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Balanced Truncation Model Reduction for 3D Linear Magneto-Quasistatic Field Problems

In: Realization and Model Reduction of Dynamical Systems

Author

Listed:
  • Johanna Kerler-Back

    (ESG Elektroniksystem- und Logistik-GmbH)

  • Tatjana Stykel

    (Universität Augsburg, Institut für Mathematik)

Abstract

We consider linear magneto-quasistatic field equations which arise in simulation of low-frequency electromagnetic devices coupled to electrical circuits. A finite element discretization of such equations on 3D domains leads to a singular system of differential-algebraic equations. First, we study the structural properties of such a system and present a new regularization approach based on projecting out the singular state components. Furthermore, we consider a Lyapunov-based balanced truncation model reduction method which preserves stability and passivity. By making use of the underlying structure of the problem, we develop an efficient model reduction algorithm. Numerical experiments demonstrate its performance on a test example.

Suggested Citation

  • Johanna Kerler-Back & Tatjana Stykel, 2022. "Balanced Truncation Model Reduction for 3D Linear Magneto-Quasistatic Field Problems," Springer Books, in: Christopher Beattie & Peter Benner & Mark Embree & Serkan Gugercin & Sanda Lefteriu (ed.), Realization and Model Reduction of Dynamical Systems, pages 273-297, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-95157-3_15
    DOI: 10.1007/978-3-030-95157-3_15
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