Scaling Conception of Energy Loss' Separation in Soft Magnetic Materials

Krzysztof Sokalski; Jan Szczygłowski; Wiesław Wilczyński

paper

Scaling Conception of Energy Loss' Separation in Soft Magnetic Materials

arXiv:1111.0939

Abstract

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} $, am or p h o u s a l l oy$ \textrm{Co}_{71.5} \textrm{Fe}_{2.5} \textrm{Mn}_{2} \textrm{Mo}_{1} \textrm{Si}_{9} \textrm{B}_{14} $, cr y s t a l l in e ma t er ia l - - or i e n t e d e l ec t r o t ec hni c a l s t ee l s h ee t s 3$ 79% \textrm{Ni}-\textrm{Fe} $. I n t er m e d ia t ec a l c u l a t i o n sr e v e a l e d in t er es t in g p r o p er t y o f t h ee n er g y l osses in t h ecr i s t a l l in e an d am or p h o u s S M M - s w hi c h l e a d t o t h e f o l l o w in g h y p o t h es i s . L e t$ P_{tot\,1,2}=f_{1,2}(1+f_{1,2}) $b esc a l e d tw o - co m p o n e n t s f or m u l a f or t h ee n er g y l oss in S M M, w h er e$ f_{1,2} $i s t h ecor r es p o n d in g sc a l e df r e q u e n cy . T h e n t h esc a l e d e n er g y l osse s^{'} v a l u es inam or p h o u s S M M a r e b e l o w t h eseco n d or d er u ni v er s a l c u r v e$ 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.

arXiv comment7 pages, 11 figures, submitted to Acta Physica Polonica A