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We present the energy-based hysteresis model and its efficient formulation for finite element simulations. Numerical computations of an electric transformer and a permanent magnet synchronous machine demonstrate the practical applicability of the vector hysteresis model. The main focus is on a thermodynamically consistent derivation of the vector hysteresis model, clearly splitting the reversible and irreversible parts. An efficient optimisation strategy is presented for the fast and accurate evaluation of the hysteresis model, which is of the utmost importance when used in finite element simulations.

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Energy-Based Hysteresis Model for Ferromagnetic Materials and Efficient Finite Element Formulation

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  • 发表日期：

    2026年

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  • Manfred Kaltenbacher,
  • Klaus Roppert

摘要

We present the energy-based hysteresis model and its efficient formulation for finite element simulations. Numerical computations of an electric transformer and a permanent magnet synchronous machine demonstrate the practical applicability of the vector hysteresis model. The main focus is on a thermodynamically consistent derivation of the vector hysteresis model, clearly splitting the reversible and irreversible parts. An efficient optimisation strategy is presented for the fast and accurate evaluation of the hysteresis model, which is of the utmost importance when used in finite element simulations.