Convexity-oriented method for the topology optimization of ferromagnetic parts in electromagnetic actuators using the maxwell stress tensor

Topology optimization methods suffer from a lack of convexity for the design of electromagnetic actuators. Local minimizers prevent the method from attaining the optimal solution. The optimization result may then vary according to the initial conditions. This paper proposes a convexity-oriented method focusing on the maximization of the forces exerted on ferromagnetic parts. In addition to canceling the influence of initial conditions, the method produces designs that achieve higher forces compared to conventional methods.