Direct steady-state solutions for circuit models of nonlinear electromagnetic devices

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

     Cracow University of Technology

     Kraków, Polonia

     
  2. [2] Technical Institute, State Higher Vocational School in Nowy Sącz, Polonia
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 40, Nº 3, 2021, págs. 660-675
• Idioma: inglés
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• Resumen

  • Purpose This paper aims to omit the difficulties of directly finding the periodic steady-state solutions for electromagnetic devices described by circuit models.

    Design/methodology/approach Determine the discrete integral operator of periodic functions and develop an iterative algorithm determining steady-state solutions by a multiplication of matrices only.

    Findings An alternative method to creating finite-difference relations directly determining steady-state solutions in the time domain.

    Research limitations/implications Reduction of software and hardware requirements for determining steady-states of electromagnetic.

    Practical implications A unified approach for directly finding steady-state solutions for ordinary nonlinear differential equations presented in the normal form.

    Originality/value Eliminate the necessity of solving high-order finite-difference equations for steady-state analysis of electromagnetic devices described by circuit models.