Flux pumps provide a promising solution for contactless charging of high-
temperature superconducting (HTS) coils, eliminating the need for bulk current leads
and reducing the heat burden for the cryogenic system. Characterizing the nonlinear
effects of an HTS coil charged by a flux pump and understanding the dynamics of
the charging process is essential for promoting the practical application of flux pumps.
Numerical models provide a fast and cost-effective way of achieving this. In this study,
we propose a methodology for coupling HTS coil and flux pump models using an
electrical circuit, resulting in reduced computation costs. We validate the effectiveness
of our approach against the experimental results of an HTS coil charged by a dynamo-
type flux pump. Specifically, we obtain the voltage produced by the HTS dynamo using
a 3D model based on the minimum electromagnetic entropy production (MEMEP)
method and apply this voltage to the load HTS coil using a T-A formulation finite-
element method (FEM) model coupled via an electrical circuit. The simulated charging
current shows good agreement with experimental observations, validating our modeling
strategy. The results demonstrate that the flux flow state in the HTS coil is the
primary factor limiting the charging performance of the HTS dynamo as the charging
current approaches the coil’s critical current. Furthermore, based on the simulation,
we demonstrate that, when using flux pumps, it is advisable to leave a margin between
the operating current and the critical current of the coil. Overall, our approach has
the potential to be applied to HTS coils charged by any device.