Pareto-optimal parametric synthesis of axisymmetric magnetic systems with allowance for nonlinear properties of the ferromagnet

A method of Pareto-optimal synthesis is worked out for axisymmetric magnetic systems containing ferromagnetic elements with nonlinear magnetic properties. The method is based on the simultaneous application of the swarm intelligence paradigm and the evolution optimization with the help of genetic algorithms. Numerical examples of designing the devices for producing uniform and gradient magnetic fields in their working volume are considered.