2D Numerical Modeling of a Bulk HTS Magnetization Based on H Formulation Coupled with Electrical Circuit

Jakub Kapek (1) , Kévin Berger (1) , Michael Rudolf Koblischka (2, 3) , Frédéric Trillaud (4) , Jean Lévêque (1)

1 GREEN - Groupe de Recherche en Energie Electrique de Nancy
2 Institute of Experimental Physics
3 Department of Materials Science and Engineering
4 Instituto de Ingeniera

Bulk High Temperature Superconductors (HTS) can be magnetized and act as permanent magnet much stronger than conventional ones as NdFeB. The design of the inductor is a key point to perform the desired magnetization of the HTS bulk. In this paper, we focus on modeling a Pulsed Field Magnetization (PFM) process of an HTS bulk using a coil powered with a magnetizer. The built model is a 2D axisymmetric problem, based on the H formulation and coupled with electrical equations though the magnetic flux seen by the magnetizing coil. The calculation of this magnetic flux in the H formulation is not trivial and was validated using magnetic vector potential formulation on a coil in the air. Assuming different operating conditions, the bulk HTS is then modeled using four different properties corresponding to air, perfect diamagnetic, copper and HTS. It was shown that simulating a PFM process could lead to different value of peak current and applied magnetic field to the bulk HTS, depending on the critical current density of the bulk, for example. These variations are in the range of the air and diamagnetic cases. Therefore, the proposed method should be used in order to predict a realistic trapped magnetic field in the HTS bulk by taking into account its reaction seen by the coil during the PFM process.

Mots clés: Cuprates; Coils; Bulk conductors; H-formalism; Electromagnetic transient analysis; Eddy currents; Magnetization processes

Domaines: Electromagnétisme; Supraconductivité [cond-mat.supr-con]; Energie électrique

Jakub Kapek, Kévin Berger, Michael Rudolf Koblischka, Frédéric Trillaud, Jean Lévêque. 2D Numerical Modeling of a Bulk HTS Magnetization Based on H Formulation Coupled with Electrical Circuit. IEEE Transactions on Applied Superconductivity, 2019, 29 (5), pp.1-5. ⟨10.1109/TASC.2019.2897331⟩. ⟨hal-01987943v2⟩