Title :
Convergence Acceleration of Time-Periodic Electromagnetic Field Analysis by the Singularity Decomposition-Explicit Error Correction Method
Author :
Takahashi, Yasuhito ; Tokumasu, Tadashi ; Kameari, Akihisa ; Kaimori, Hiroyuki ; Fujita, Masafumi ; Iwashita, Takeshi ; Wakao, Shinji
Author_Institution :
Dept. of Syst. Sci., Kyoto Univ., Kyoto, Japan
Abstract :
This paper proposes a novel method for the improvement of the convergence to a steady state in time-periodic transient nonlinear eddy-current analyses. The proposed method, which is based on the time-periodic finite element method and the singularity decomposition-explicit error correction method, can extract poorly converged error components corresponding to the large time constants of an analyzed system. The correction of the extracted error components efficiently accelerates the convergence to a steady state. Numerical results verify the effectiveness of the proposed method.
Keywords :
convergence; electromagnetic fields; error analysis; finite element analysis; converged error components; convergence acceleration; convergence improvement; extracted error component correction; singularity decomposition-explicit error correction method; steady state; time constants; time-periodic electromagnetic field analysis; time-periodic finite element method; time-periodic transient nonlinear eddy-current analyses; Acceleration; Convergence; Electromagnetic analysis; Electromagnetic fields; Error correction; Finite element methods; Magnetic analysis; Power system transients; Steady-state; Transient analysis; Explicit error correction (EEC) method; steady state; time-periodic finite element method (TPFEM); transient analysis;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2010.2043721