This paper proposes a material representation and a theoretical method to derivemacroscopic matter-field equations from the microscopic scale. It includes extra-losses and dynamic hysteresis occurring within soft magnetic materials and its processing introduction in numerical simulation tools is investigated. It is based on microscopic physical phenomena (the motion of magnetic domain walls) and it is easily usable with the Finite Element Method (F.E.M.) since it saves calculation time and memory space, required by usual methods coupling classical Maxwell equations to hysteretic behavior laws.
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