IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v14y2026i9p1493-d1931269.html

A Very Fast Method for Solving Electrical Circuits with Nonlinear Resistive Elements

Author

Listed:
  • Claudiu Tufan

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania)

  • Alexandru Gabriel Gheorghe

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania)

  • George Marian Vasilescu

    (Electrical Engineering Faculty, National University of Science and Technology POLITEHNICA Bucharest, 060042 Bucharest, Romania)

Abstract

We present an improved version of the Hănțilă Method (HM) for circuits with multiple nonlinear resistive elements (NRCEs). The method replaces NRCEs with generators consisting of linear resistors and nonlinear controlled sources, whose values are updated iteratively. At each iteration, the resulting linear circuit is solved in the frequency domain for each harmonic. We evaluate the computational effort and compare computation times and results with those obtained using conventional methods applied to a circuit comprising parallel-connected single-phase half-wave rectifiers.

Suggested Citation

  • Claudiu Tufan & Alexandru Gabriel Gheorghe & George Marian Vasilescu, 2026. "A Very Fast Method for Solving Electrical Circuits with Nonlinear Resistive Elements," Mathematics, MDPI, vol. 14(9), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:14:y:2026:i:9:p:1493-:d:1931269
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/14/9/1493/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/14/9/1493/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:14:y:2026:i:9:p:1493-:d:1931269. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager The email address of this maintainer does not seem to be valid anymore. Please ask MDPI Indexing Manager to update the entry or send us the correct address (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.