Comparison of three eddy current formulations for superconductor hysteresis loss modelling

V. Lahtinen*, M. Lyly, A. Stenvall, T. Tarhasaari

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

40 Citations (Scopus)


As is well known, the superconductor hysteresis loss modelling problem may be formulated as an eddy current (EC) problem in which the resistivity of the superconducting region is modelled with a power law. We compare three EC formulations suitable for the modelling of superconductor hysteresis losses. Namely, the a-v-j-, T - and h-formulations are discussed. We review these formulations, and through simulation results the properties of these formulations are discussed and their suitabilities for different modelling situations are compared. Special attention is paid to the h-formulation: we investigate the effects of the modelling decisions related to resistivity of the air region in an h-formulation based EC solver. According to the results, these decisions affect the energy distribution of the field solution and may even lead to seemingly contradictory behaviour.

Original languageEnglish
Article number115001
JournalSuperconductor Science and Technology
Issue number11
Publication statusPublished - 1 Nov 2012
MoE publication typeA1 Journal article-refereed


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