A Coupled A-H Formulation for Magneto-Thermal Transients in High-Temperature Superconducting Magnets

TL;DR

This paper introduces a coupled A-H field formulation to accurately simulate magneto-thermal transients in high-temperature superconducting accelerator magnets, enabling large-scale modeling of complex superconducting systems.

Contribution

The paper develops a novel coupled A-H formulation that efficiently models magneto-thermal behavior in large-scale superconducting magnets, including a slab approximation for source regions.

Findings

Formulation accurately models magneto-thermal transients.

Numerical results verify the formulation's effectiveness.

Scalable to large accelerator magnet systems.

Abstract

The application of high-temperature superconductors to accelerator magnets for future particle colliders is under study. Numerical methods are crucial for an accurate evaluation of the complex dynamical behavior of the magnets, especially concerning the magnetic field quality and thermal behavior. We present a coupled $\textbf{A}$-$\textbf{H}$ field formulation for the analysis of magneto-thermal transients in accelerator magnets. The magnetic field strength $\textbf{H}$ accounts for the eddy current problem in the source regions containing the superconducting domains, while the magnetic vector potential $\textbf{A}$ represents the magnetoquasistatic problem in the normal and non-conducting domains. Furthermore, we include a slab approximation for the source regions, making the formulation suitable for large scale models composed of thousands of tapes. In this work, the relevant equations are derived and discussed, with emphasis on the coupling conditions. The weak formulation is derived, and numerical results are provided in order to both, verify the formulation and scale it to the size of an accelerator magnet.