Calculation of the three-dimensional magnetic field of a system of permanent magnets and ferromagnets based on the integral magnetization equation and the Jills–Atterton model

The article considers the calculation of the three-dimensional magnetic field of a system of permanent magnets and ferromagnets based on the integral magnetization equation and the Jills–Atterton model. It is assumed that the magnetic system consists of permanent magnets and structural parts made of ferromagnetic materials with known characteristics. One of the problems is to take into account the influence of the magnetic hysteresis of the frame material on the accuracy of calculating the magnetic field. The cell method and iterative relaxation method are used to solve the integral magnetization equation. The main magnetization curve is calculated using the Langevin formula. As a model problem, we consider the calculation of the magnetic field created by a rectangular permanent magnet located on a ferromagnetic base in the form of a parallelepiped. The results obtained can also be used in solving direct and inverse problems for a system of ferromagnetic bodies and in test problems for comparison with other methods.