Numerical Modeling of Superconducting Applications

Abstract

Superconductors enable many large-scale electric applications, both current and under research, with a high potential to cause important breakthroughs in human development. These are, for example, the reduction of emissions responsible for the climate crisis through energy generation (fusion and offshore wind turbines), electric transportation (electric and hybrid-electric airplanes or sea vessels), and energy-efficient electric networks (power-transmission cables and transformers). Superconductors also enable novel medical instruments, such as (high-field) magnetic resonance imaging (MRI) and accelerators for ion cancer therapy. Last but not least, superconducting magnets made it possible to conduct some of the largest experiments in fundamental research in the world, involving particle accelerators and detectors, such as the large hadron collider (LHC).

Design and Numerical Study of Magnetic Energy Storage in Toroidal Superconducting Magnets Made of YBCO and BSCCO

“…We can express the problem directly in terms of the field variables (e.g., the magnetic field H and/or the electric field E) or in terms of combination of electric or magnetic potentials. (A-V, T-A, T-V) [34,35]. The idea behind the T-A approach is to solve the current vector potential T only in the superconducting domain, while the magnetic vector potential A is solved for the whole domain.…”