Speed-up of nonlinear magnetic field analysis using a modified fixed-point method

• Norio Takahashi ^[1] ; Kousuke Shimomura ^[1] ; Daisuke Miyagi ^[2] ; Hiroyuki Kaimori ^[3]
  1. [1] Okayama University

     Okayama University

     Naka-ku, Japón

     
  2. [2] Tohoku University

     Tohoku University

     Aoba-ku, Japón

     
  3. [3] Science Solutions Int. Lab.

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• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 32, Nº 5, 2013, págs. 1749-1759
• Idioma: inglés
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• Resumen

  • Purpose – The purpose of this paper is to propose the speed-up of the fixed-point method by updating the reluctivity at each iteration (this is called a modified fixed-point method).

    Design/methodology/approach – A modified fixed-point method, which updates the derivative of reluctivity at each iteration, is proposed. It is shown that the formulation of the fixed-point method using the derivative of reluctivity is almost the same as that of the Newton-Raphson method. The convergence characteristic of the newly proposed fixed-point method is compared with those of the Newton-Raphson method.

    Findings – The modified fixed-point method has an advantage that the programming is easy and it has a similar convergence property to the Newton-Raphson method for an isotropic nonlinear problem.

    Originality/value – This paper presents the formulation and convergence characteristic of the modified fixed-point method are almost the same as those of the Newton-Raphson method.