Model of a 3D Magnetic Permeability Tensor Considering Rotation and Saturation States in Materials with Axial...

Area of Science:

• Materials Science
• Electromagnetism
• Solid Mechanics

Background:

• Accurate modeling of magnetic materials is crucial for designing inductive devices.
• Existing models often lack comprehensive descriptions of magnetization processes, especially for anisotropic materials.
• Understanding magnetic saturation and rotation is key for device performance.

Purpose of the Study:

• To develop a 3D extension of the linear tensor model for magnetic permeability.
• To incorporate all magnetization phases: linear, rotation, and saturation.
• To provide a model suitable for anisotropic magnetic materials and finite element analysis.

Main Methods:

• Extension of the linear tensor model to three dimensions.
• Analysis of anisotropic and magnetostatic energy for magnetization rotation.
• Validation against experimental data.

Main Results:

• A comprehensive 3D tensor model for magnetic permeability in axially anisotropic materials.
• The model accounts for linear magnetization, magnetization rotation, and magnetic saturation.
• Successful validation using existing experimental characteristics.

Conclusions:

• The proposed model enables accurate simulation of inductive devices with anisotropic magnetic cores.
• It is suitable for modeling magnetic cores under mechanical stress.
• The model is particularly effective for finite element modeling of devices operating in magnetic saturation, like fluxgate sensors.