Enhanced analytical solution of magnetic field dynamics in nonlinear magnetic materials

This work presents two new analytical approaches developed to describe magnetic field penetration into nonlinear magnetic materials commonly found in transformers and electrical machines. These new analytical models are designed to achieve a balance between precision and mathematical simplicity, which allows them to be easily implemented in the finite element method and analytical analysis of electromagnetic devices. The use of these advances can significantly reduce the computational costs of numerical calculations. In addition, the influence of a curved surface on the dynamics of the magnetic field inside magnetic materials is also studied, which makes it possible to extend the new results to magnetic objects of various shapes.