Power-Balanced Modeling of Nonlinear Coils and Transformers for Audio Circuits

Najnudel J, Hélie T, Roze D, Müller R. Power-Balanced Modeling of Nonlinear Coils and Transformers for Audio Circuits. J Audio Eng Soc. 2021;69(7/8):506-516. doi:10.17743/jaes.2021.0022

@article{Najnudel2021_21118,
  author = {Najnudel, Judy and Hélie, Thomas and Roze, David and Müller, Rémy},
  title = {{Power-Balanced Modeling of Nonlinear Coils and Transformers for Audio Circuits}},
  journal = {Journal of the Audio Engineering Society},
  volume = {69},
  number = {7/8},
  pages = {506--516},
  year = {2021},
  month = jul,
  publisher = {Audio Engineering Society},
  doi = {10.17743/jaes.2021.0022},
  url = {https://doi.org/10.17743/jaes.2021.0022}
}

TY  - JOUR
TI  - Power-Balanced Modeling of Nonlinear Coils and Transformers for Audio Circuits
AU  - Najnudel, Judy
AU  - Hélie, Thomas
AU  - Roze, David
AU  - Müller, Rémy
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 69
IS  - 7/8
SP  - 506
EP  - 516
PY  - 2021
DA  - 2021/07/06
DO  - 10.17743/jaes.2021.0022
UR  - https://doi.org/10.17743/jaes.2021.0022
PB  - Audio Engineering Society
LA  - en
AB  - 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.
ER  -