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The mathematical approximation of hysteresis loops is one of the elementary problem of ferromagnetism. In the last century, a numerous of approaches have been developed, like the Preisach model [1], vector hysteresis based on the Stoner Wohlfarth model [2] and the Jiles Atherton model [3]. In turn, Takács in paper [4] describes a purely mathematical approximation of the saturation curve and the hysteresis loop based on the T (x) function which is composed of tangent hyperbolic and linear functions. The Takács model has been examined as the tool for separation of magnetic phases in magnetic alloys [5]. Takács has conjectured on the introduction of the e ective eld into his description in paper [6]. The concept of the e ective eld has been introduced more than century ago by Weiss [7]. The application of this concept has allowed to introduce the in uence of additional physical phenomena on hysteretic, i.e. the e ect of eddy currents, temperature or the e ect of stress. Extended Takcács model has been successfully used to approximation of a dynamic hysteresis loops of cores made of soft magnetic composites [8]. Powder metallurgy has recently attracted the interest of the scienti c and engineering community involved in the development of electric machines. This fact is closely related to manufacturing of parts for electric devices. Furthermore, powder metallurgy is characterized by low production costs, low powder waste and ease of recycling. The expanding interest in the introduction of Fe-based composite materials in electrical devices, such as electrical motors, is obviously connected with their properties. The main feature of these materials is that iron particles are insulated by a thin organic or inorganic coating. SMCs o er several advantages over laminated steel

Modelling Hysteresis Loops in Fe-Based Soft Magnetic Composites Using Takács Description