Design and application of layered composites with the prescribed magnetic permeability

Abstract

SUMMARYThis research aims to design the microstructure with the prescribed magnetic permeability and proposes a design method to control the magnetic flux flow using layered microstructures. In the optimization problem for the microstructure design, the objective function is set up to minimize the difference between the homogenized magnetic permeability during the design process and the prescribed permeability based on the so-called inverse homogenization method. Based on the microstructure design result, a microstructure composed of layered materials is proposed for the purpose of the efficient magnetic flux control. In addition, its analytical calculation is added to confirm the feasibility of the optimized results. The layered composite of a very thin ferromagnetic material is expected to guide the magnetic flux and the performance of the magnetic system can be improved by turning the microstructures appropriately. Optimal rotation angles of microstructures are determined using the homogenization design method. The proposed design method is applied to an example to confirm its feasibility.

A topology optimization method based on the level set method for the design of negative permeability dielectric metamaterials

“…Sigmund [44] proposed a topology optimization method for dielectric metamaterials to obtain dielectric material designs that minimize the effective permeability at a specific frequency, which also employed the S-parameter retrieval method to obtain the effective properties. Choi and Yoo [45] introduced the inverse homogenization method [46] for the design of magnetic materials that demonstrate a desirable prescribed effective permeability value. Zhou et al [25] proposed an inverse homogenization method for the design of metamaterials, where both permittivity and permeability are simultaneously maximized.…”

Topology optimization using a reaction–diffusion equation

“…Since a seminal paper by Bendsøe and Kikuchi [8], structural topology optimization has become an established and effective design tool in various physical systems for stiffness maximization problems [8,9], compliant mechanism design problems [10,11] and microstructure designs [12][13][14]. In contrast with traditional methods like sizing or shape optimization, topology optimization permits radical design evolution beyond initially proposed models.…”

Topological optimal design of composite magnetic actuators to improve driving force and thermal conductivity

“…Since these early studies using isotropic materials, design of anisotropic magnetic actuators has been extensively researched using the HDM and the asymptotic homogenization method (AHM) (Lee et al 2019;Kim et al 2020;Choi and Yoo 2010). However, such studies do not consider the magnetic saturation effect.…”