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Suplementary algoritm for optimizing technological parameters of softmagnetic compozities has been derived on the base of topological structure ofthe power loss characteristics. In optimization processes of magnitudes obeyingscaling it happen binary relations of magnitudes having different dimensions.From mathematical point of view in general case such a procedure is notpermissible. 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 ofdifferent dimensions is correct and has mathematical meaning which is importantfor practical use of scaling in optimization processes. Derived here structureof the set of all power loss characteristics in soft magnetic composite enablesus to derive a formal pseudo-state equation of SMC. This equation constitutes arealation of the hardening temperature, the compaction pressure and a parametercharacterizing the power loss characteristic. Finally, the pseudo-stateequation improves the algoritm for designing the best values of technologicalparameters.

Binary relations between magnitudes of different dimensions used in  material science optimization problems. Pseudo-state equation of Soft  Magnetic Composities