Decoupled Magnetostriction Calculation for Transformer Design
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
The complexity of magnetostriction and inverse magnetostriction phenomena makes it difficult to predict and calculate stress and magnetic fields accurately using analytical models, leading to limitations in transformer design and sensor production.
Innovation Solution
A decoupled method is employed to calculate stress and magnetic fields by determining the magnetic field on a magnetic mesh, applying magnetostriction to a mechanical mesh, and accounting for inverse magnetostriction, allowing for separate meshes and solvers for mechanical and magnetic domains, with iterative calculations until convergence is reached.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a coupled analytical model is used to calculate stress and magnetic fields simultaneously, then the interaction between magnetostriction and inverse magnetostriction is captured, but the calculation complexity increases significantly and computation time becomes excessive
Solution Approach 1:
The coupled magneto-mechanical problem is segmented into two separate calculation sequences: (1) magnetic field calculation followed by magnetostriction application, and (2) stress field calculation followed by inverse magnetostriction application. Each sequence can be solved independently with appropriate boundary conditions, avoiding the need to solve the full coupled system simultaneously while still capturing the interaction effects through iterative application.
Solution Approach 2:
The method applies magnetostriction as a preliminary action to the mechanical mesh before solving the stress field, and applies inverse magnetostriction as a preliminary action to the magnetic mesh before solving the updated magnetic field. This preliminary application of coupling effects simplifies the subsequent calculations while maintaining accuracy.
2Reliability
If a single coupled mesh is used for both mechanical and magnetic domains, then the interaction between domains is naturally represented, but the complexity of mesh generation and refinement increases
Solution Approach 1:
The computational domain is segmented into separate mechanical mesh and magnetic mesh, each optimized for its specific domain requirements. The mechanical mesh can use tetrahedral elements suitable for stress analysis, while the magnetic mesh can use hexahedral elements or other configurations optimal for magnetic field calculation. This segmentation allows independent mesh generation and refinement without the constraints of a coupled mesh structure.
Solution Approach 2:
The method uses an intermediary coupling approach where magnetostriction serves as the mediator transferring magnetic field effects to the mechanical domain, and inverse magnetostriction serves as the mediator transferring stress field effects to the magnetic domain. These intermediary effects enable separate meshes to interact accurately without requiring direct geometric coupling.
3Measurement precision
If experts in mechanics and magnetics work on a unified coupled model, then the interaction is naturally captured, but each expert must understand both domains which increases the learning curve and reduces efficiency
Solution Approach 1:
The computational model is segmented into independent mechanical and magnetic components that can be developed, validated, and refined by specialists in各自的领域. The mechanical solver and magnetic solver can be developed separately by mechanics experts and electromagnetics experts respectively, reducing the need for cross-domain expertise while maintaining accurate coupling through the magnetostriction and inverse magnetostriction mechanisms.
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 provides more accurate and faster calculations, enabling experts to refine their models independently, resulting in better insights and reducing noise and vibration issues in transformers and electric motors.
Implementation Method 1
Magnetostriction represents a mechanical deformation of a body in response to the application of a magnetic field
Implementation Method 2
Inverse magnetostriction represents a magnetic flux created when a body is mechanically deformed
Data Source
AI summary
Rapid calculation of magnetostriction effects can consist of calculating a stress field and a magnetic field in a structure by determining a magnetic field on the magnetic mesh, determining a magnetostriction from the magnetic field, applying the magnetostriction to the mechanical mesh, determining a stress field on the mechanical mesh, determining an inverse magnetostriction from the stress field, applying the inverse magnetostriction to the magnetic mesh, and determining a new magnetic field on the magnetic mesh by accounting for the inverse magnetostriction. Calculations can be based on data representing a structure, including a magnetic mesh, a mechanical mesh, and a plurality of material properties. After calculation is completed, data characterizing the calculated stress field and magnetic field for the structure can be provided as output. Related apparatus, systems, techniques, methods and articles are also described.