Optimal Convergence of the Fixed-Point Method for Nonlinear Eddy Current Problems

• Published in: IEEE transactions on magnetics Vol. 45; no. 3; pp. 948 - 951
• Main Authors: Koczka, G., Auberhofer, S., Biro, O., Preis, K.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.03.2009; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Convergence; Convergence of numerical methods; Cross-disciplinary physics: materials science; rheology; Current density; Differential equations; Eddy currents; Exact sciences and technology; Fourier transforms; Frequency domain analysis; Magnetism; Materials science; Moment methods; Nonlinear equations; Nonlinearity; Numerical analysis; Optimization; Other topics in materials science; Physics; Steady-state; Time domain; Fourier transformation; Convergence of numerical methods; Fourier transforms; Eddy currents; numerical analysis; Magnetic properties
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2009.2012477

A method is presented for the optimal choice of the fixed-point reluctivity in nonlinear eddy current problems solved for steady-state in the frequency and the time domain. The optimal selection is shown to ensure a minimal contraction number for the fixed-point method. The proposed technique is compared to earlier approaches using a 2-D example.