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technical paper
Simulation of Soft Magnetic Composites with Periodic Strayfield Calculation
Soft magnetic composites(SMCs) consist of ferromagnetic particles, in the micrometer-range which are embedded in an electrically insulating material, in order to reduce the eddy-currents in the high-frequency regime. We want to utilize numerical simulations in order to optimize such materials in terms of power-loss and permeability. The problem one faces is that the samples have macroscopic sizes, however if one would want to resolve these materials on the micro-scale, it would limit the total simulation size to a few micrometers. Introducing a truncated geometry or cut-off would also not solve this problem as demagnetization effects would come into play for any finite sized sample. However due to the torus-like shape of the sample, the magnetic flux closure reduces the strayfield to zero. To overcome these issues we developed and implemented our own method for calculating the micromagnetic strayfield with periodic boundary conditions(PBCs)1. PBCs allow us to simulate an infinite sample and therefore avoid the demagnetization effects. A complete magnetic simulation framework including PBCs will be presented with which the spatially- and time-resolved magnetization response to an external field is simulated.
The model will be validated among other things by reproducing experimental setups that have successfully reduced the power-loss of SMCs. Suetsuna et al.2 have shown that the power-loss reduces by roughly half when the sample is exposed to a magnetic field during annealing, because an aligned anisotropy direction is induced. This was replicated in the simulation and as can be seen in figure 1 the simulated power-loss Pm decreases by half when an aligned anisotropy is applied, without altering the relative permeability mur.
References
1 Bruckner, Florian, et al. "Strayfield calculation for micromagnetic simulations using true periodic boundary conditions." Scientific Reports 11.1 (2021): 1-8.
2 Suetsuna, Tomohiro, et al. "Soft magnetic composite containing magnetic flakes with in-plane uniaxial magnetic anisotropy." Journal of Magnetism and Magnetic Materials 473 (2019):
416-421.
Fig. 1 Powerloss Pm and permeability mur were calculated from hysteresis simulations utilizing the SMC model with aligned and random anisotropy.