Optimal shape design with field subdomains modeled by Thevenin equivalent conditions
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 Thevenin 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.
optimal shape design generalized thevenin theorem field diakoptics transformers finite-element analysis control equipment optimum design