# Non Linear Homogenization of Laminate Magnetic Material by Computing Equivalent Magnetic Reluctivity

### Ghania Yousfi, Hassane Mohellebi

#### 2024

#### Abstract

In the present study we present a numerical modeling of a laminate magnetic material using an homogenization technique which exploit an inverse problem resolution. The laminate magnetic material is consisting of an alternate of magnetic and insulates layers. The equivalent magnetic reluctivity is computed for the homogenized domain by considering a non linear behavior of the magnetic layers. A finite element method is used to solve the 2D non-linear electromagnetic partial differential equation. An optimization problem is constructed and solved with the association of the 2D finite element resolution and a conjugate bi-gradient algorithm. The computation of the equivalent magnetic reluctivity is then performed for different excitation field value according to B-H curve. The comparison of the obtained B-H curves of the laminate and the homogenized domains to the theoretical B-H curve (experimental data) show a good agreement of laminate results.

Download#### Paper Citation

#### in Harvard Style

Yousfi G. and Mohellebi H. (2024). **Non Linear Homogenization of Laminate Magnetic Material by Computing Equivalent Magnetic Reluctivity**. In *Proceedings of the 14th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH*; ISBN 978-989-758-708-5, SciTePress, pages 348-353. DOI: 10.5220/0012795200003758

#### in Bibtex Style

@conference{simultech24,

author={Ghania Yousfi and Hassane Mohellebi},

title={Non Linear Homogenization of Laminate Magnetic Material by Computing Equivalent Magnetic Reluctivity},

booktitle={Proceedings of the 14th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH},

year={2024},

pages={348-353},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012795200003758},

isbn={978-989-758-708-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 14th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH

TI - Non Linear Homogenization of Laminate Magnetic Material by Computing Equivalent Magnetic Reluctivity

SN - 978-989-758-708-5

AU - Yousfi G.

AU - Mohellebi H.

PY - 2024

SP - 348

EP - 353

DO - 10.5220/0012795200003758

PB - SciTePress