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This paper is devoted to effective solving of magnetic hysteresis problems in 3D modeling of accelerator magnets. It is proposed to use boundary elements and a reduced scalar magnetic potential in the air and finite elements, in addition to a full scalar magnetic potential in ferromagnetic materials. There is no need to mesh the air domain by using that approach. Also, it allows nonlinear and inhomogeneous magnetization in ferromagnets to be taken into account. Numerical simulation is carried out using three different models of hysteresis: the Preisach model, the model based on dry friction and the Vinokurov model. To verify the accuracy of the developed approach, the simulation results are compared with the magnetic field measurements for the deflecting accelerator magnet.

COUPLED FINITE AND BOUNDARY ELEMENT METHOD FOR SOLVING MAGNETIC HYSTERESIS PROBLEMS