This paper is concerned with the modeling of ferromagnetic coils with audio applications in mind. The proposed approach derives a macroscopic, energy-based formulation from statistical physics. This choice allows for thermodynamic variables to be explicitly taken into account. As a consequence, macroscopic features such as saturation and hysteresis arise directly. As the proposed model is expressed through a port-Hamiltonian formulation, power balance and passivity are guaranteed. Moreover the model may be straightforwardly connected to other multi-physical components and included in more complex systems. The proposed model is compared to measurements on a real ferromagnetic coil. Simulations of a passive band-pass filter and a transformer built around the model are presented as an illustration.
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