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Krylov Subspace Methods for Harmonic Balanced Finite Element Methods

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Scientific Computing in Electrical Engineering

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 18))

Abstract

A Conjugate Gradient solver is developed for harmonic balanced finite element systems. This approach avoids the construction of real equivalent systems which suffer from worse spectral conditions for Krylov subspace solvers. The application to a transformer with ferromagnetic material shows the better convergence of the Conjugate Gradient solver.

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References

  1. J. Driesen and G. Deliége and Van Craenenbroeck, T. and K. Hameyer, Implementation of the harmonic balance FEM method for large-scale saturated electromagnetic devices, Software for Electrical Engineering and Analysis and Design IV, WIT Press 1999 pages:75–84

    Google Scholar 

  2. 2. S. Yamada and K. Bessho and J. Lu, Harmonic balance finite element method applied to nonlinear AC magnetic analysis, IEEEmagn 1989 Vol. 25 No. 4 pages:2971–2973

    Google Scholar 

  3. 3. L. Vandevelde and J. Gyselinck, J. Melkebeek, Steady-state finite element analysis in the frequency domain of inverter-fed squirrel cage induction motors, Proceedings of the Symposium on Power Electronics, Electrical Drives, Advanced Electrical Motors (SPEEDAM94), Proceedings of SPEEDAM94 1994 pages:29–34

    Google Scholar 

  4. 4. Y. Saad, Iterative Methods for Sparse Linear Systems, PWS Publishing Company Boston 1996

    Google Scholar 

  5. 5. G.H. Golub and Van Loan, CF., Matrix Computations, The John Hopkins University Press Baltimore 1989

    Google Scholar 

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Author information

Authors and Affiliations

  1. Katholieke Universiteit Leuven, Dep. EE (ESAT) / Div, ELEN Kardinaal Mercierlaan 94, B-3001, Leuven, Belgium

    H. De Gersem & Kay Hameyer

  2. Katholieke Universiteit Leuven, Dep. Computer Science Celestijnenlaan 200A, B-3001, Leuven, Belgium

    Stefan Vandewalle

Authors
  1. H. De Gersem
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  2. Stefan Vandewalle
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  3. Kay Hameyer
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Editor information

Editors and Affiliations

  1. Fachbereich Elektrotechnik und Informationstechnik, Universität Rostock, Albert-Einstein-Straße 2, 18051, Rostock, Germany

    Ursula van Rienen  & Dirk Hecht  & 

  2. Institut für Wissenschaftliches Rechnen und Mathematische Modellbildung IWRMM, Universität Karlsruhe, Engesserstraße 6, 76128, Karlsruhe, Germany

    Michael Günther

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© 2001 Springer-Verlag Berlin Heidelberg

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De Gersem, H., Vandewalle, S., Hameyer, K. (2001). Krylov Subspace Methods for Harmonic Balanced Finite Element Methods. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_39

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  • DOI: https://doi.org/10.1007/978-3-642-56470-3_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42173-3

  • Online ISBN: 978-3-642-56470-3

  • eBook Packages: Springer Book Archive

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