Micromagnetic Simulation for Hysteresis Loss in High-Frequency Magnetic Substrates
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Solution Overview
Problem
Current simulation methods struggle to accurately calculate losses in high-resistivity magnetic materials used in electrical devices, particularly at high frequencies, due to difficulties in handling magnetic resonance phenomena and eddy currents, which are crucial for optimizing device efficiency and reducing size.
Innovation Solution
A simulation program and apparatus that calculate the effective magnetic field for each area of a magnetic substrate, considering both friction and inertial terms, to accurately model magnetization changes and reproduce resonance phenomena, thereby enabling precise estimation of hysterisis loss.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If conventional finite element method with standard loss calculation formulas is used, then computational simplicity is maintained, but accuracy of hysteresis loss and anomalous eddy current loss calculation deteriorates at high frequencies
Solution Approach 1:
The invention changes the fundamental parameters of the calculation model by introducing micromagnetic simulation parameters (exchange interaction constant, magnetocrystalline anisotropy energy, saturation magnetization) to replace conventional macroscopic parameters. This enables accurate calculation of loss at high frequencies by capturing micro-level magnetic domain behaviors that standard formulas cannot represent.
Solution Approach 2:
The magnetic substrate is divided into discrete computational elements or cells, where each element's magnetization state is calculated independently based on local effective fields. This segmentation allows the model to capture spatial variations in magnetization and domain wall movements, improving accuracy without requiring complex continuous formulations.
2Measurement precision
If micromagnetic simulation method is used to accurately model magnetic domain structure and domain walls, then accuracy of magnetization process simulation is improved, but computational complexity increases
Solution Approach 1:
The magnetic substrate is divided into discrete computational elements or cells, where each element's magnetization state is calculated independently based on local effective fields. This segmentation allows the model to capture spatial variations in magnetization and domain wall movements, improving accuracy without requiring complex continuous formulations.
Solution Approach 2:
The invention implements dynamic time-stepping simulation where the magnetization state evolves continuously under the influence of time-varying effective fields. The simulation advances through multiple time steps, updating magnetization vectors at each element based on the Landau-Lifshitz-Gilbert equation, thereby capturing transient magnetic behaviors and resonance phenomena accurately.
3Productivity
If standard electromagnetic field analysis is used, then computational efficiency is maintained, but ability to reproduce resonance phenomena and ferromagnetic resonance deteriorates
Solution Approach 1:
The invention changes the fundamental parameters of the calculation model by introducing micromagnetic simulation parameters (exchange interaction constant, magnetocrystalline anisotropy energy, saturation magnetization) to replace conventional macroscopic parameters. This enables accurate calculation of loss at high frequencies by capturing micro-level magnetic domain behaviors that standard formulas cannot represent.
Solution Approach 2:
The invention implements dynamic time-stepping simulation where the magnetization state evolves continuously under the influence of time-varying effective fields. The simulation advances through multiple time steps, updating magnetization vectors at each element based on the Landau-Lifshitz-Gilbert equation, thereby capturing transient magnetic behaviors and resonance phenomena accurately.
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 allows for high-accuracy simulation of hysterisis loss in high-resistivity magnetic materials, even at high frequencies, by accurately reproducing magnetization changes and resonance effects, leading to improved device design and efficiency.
Implementation Method 1
an effective magnetic field of each area is calculated when magnetization of each area changes and based on a magnetic field generated from magnetic energy in each area and a rate of change of magnetization
Implementation Method 2
loss consequent to the dynamic magnetization process including resonance phenomena and ferromagnetic resonance of domain walls occurs
Implementation Method 3
resonance phenomena and ferromagnetic resonance of domain walls
Implementation Method 4
hysteresis loss (which is a cause of hysteresis in the magnetic substrate)
Implementation Method 5
classic eddy current loss from eddy currents occurring at the magnetic substrate
Data Source
AI summary
A computer-readable medium stores a magnetic substrate simulation program causing a computer to execute a process that includes calculating an effective magnetic field for each area of an element in the magnetic substrate, when magnetization of each area changes and based on a magnetic field generated from magnetic energy in each area and a rate of change of magnetization working in a direction inhibiting change in the average magnetization of the areas; obtaining for each area and based on the calculated effective magnetic fields and magnetization of each area, changes in magnetization and calculating for each area, magnetization after the changes; judging based on magnetization of each area before and after the changes, whether magnetization in the element converges; and storing a combination of the average magnetization of the areas for which magnetization in the given element converges and a static magnetic field based on the average magnetization.