this paper presents a new approach for linearizing the core loss calculation problem over wide range of frequency and magnetic flux density. The proposed approach is developed based on the fundamental square loss law and the concept of the magnetic-flux resistance (Rmag). Higher accuracy, less complexity and easier applicability are the main features of the derived model in comparison to Steinmetz and Bertotti models. The developed model is an alternative way to explain the hysteresis loss analogous to the AC resistance through the prediction of Rmag. It also gives better physics background and explanation than Steinmetz and Bertotti approaches to the core loss as it lies this phenomenon with the classic square loss law and the material propriety Rmag. The model is developed for several magnetic ferrite materials using measurement results from literature. Index Terms-core loss, magnetic-flux resistance, square loss law, hysteresis, linear and nonlinear problem.

this paper presents a new design method of  the DC inductor using the unique air gap equation. The  uniqueness of the air gap equation is demonstrated using  different mathematical methods. The equation used in the  literature for the air gap calculation is ambiguous and can  easily lead to misconceptions of its dependency on the core  cross section. Furthermore, this paper investigates the effect of changing the relative permeability and the  inductance value on the number of turns and the air gap. An advantage of the proposed method is it gives a good understanding of the interdependence between the  inductance variables. Its main features are: (1)  straightforward design flow of the DC inductor, (2) low  optimization time and (3) better accuracy.