Dynamic multiobjective optimization: a way to the shape design with transient magnetic fields

The optimal control of the geometry of a magnetic pole under step excitation has been formulated as a problem of multiobjective optimization in dynamic conditions. Accordingly, the nondominated solutions of the problem have been determined in the time domain.
The scope of the paper is to prove the feasibility of dynamic multiobjective optimization in computational electromagnetism by solving a benchmark of inverse magnetic diffusion.