TY - JOUR
T1 - Comparison between fast steady-state analysis methods for time-periodic nonlinear magnetic field problems
AU - Takahashi, Yasuhito
AU - Tokumasu, Tadashi
AU - Fujita, Masafumi
AU - Wakao, Shinji
AU - Fujiwara, Koji
AU - Ishihara, Yoshiyuki
N1 - Funding Information:
ACKNOWLEDGMENT This work was supported in part by the Japan Society for the Promotion of Science, Grant-in-Aid for Young Scientists (B), 23760271.
PY - 2012/2
Y1 - 2012/2
N2 - This paper investigates the effectiveness of various methods to accelerate the convergence to a steady state in time-periodic electromagnetic field problems. We first introduce the time-periodic explicit error correction (TP-EEC) method taking account of both the dc and linearly-varying error components and propose the harmonics TP-EEC method which enables us to achieve the increase in error correction frequency. Then, we discuss the convergence property of the TP-EEC methods based on the error analysis. The advantages and disadvantages of the TP-EEC method and the time differential correction (TDC) method are investigated from the viewpoints of computational costs and application scope.
AB - This paper investigates the effectiveness of various methods to accelerate the convergence to a steady state in time-periodic electromagnetic field problems. We first introduce the time-periodic explicit error correction (TP-EEC) method taking account of both the dc and linearly-varying error components and propose the harmonics TP-EEC method which enables us to achieve the increase in error correction frequency. Then, we discuss the convergence property of the TP-EEC methods based on the error analysis. The advantages and disadvantages of the TP-EEC method and the time differential correction (TDC) method are investigated from the viewpoints of computational costs and application scope.
KW - Finite-element method
KW - steady-state analysis
KW - time differential correction (TDC) method
KW - time-periodic explicit error correction (TP-EEC) method
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U2 - 10.1109/TMAG.2011.2172579
DO - 10.1109/TMAG.2011.2172579
M3 - Article
AN - SCOPUS:84856396632
VL - 48
SP - 235
EP - 238
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
SN - 0018-9464
IS - 2
M1 - 6136785
ER -