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This paper presents the Reduced Order Hysteretic Magnetization (ROHM) model, a computational approach for predicting the magnetic behavior and power loss in composite superconductors exposed to time-varying magnetic fields. The model provides two versions: a rate-independent version that captures hysteresis effects in superconducting filaments, and a rate-dependent version that additionally accounts for dynamic effects from coupling and eddy currents. Once calibrated with reference simulations, the ROHM model can efficiently compute macroscopic responses without solving detailed current distributions, significantly reducing computational costs in large-scale superconducting applications.
Why it matters
This computational tool could accelerate the design and optimization of superconducting devices such as magnets for particle accelerators, MRI machines, and fusion reactors by reducing simulation time while maintaining accuracy. The ability to efficiently model composite superconductors across various frequencies and field amplitudes enables more practical engineering calculations for next-generation superconducting technologies.
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⚠️ Preprint – Noch nicht peer-reviewed
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Abstract: In this paper, we propose the Reduced Order Hysteretic Magnetization (ROHM) model to describe the magnetization and instantaneous power loss of composite superconductors subject to time-varying magnetic fields. Once the parameters of the ROHM model are fixed based on reference simulations, it allows to directly compute the macroscopic response of composite superconductors without the need to solve the detailed current density distribution. It can then be used as part of a homogenization method in large-scale superconducting models to significantly reduce the computational effort compared to detailed simulations. In this contribution, we focus on the case of a strand with twisted superconducting filaments subject to a time-varying transverse magnetic field. We propose two variations of the ROHM model: (i) a rate-independent model that reproduces hysteresis in the filaments, and (ii) a rate-dependent model that generalizes the first level by also reproducing dynamic effects due to coupling and eddy currents. We then describe the implementation and inclusion of the ROHM model in a finite element framework, discuss how to deduce the model parameters, and finally demonstrate the capabilities of the approach in terms of accuracy and efficiency over a wide range of excitation frequencies and amplitudes.
Source: Reduced Order Hysteretic Magnetization Model for Composite Superconductors