Optimal shape design with field subdomains modeled by Thévenin equivalent conditions Available to Purchase

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.

The proposed method, the background of which relies on the generalized Thévenin theorem, exploits a principle of field diakoptics.

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.

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.