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

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Опубліковано в::Compel vol. 32, no. 5 (2013), p. 1749-1759
Автор: Takahashi, Norio
Інші автори: Shimomura, Kousuke, Miyagi, Daisuke, Kaimori, Hiroyuki
Опубліковано:
Emerald Group Publishing Limited
Предмети:
Newton-Raphson method
Convergence
Magnetic fields
Nonlinear analysis
Design modifications
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Короткий огляд: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.
ISSN:0332-1649
2054-5606
DOI:10.1108/COMPEL-04-2013-0126
Джерело:ABI/INFORM Global