Direct determination of two-periodic solution for nonlinear dynamic systems

T. Sobczyk ^[1]
1. [1] Cracow University of Technology
  
  Cracow University of Technology
  
  Kraków, Polonia
Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 13, Nº 3, 1994, págs. 509-529
Idioma: inglés
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Resumen
- This paper presents a Newton‐Raphson algorithm for determining the Fourier spectrum of two‐periodic solutions for dynamic systems described by nonlinear ordinary differential equations. Assuming that two basic frequencies are known, the coefficients of a double Fourier series result from this algorithm. An application to the analysis of electromagnetic phenomena in electromechanical converters is described. In an example, of the steady‐state performances of current in a simple converter, the algorithm is tested with very good results.