Skip to main content
SpringerLink
Log in

On the steady-state determination of networks containing magnetic nonlinearities

Über die Bestimmung des stationären Zustandes von Netzwerken mit magnetischen Nichtlinearitäten

  • Published:
Archiv für Elektrotechnik Aims and scope Submit manuscript

Contents

In this paper the Newton-Raphson algorithm is applied to obtain the steady-state solution of networks with a weak damping, containing nonlinear reactive elements. The fast obtaining of the steady-state solution is demonstrated in an example, in which the phenomenon of ferroresonance is treated because of its very nonlinear character.

Übersicht

In diesem Aufsatz wird das Newton-Verfahren verwendet für die beschleunigte Berechnung des stationären Zustands von Netzwerken mit nichtlinearen magnetischen Elementen und einer geringen Dämpfung. Diese Methode wird anhand eines Beispieles erläutert.

Dieses Beispiel ist Ferro-Resonanz-Erscheinungen gewidmet, da diese einen stark nichtlinearen Charakter aufweisen.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Aprille, T. J.; Jr. Trick, T. N.: Steady-State Analysis of Nonlinear Circuits with Periodic Inputs. Proceedings of the IEEE 60 (1972) 108–144

    Article  MathSciNet  MATH  Google Scholar 

  2. Chua, L. O.; Lin, P.-M.: Computer-Aided Analysis of Electronic Circuits. Prentice-Hall Inc., Englewood Cliffs, 1975

    MATH  Google Scholar 

  3. Ho, Chung-Wen; Ruehli, A. E.; Brennan, P. A.: The Modified Nodal Approach to Network Analysis. IEEE Trans. Circuits Syst. CAS-22 (1975) 504–509

    Article  Google Scholar 

  4. Lutz, R. von: Bestimmung des stationären Betriebsverhaltens von Stromrichterschaltungen mittels Newton-Verfahren. Arch. Elektrotech. 68 (1985) 355–363

    Article  Google Scholar 

  5. MacFayden, W. K. et al.: Representation of Magnetisation Curves by Exponential Series. Proceedings of the IEE. 120 (1973) 902–904

    Google Scholar 

  6. Semleyen, A. et al.: Newton-type algorithms for the harmonic phasor analysis of non-linear power circuits in periodical steady state with special reference to magnetic non-linearities. IEEE Trans. Power Delivery. 3 (1988) 1090–1098

    Article  Google Scholar 

  7. Zein, D. A.: On the Periodic Steady-State Problem by the Newton Method. IEEE Trans. Circuits Syst. CAS-27 (1980) 1264–1268

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Power Systems Laboratory, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, The Netherlands

    G. C. Paap &  E. J. A. Vos

Authors
  1. G. C. Paap
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. J. A. Vos
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Paap, G.C., Vos, E.J.A. On the steady-state determination of networks containing magnetic nonlinearities. Archiv f. Elektrotechnik 73, 109–114 (1990). https://doi.org/10.1007/BF01573454

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01573454

Keywords

Search

Navigation