软磁材料能损分离的标度概念
Scaling Conception of Energy Loss' Separation in Soft Magnetic Materials
摘要：
数据折叠可以比较不同实验室对不同样品测量的测量数据。在软磁材料（SMM）中存在能量损失的情况下，只有当测量数据可以用双分量公式描述时，才有可能实现数据崩溃。对于更复杂的情况下，我们建议在二维子空间$L_{i,i+1}$由适当的权力的频率$\{f^{i},f^{i+1}\}$跨越数据折叠的序列。这种方法使得能够在不同的二维子空间中进行数据比较。这一想法已经用四个SMM的测量数据进行了测试：非晶态合金\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}）$，而晶体SMM中的缩放能量损失值高于该通用曲线。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
