Micromagnetic Simulation Accuracy with Intermediate Magnetization
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Solution Overview
Problem
Micromagnetic simulations face a challenge in maintaining calculation accuracy when increasing mesh size, which worsens the flexibility and accuracy of simulations, particularly in analyzing permanent magnets with great magnetic anisotropy.
Innovation Solution
The magnetization analysis apparatus calculates intermediate magnetization at the halfway point between adjacent elements, uses this intermediate magnetization to compute an effective magnetic field, and updates the magnetization vector based on this field, allowing for accurate simulations with larger mesh sizes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If the mesh size is increased, then the calculation time is shortened and flexibility is improved, but the calculation accuracy significantly worsens
Solution Approach 1:
The patent introduces intermediate magnetization vectors as mediators between adjacent elements. These intermediate vectors are calculated at the boundaries between elements and are used to compute exchange fields more accurately. This intermediary approach allows the use of larger mesh sizes while maintaining calculation accuracy, as the intermediate vectors bridge the gap between coarse mesh elements and the underlying fine-scale magnetic structure.
Solution Approach 2:
The patent changes the parameter of magnetization representation by introducing intermediate magnetization vectors in addition to the element-center magnetization vectors. This parameter change enables more accurate exchange field calculations with coarser meshes, resolving the contradiction between mesh size and accuracy.
2Measurement precision
If the mesh size is decreased, then the calculation accuracy is improved, but the calculation time increases and flexibility decreases
Solution Approach 1:
By introducing intermediate magnetization vectors at element boundaries, the patent enables accurate exchange field calculations without requiring extremely fine meshes. This intermediary structure allows the system to achieve high accuracy with moderate mesh densities, significantly reducing calculation time compared to conventional approaches that require fine meshes for accuracy.
3Quantity of substance
If the mesh size is increased, then the number of meshes is reduced and memory requirements are lowered, but the angles between adjacent magnetization vectors increase and accuracy worsens
Solution Approach 1:
The intermediate magnetization vectors serve as mediators that preserve accurate magnetization direction information at element boundaries. These intermediate vectors are calculated using the magnetization vectors of adjacent elements and are used to compute exchange fields with high accuracy. This allows the system to use fewer meshes while maintaining accurate representation of magnetization angles and directions.
Data Source
AI summary
A magnetization analysis apparatus includes a processor configured to execute a process. The process includes: first calculating, using a magnetization vector of each of elements obtained by mesh division in which a magnetic substance is divided into a plurality of meshes and a magnetization vector of an element adjacent to each element, intermediate magnetization that is a magnetization vector at the halfway point between each element and an element adjacent to each element; second calculating an effective magnetic field using the intermediate magnetization calculated at the first calculating; and third calculating a magnetization vector of each element after a unit time based on the effective magnetic field calculated at the second calculating.