Skip to main content

Two Finite-Element Thin-Sheet Approaches in the Electro-Quasistatic Formulation

  • Chapter
  • First Online:
Scientific Computing in Electrical Engineering SCEE 2010

Part of the book series: Mathematics in Industry ((TECMI,volume 16))

  • 1384 Accesses

Abstract

Two finite-element approaches to cope with thin sheets in the electro-quasistatic formulation are presented. Both rely on the well-known strategy to reduce the sheet volume to a surface. In the first approach, polynomials in the lateral direction are used to allow for a field variation across the sheet. Using the second method, the presence of the thin sheet is modeled by a modification of the local discretization. In contrast to the first approach, here, no additional degrees of freedom are introduced. The different methods are compared to a conventional solution based on simple test examples.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Nakata, T., Takahashi, N., Fujiwara, K., Shiraki, Y.: 3-D magnetic field analysis using special elements. IEEE Trans. Magn. 26(5), 2379–2381 (1990)

    Article  Google Scholar 

  2. Krähenbühl, L., Muller, D.: Thin layers in electrical engineering-example of shell models in Analysing Eddy-Currents by boundary and finite element methods. IEEE Trans. Magn. 29(2), 1450–1455 (1993)

    Article  Google Scholar 

  3. Dular, P., Geuzaine, C.: Modeling of thin insulating layers with dual 3-D magnetodynamic formulations. IEEE Trans. Magn. 39(3), 1139–1142 (2003)

    Article  Google Scholar 

  4. Gyselinck, J., Sabariego, R., Dular, P., Geuzaine, C.: Time-domain finite-element modeling of thin electromagnetic shells. IEEE Trans. Magn. 44(6), 742–745 (2008)

    Article  Google Scholar 

  5. Schmidt, K.: High-order numerical modeling of highly conductive thin sheets. Ph.D. thesis, ETH Zürich (2008)

    Google Scholar 

  6. Ren, Z.: Degenerated Whitney prism elements-general nodal and edge shell elements for field computation in thin structures. IEEE Trans. Magn. 34(5), 2547–2550 (1998)

    Article  Google Scholar 

  7. Abenius, E., Edelvik, F.: Thin sheet modeling using shell elements in the finite-element time-domain method. IEEE Trans. Antennas Propag. 54(1), 28–34 (2006)

    Article  Google Scholar 

  8. Weida, D., Steinmetz, T., Clemens, M.: Electro-quasistatic high voltage field simulations of large scale insulator structures including 2-D models for nonlinear field-grading material layers. IEEE Trans. Magn. 45(3) (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jens Trommler .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Trommler, J., Koch, S., Weiland, T. (2012). Two Finite-Element Thin-Sheet Approaches in the Electro-Quasistatic Formulation. In: Michielsen, B., Poirier, JR. (eds) Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry(), vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22453-9_13

Download citation

Publish with us

Policies and ethics