Paper detail

Scaling Conception of Energy Loss' Separation in Soft Magnetic Materials

Data collapse enables comparison of measurement data measured in different laboratories on different samples. In the case of energy losses in Soft Magnetic Materials (SMM) the data collapse is possible to achieved only if the measurement data can be described by the two components formula. For more complicated cases we propose to perform data collapse's sequence in the two-dimensional subspaces $L_{i,i+1}$ spanned by the appropriate powers of frequency $\{f^{i},f^{i+1}\}$. Such approach enables the data comparison in the different two-dimensional subspaces. This idea has been tested with measurement data of the four SMM-s: amorphous alloy \textrm{Fe}_{78}\textrm{Si}_{13}\textrm{B}_{9}$, amorphous alloy $\textrm{Co}_{71.5} \textrm{Fe}_{2.5} \textrm{Mn}_{2} \textrm{Mo}_{1} \textrm{Si}_{9} \textrm{B}_{14}$, crystalline material -- oriented electrotechnical steel sheets 3% Si--Fe, iron--nickel alloy $79% \textrm{Ni}-\textrm{Fe}$. Intermediate calculations revealed interesting property of the energy losses in the cristalline and amorphous SMM-s which lead to the following hypothesis. Let $P_{tot\,1,2}=f_{1,2}(1+f_{1,2})$ be scaled two-components formula for the energy loss in SMM, where $f_{1,2}$ is the corresponding scaled frequency. Then the scaled energy losses' values in amorphous SMM are below the second order universal curve $P_{tot\,1,2}=f_{1,2}(1+f_{1,2})$, whereas the scaled energy losses' values in crystalline SMM are above that universal curve.