Proceedings of the International MultiConference of Engineers and Computer Scientists 2010</i>. Bd. 1 : Newswood Limited, 2010","bibtex":"@inproceedings{Petrova_2010, title={Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods}, volume={1}, booktitle={Proceedings of the International MultiConference of Engineers and Computer Scientists 2010}, publisher={Newswood Limited}, author={Petrova, Svetozara}, editor={Ao, S.I. and Castillo, Oscar and Douglas, Craig and Feng, David Dagan and Lee, Jeong-A and International Association of EngineersEditors}, year={2010} }","mla":"Petrova, Svetozara. “Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods.” <i>Proceedings of the International MultiConference of Engineers and Computer Scientists 2010</i>, edited by S.I. Ao et al., vol. 1, Newswood Limited, 2010.","ama":"Petrova S. Topology Optimization of Eddy Current Systems by Level-Set and Primal-Dual Methods. In: Ao SI, Castillo O, Douglas C, Feng DD, Lee J-A, International Association of Engineers, eds. <i>Proceedings of the International MultiConference of Engineers and Computer Scientists 2010</i>. Vol 1. Newswood Limited; 2010."},"corporate_editor":["International Association of Engineers"],"year":"2010"}