Optimal shape design with field subdomains modeled by Thévenin equivalent conditions

• Paolo Di Barba ^[1] ; Antonio Savini ^[1]
  1. [1] University of Pavia

     University of Pavia

     Pavía, Italia

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 31, Nº 3 (Special Issue: Problems in Electromagnetism), 2012, págs. 780-791
• Idioma: inglés
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• Resumen

  • Purpose – The purpose of this paper is to propose a method, reducing the order of the analysis problem, to help the solution of optimal shape design problems in electricity and magnetism.

    Design/methodology/approach – The proposed method, the background of which relies on the generalized Thévenin theorem, exploits a principle of field diakoptics.

    Findings – After assessing the proposed method on a benchmark of inverse magnetostatics, the shape optimisation of the stress‐control ring in a power transformer is considered as the case study.

    Originality/value – The proposed method makes it possible to reduce the cost of an optimisation procedure, when the direct problem is solved by means of finite‐element analysis.