# Optimized Field/Circuit Coupling for the Simulation of Quenches in Superconducting Magnets

## TL;DR

This paper introduces an optimized coupling method for simulating quench transients in superconducting magnets, enhancing convergence and efficiency in multi-physics, multi-scale simulations of magnetothermal phenomena.

## Contribution

It develops a novel field/circuit coupling framework with an equivalent magnet model, improving simulation convergence for superconducting magnet transients.

## Key findings

- Enhanced convergence of the iterative coupling scheme.
- Effective simulation of magnetothermal transients during faults.
- Validated approach on an accelerator dipole magnet example.

## Abstract

In this paper, we propose an optimized field/circuit coupling approach for the simulation of magnetothermal transients in superconducting magnets. The approach improves the convergence of the iterative coupling scheme between a magnetothermal partial differential model and an electrical lumped-element circuit. Such a multi-physics, multi-rate and multi-scale problem requires a consistent formulation and a dedicated framework to tackle the challenging transient effects occurring at both circuit and magnet level during normal operation and in case of faults. We derive an equivalent magnet model at the circuit side for the linear and the non-linear settings and discuss the convergence of the overall scheme in the framework of optimized Schwarz methods. The efficiency of the developed approach is illustrated by a numerical example of an accelerator dipole magnet with accompanying protection system.