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使用黑默斯坦結構模擬電磁磁滯

Modeling of magnetic hysteresis using the Hammerstein configuration

摘要


本研究以黑默斯坦結構來建構電磁磁滯模型,黑默斯坦結構中的非線性的靜態方塊是以Preisach磁滯模型來實現,而線性的動態方塊則是以簡單的二階低通濾波器來實現。Preisach磁滯模型所需要的資料僅僅是磁滯的主迴圈(Major Loop)中的向下極限曲線B^d(H),在本研究中,模擬此曲線的公式僅需要四個參數(H_c、B_r、 H_(sat)及B_(sat)),這些參數可以由電磁材料的目錄中獲得。使用本研究所發展出的模型,能補捉到電磁元件中的暫態和穩態之電磁磁滯響應,並縮短電磁元件之有效設計時間。

並列摘要


This research builds a magnetic hysteresis model using the Hammerstein configuration. The nonlinear static block in the Hammerstein configuration is realized by the Preisach hysteresis model, while the linear dynamic block realized by a 2-D low-pass filter. The only data needed in the Preisach hysteresis model is the downward limiting curve B^d(H) in the major loop. In this research, the equation used to model B^d(H) only contains four parameters, H_c, B_r, H_(sat), and B_(sat), which can be obtained from the catalog of the magnetic material. Using the model developed in the research, it is able to capture the transient and static hysteresis phenomena, and to reduce the effective time in the design of magnetic devices.

參考文獻


Preisach, V.F. (1935). UberDie Magnetische Nachwirkung. Zeitschrift fur Physik, Bd. 94, 277.
Jiles, D.C. and Atherton, D.L. (1986). Theory of Ferromagnetic Hysteresis. Journal of Magnetism and Magnetic Materials, 61, 48-60.
Jiles, D.C. (1993). Frequency Dependence of Hysteresis Curves in Non-Conducting Magnetic Materials. IEEE Transactions on Magnetics, 29, 6, 3490-3492.
Leite, J.V., Sadowski, N., Kuo-Peng, P., Batistela, N.J., Bastos, J.P.A. and de Espíndola, A.A. (2004). Inverse Jiles-Atherton Vector Hysteresis Model. IEEE Transactions on Magnetics, 40, 4, 1769-1775.
Henrotte, F. and Hameyer K. (2006) A Dynamical Vector Hysteresis Model Based on an Energy Approach. IEEE Transactions on Magnetics, 42, 4, 899-902.

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