Novel algorithm for designing values of technological parameters for production of Soft Magnetic Composites (SMC) has been created. These parameters are the following magnitudes: hardening temperature $T$ and compaction pressure $p$. They enable us t
o optimize of power losses and induction. The advantage of the presented algorithm consists in the bicriteria optimization. The crucial role in the presented algorithm play scaling and notion of pseudo-state equation. On the base of these items the mathematical models of the power losses and induction have been created. The models parameters have been calculated on the basis of the power losses characteristics and hysteresis loops. The created optimization system has been applied to specimens of Somaloy 500. Obtained output consists of finite set of feasible solutions. In order to select unique solution an example of additional criterion has been formulated.
Suplementary algoritm for optimizing technological parameters of soft magnetic compozities has been derived on the base of topological structure of the power loss characteristics. In optimization processes of magnitudes obeying scaling it happen bina
ry relations of magnitudes having different dimensions. From mathematical point of view in general case such a procedure is not permissible. However, in a case of the system obeying the scaling law it is so. It has been shown that in such systems binary relations of magnitudes of different dimensions is correct and has mathematical meaning which is important for practical use of scaling in optimization processes. Derived here structure of the set of all power loss characteristics in soft magnetic composite enables us to derive a formal pseudo-state equation of SMC. This equation constitutes a realation of the hardening temperature, the compaction pressure and a parameter characterizing the power loss characteristic. Finally, the pseudo-state equation improves the algoritm for designing the best values of technological parameters.
Optimization of power loss in soft magnetic components basis on the choice of the best technological parameters values. Therefore, the power losses have been measured in Somaloy 500 samples for a wide range of frequency and magnetic induction. These
samples have been prepared under a wide range of the hardening temperatures and pressures. The power loss characteristics have been derived by assuming that investigated samples obeyed the scaling law. Agreement obtained between experimental data and the scaling theory has confirmed this assumption. Moreover, the experimental data of the given sample have been collapsed to a single curve which represented measurements for all values of frequency an magnetic induction pick. Therefore, the scaling transforms the losses characteristics from the two dimensional surfaces to the one dimensional curves. The samples were produced according two methods: for different pressures with constant temperature and at different temperatures with constant pressure. In both cases the power losses decrease with increasing pressure and with increasing temperature. These trends in decreasing losses stopped for certain critical values of pressure and temperature, respectively. Above these values the power losses increase suddenly. Therefore, the mentioned above the critical pressure and the critical temperature are sought after solutions for optimal values. In order to reduce the parameters values set the limit curve in the pressure-temperature plane has been derive. This curve constitutes a separation curve between the parameters values corresponding to high and low losses.
