Modeling of magnetization curves of partially coupled superconducting filaments with dependence of current density according to applied magnetic field

The quality of magnetic field in the Large Hadron Collider (LHC) main magnets is determined by persistent currents distribution in the superconducting filaments. An examination of the magnetization of these superconducting filaments during the fabrication of the superconducting cable is thus necessary. A finite-element code is developed for prediction of the magnetization. We could compute the magnetization of coupled, partially coupled, and noncoupled superconducting filaments in two dimensions. We could also add the dependence of the current density according to the magnetic field. The effect of the space between the filaments has been studied too