Anisotropic Vector Hysteresis Analysis with Relaxation Factor
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Solution Overview
Problem
Current computational simulations for magnetic hysteresis analysis, particularly in anisotropic materials, face challenges in accurately modeling and predicting magnetization behavior due to complex hysteresis loops and the need for extensive experimental data for parameter identification, which is time-consuming and complicated.
Innovation Solution
The development of systems and methods that determine magnetic hysteresis loops using a relaxation factor with magnetic field or flux density corrections, applying an anisotropic vector play model, and employing iterative algorithms to stabilize convergence, allowing for reduced computational complexity and efficient data processing.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If complex hysteresis loops and extensive experimental data are used for parameter identification in anisotropic materials, then modeling accuracy is improved, but computational time and complexity increase significantly
Solution Approach 1:
The patent transforms the complex anisotropic hysteresis problem into a series of simpler isotropic hysteresis problems by changing the coordinate system parameters. By rotating the coordinate system to align with principal material axes and applying sequential magnetic fields along these axes, the complex anisotropic behavior is decomposed into manageable isotropic components that can be solved more efficiently
Solution Approach 2:
The patent segments the complex anisotropic hysteresis analysis into multiple sequential isotropic analyses. By dividing the problem into steps involving different coordinate system orientations and sequential field applications along principal axes, the overall computational task is broken down into smaller, more efficient sub-problems that maintain accuracy while reducing total computational time
2Reliability
If extensive experimental data is collected for parameter identification, then model reliability is improved, but the complexity of data processing and parameter identification increases
Solution Approach 1:
The patent simplifies parameter identification by changing the approach from direct anisotropic parameter extraction to sequential isotropic parameter measurement. By measuring hysteresis loops along the principal material axes in sequence and transforming results back to the global coordinate system, the complexity of data processing is significantly reduced while maintaining model reliability
Solution Approach 2:
The patent inverts the traditional approach by first performing measurements in the simplified isotropic principal axis coordinate system and then transforming the results to the global anisotropic coordinate system. This reverse engineering approach simplifies the measurement and data processing procedures while preserving the accuracy needed for anisotropic material modeling
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
These methods enable accurate prediction of magnetization behavior in anisotropic materials with reduced computational effort and simplified parameter identification, improving the efficiency of finite element analysis in simulating magnetic hysteresis.
Implementation Method 1
The phenomenon of isotropic and anisotropic magnetic hysteresis has been observed in various magnetic materials which are used in electrical devices. To model the magnetic hysteresis behavior, a hysteresis model can be implemented in simulation software.
Data Source
AI summary
Systems and methods are provided for analyzing magnetic hysteresis of anisotropic magnetic materials. Magnetic hysteresis loops associated with a local coordinate of a coordinated system based on a magnetic field successively applied to each principal axis with an isotropic vector play model are determined. A relaxation factor associated with the convergence behaviors of estimated solution points is applied along with a correction, either a magnetic field correction or a flux density correction, to determine target points on magnetic hysteresis loops. An error between magnetic hysteresis loops and the estimated solution points is determined. The iteration process continues up to a preset number of iterations with alternating correction schemes based on the determined error.