Inrush current computations using an optimised analytical hysteresis model

Werner Renhart*, Oszkár Bíró, Christian Magele, Kurt Preis, Alexander Rabel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Purpose-The purpose of this paper is the modelling and estimation of inrush currents while energising power devices under no load conditions. An analytical representation of the nonlinear B-H curve serves for considering the hysteresis behaviour in the numerical model. Design/methodology/approach-The model is implemented into a standard finite element formulation to compute transient problems. Findings-Inrush currents behave like faults in power distribution facilities. Its prior estimation helps to distinguish between operating conditions and faults. Research limitations/implications-The magnetic cores may become extremely magnetised. At such high material saturations, the material characteristics are not measurable accurately. Hence, the results depend on the extrapolation of the B-H curves. Originality/value-The use of first-order reversal curves within the major hysteresis loops helps in a convenient way to estimate peak and shape of the inrush currents.

Original languageEnglish
Pages (from-to)1568-1576
Number of pages9
JournalCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Issue number5
Publication statusPublished - 2017


  • First-order reversal curve
  • Hysteresis
  • Inrush current
  • Magnetization curve

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Applied Mathematics


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