TY - JOUR
T1 - Dynamic Magnetic Scalar Hysteresis Lump Model Based on Jiles-Atherton Quasi-Static Hysteresis Model Extended with Dynamic Fractional Derivative Contribution
AU - Zhang, B.
AU - Gupta, B.
AU - Ducharne, B.
AU - Sebald, G.
AU - Uchimoto, T.
N1 - Funding Information:
ACKNOWLEDGEMENT This work was supported by the Institute of Fluid Science from Tohoku University through the General Collaborative Program Project J17I065.
Publisher Copyright:
© 1965-2012 IEEE.
PY - 2018/11
Y1 - 2018/11
N2 - Accurate and simple magnetic material law is necessary to correctly model the complete electromagnetic systems. In this paper, a new formulation based on the scalar quasi-static hysteresis Jiles-Atherton model extended to dynamic behavior using fractional derivative dynamic contribution is proposed. The fractional contribution is solved using convolution which highly reduces the numerical issues. The order of the fractional derivation provides a new degree of freedom and allows obtaining correct simulation results on a very large frequency bandwidth. By using such a formulation, high-memory and time-consuming space discretization techniques (finite differences and finite elements) are avoided while keeping the global accurate simulation results.
AB - Accurate and simple magnetic material law is necessary to correctly model the complete electromagnetic systems. In this paper, a new formulation based on the scalar quasi-static hysteresis Jiles-Atherton model extended to dynamic behavior using fractional derivative dynamic contribution is proposed. The fractional contribution is solved using convolution which highly reduces the numerical issues. The order of the fractional derivation provides a new degree of freedom and allows obtaining correct simulation results on a very large frequency bandwidth. By using such a formulation, high-memory and time-consuming space discretization techniques (finite differences and finite elements) are avoided while keeping the global accurate simulation results.
KW - Ferromagnetic materials
KW - Jiles-Atherton (J-A) model
KW - fractional derivatives
KW - hysteresis
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U2 - 10.1109/TMAG.2018.2832242
DO - 10.1109/TMAG.2018.2832242
M3 - Article
AN - SCOPUS:85049147891
SN - 0018-9464
VL - 54
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
IS - 11
M1 - 7301605
ER -