A new approach to steady state analysis of nonlinear electrical circuits

• Tadeusz Sobczyk ^[1] ; Michał Radzik ^[2]
  1. [1] Cracow University of Technology

     Cracow University of Technology

     Kraków, Polonia

     
  2. [2] State Higher Vocational School in Nowy Sącz
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 36, Nº 3 (Special Issue: EPNC 2016), 2017, págs. 716-728
• Idioma: inglés
• Enlaces
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• Resumen

  • Purpose – The purpose of this study is to identify a novel methodology for direct calculation of steady-state periodic solutions for electrical circuits described by nonlinear differential equations, in the time domain.

    Design/methodology/approach – An iterative algorithm was created to determine periodic steadystate solutions for circuits with nonlinear elements in a chosen set of time instants.

    Findings – This study found a novel differential operator for periodic functions and its application in the steady-state analysis.

    Research limitations/implications – This approach can be extended to the determination of two- or multi-periodic solutions of nonlinear dynamic systems.

    Practical implications – The complexity of the steady-state analysis can be reduced in comparison with the frequency-domain approach.

    Originality/value – This study identified novel difference equations for direct steady-state analysis of nonlinear electrical circuits.