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  6. [Analysis Case] Magnetic Field Analysis of Superconductors Considering the Critical State Model

[Analysis Case] Magnetic Field Analysis of Superconductors Considering the Critical State Model

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last updated:May 28, 2026

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The software used is "PHOTO-EDDY"! It is also possible to analyze Kim models that depend on magnetic flux density.

Models that describe superconductors include the critical state model and the Kim model. The critical state model is a physical model that assumes a balance between the Lorentz force acting on the vortices and the pinning force caused by impurities inside the superconductor. In "PHOTO-EDDY," users can specify the constitutive equations, allowing for analysis not only with a constant Jc but also with the Kim model, where Jc depends on the magnetic flux density. The choice of which equations to use is up to the user. While care must be taken regarding the convergence of calculations, a high degree of freedom in input methods is available. 【Case Overview】 ■ Software Used: PHOTO-EDDY ■ Analysis Results - The superconductor was modeled using the critical state model, with a critical current density Jc of 1.0×10^9 [A/m²]. - When in a hollow core, the input current was adjusted so that the magnetic flux density at the center of the coil reached a maximum of 5 [T]. *For more details, please refer to the PDF document or feel free to contact us.

    Magnetic field analysis/electromagnetic wave analysisContract AnalysisAnalysis Services
2022-11-21_15h26_56.png

[Analysis Case] Magnetic Field Analysis of Superconductors Considering the Critical State Model

2022-11-21_15h26_56.png
2022-11-21_15h26_56.png
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[Analysis Case EDDY-1] Magnetic Field Analysis of Superconductors Considering the Critical State Model

[Analysis Case EDDY-1] Magnetic Field Analysis of Superconductors Considering the Critical State Model

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At Photon, we are developing "electromagnetic field analysis software" that models and simulates products and components utilizing electromagnetic phenomena on a computer. In traditional design and development environments, the process has primarily revolved around trial and error through prototyping based on the experience of engineers and experiments with prototypes. However, conducting experiments using actual prototypes and analyzing the results requires significant time and cost. Moving forward, transitioning from an experimental and prototyping-based approach to an analysis-based design approach will be a crucial challenge for improving productivity, and establishing simulation technology as the core of analysis-based design techniques will be essential. In this context, Photon is developing and providing "analysis software" focusing on electromagnetic fields, as well as heat, vibration, and sound fields. By utilizing Photon's software, efficient development and design of various industrial products can be achieved. In this way, Photon aims to support users in reducing the number of prototypes, lowering development costs, and shortening development periods in their manufacturing environments, ultimately enhancing their competitiveness.

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