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Scaling in Modeling of Core Losses in Soft Magnetic Materials Exposed to Nonsinusoidal Flux Waveforms and DC Bias

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 Publication date 2013
  fields Physics
and research's language is English




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Assuming that core loss data of Soft Magnetic Materials obey scaling relations, models describing the power losses in materials exposed to non-sinusoidal flux waveforms and DC Bias conditions have been derived. In order to test these models, the measurement data for two materials have been collected and the core losses calculated. Agreement between the experimental data and the model predictions is satisfactory.



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Assuming that Soft Magnetic Material is a Complex System and expressing this feature by scaling invariance of the power loss characteristic, the unified model of the temperature dependence of Core Losses in Soft Magnetic Materials Exposed to Nonsinusoidal Flux Waveforms and DC Bias Condition has been constructed. In order to verify this achievement the appropriate measurement data concerning power losses and the all independent variables have been collected. The model parameters have been estimated and the power losses modeling has been performed. Comparison of the experimental values of power losses with their calculated values has showed good agreement.
A new mathematical model of hysteresis loop has been derived. Model consists in an extansion of tanh($cdot$) by extanding the base of exp function into an arbitrary positive number. The presented model is self-similar and invariant with respect to scaling. Scaling of magnetic hysteresis loop has been done using the notion of homogenous function in general sense.
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 collapses 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.
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Searching for novel two-dimensional (2D) materials is crucial for the development of the next generation technologies such as electronics, optoelectronics, electrochemistry and biomedicine. In this work, we designed a series of 2D materials based on endohedral fullerenes, and revealed that many of them integrate different functions in a single system, such as ferroelectricity with large electric dipole moments, multiple magnetic phases with both strong magnetic anisotropy and high Curie temperature, quantum spin Hall effect or quantum anomalous Hall effect with robust topologically protected edge states. We further proposed a new style topological field-effect transistor. These findings provide a strategy of using fullerenes as building blocks for the synthesis of novel 2D materials which can be easily controlled with a local electric field.
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