To address the non-convergence issue in nonlinear iterations caused by improper reluctivity selection during hysteresis-aware time-stepping finite element analysis

this paper presents a magnetic reluctivity selection method. The proposed approach dynamically adjusts the convergence factor at each time step by setting a threshold

thereby stabilizing the iteration process. First

the two-dimensional magnetic filed finite element equation of magnetic vector potential and excitation current is established using the fixed-point method

and the fixed-point permeability is introduced to address the nonlinear issue. Second

the field-circuit coupling relationship is established based on the electromagnetic induction law

and the Jiles-Atherton hysteresis model is utilized to characterize the core’s hysteresis characteristics

thus a field-circuit coupling model considering hysteresis is formed. Then

the threshold is introduced to solve the convergence difficulties in the nonlinear iterative process. Finally

the effectiveness of the proposed method is verified by applying it to a composite core made of amorphous alloy and grain-oriented silicon steel

from which the excitation current

magnetic flux density distribution

and no-load loss are successfully computed.