2-D numerical modeling of a bulk HTS magnetization based on H formulation coupled with electrical circuit

Jakub Kapek, Kevin Berger, Michael Rudolf Koblischka, Frederic Trillaud, Jean Leveque

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 2-D 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.

Original languageEnglish
Article number8633952
JournalIEEE Transactions on Applied Superconductivity
Issue number5
Publication statusPublished - 2019 Aug
Externally publishedYes


  • Bulk conductors
  • H formulation
  • coils
  • cuprates
  • eddy currents
  • electromagnetic transient analysis
  • magnetization processes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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