Magnetic Property Analysis Using Segmented FEM and LLG Solver
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Solution Overview
Problem
The computation of magnetic properties using the Finite Element Method (FEM) increases processing load and deteriorates the processing speed of analyzing apparatuses, making it inefficient for analyzing magnetic materials.
Innovation Solution
A magnetic property analyzing apparatus with a processor including a first computing unit for FEM-based magnetic field analysis and a second computing unit for computing effective magnetic fields and magnetization vectors using the LLG equation, which computes average magnetization by segmenting the analyzing target into elements and performing time integrals, thereby reducing processing time.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If FEM is used for magnetic field analysis, then analysis accuracy is improved, but processing speed deteriorates
Solution Approach 1:
The patent segments the analysis into two distinct parts: (1) FEM-based magnetic field analysis for accurate field distribution calculation, and (2) micromagnetics-based magnetization analysis for precise magnetic property computation. This segmentation allows each method to be applied only where necessary, reducing overall computational load while maintaining accuracy.
Solution Approach 2:
The patent extracts the magnetization calculation from the FEM process and handles it separately using micromagnetics equations. By taking out the magnetization computation step and treating it independently with more efficient algorithms, the patent reduces the processing burden on the FEM solver while preserving analysis accuracy.
2Measurement precision
If FEM computation is performed, then magnetic field analysis accuracy is improved, but processing load increases
Solution Approach 1:
The patent divides the computational task into separate modules: FEM solver for magnetic field computation and a dedicated micromagnetics solver for magnetization computation. This modular segmentation reduces the complexity of each individual solver while maintaining the overall accuracy of the combined analysis.
Solution Approach 2:
The patent introduces an intermediary coupling mechanism where the FEM solver provides magnetic field data to the micromagnetics solver, which then computes magnetization and feeds it back to the FEM solver. This intermediary layer allows the two different computational methods to work together efficiently without requiring one to bear the full computational burden.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach significantly reduces processing time and improves the speed of magnetic property analysis while maintaining high accuracy, allowing for efficient analysis of magnetic materials regardless of their shape or size.
Implementation Method 1
a magnetization vector computing unit configured to compute magnetization vectors within each of the elements by obtaining a time integral of a LLG (Landau Lifshitz Gilbert) equation using the effective magnetic field computed by the effective magnetic field computing unit
Data Source
AI summary
A magnetic property analyzing apparatus includes a first computing unit to perform a magnetic field analysis utilizing a FEM using an average magnetization given with respect to each of elements to which an analyzing target is segmented, and a second computing unit that computes an effective magnetic field acting on each element using a magnetic field computed by the magnetic field analysis, computes magnetization vectors within each element by obtaining a time integral of a LLG equation using the effective magnetic field, and computes an average magnetization for each element by averaging the magnetization vectors.