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Fixed-Point Harmonic-Balanced Method for Nonlinear Eddy Current Problems
International Journal of Energy and Power Engineering
Volume 5, Issue 1-1, February 2016, Pages: 37-41
Received: Sep. 21, 2015; Accepted: Sep. 21, 2015; Published: Oct. 15, 2015
Authors
Xiaojun Zhao, Department of Electrical Engineering, North China Electric Power University, Baoding, China
Yuting Zhong, Department of Electrical Engineering, North China Electric Power University, Baoding, China
Dawei Guan, Department of Electrical Engineering, North China Electric Power University, Baoding, China
Fanhui Meng, Department of Electrical Engineering, North China Electric Power University, Baoding, China
Zhiguang Cheng, Institute of Power Transmission and Transformation Technology, Baobian Electric Co., Ltd, Baoding, China
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Abstract
A new method to optimally determine the fixed-point reluctivity is presented to ensure the stable and fast convergence of harmonic solutions. Nonlinear system matrix is linearized by using the fixed-point technique, and harmonic solutions can be decoupled by the diagonal reluctivity matrix. The 1-D and 2-D non-linear eddy current problems under DC-biased magnetization are computed by the proposed method. The computational performance of the new algorithm proves the validity and efficiency of the new algorithm. The corresponding decomposed method is proposed to solve the nonlinear differential equation, in which harmonic solutions of magnetic field and exciting current are decoupled in harmonic domain.
Keywords
Eddy Current, Fixed-Point, Harmonic solutions, Reluctivity
Xiaojun Zhao, Yuting Zhong, Dawei Guan, Fanhui Meng, Zhiguang Cheng, Fixed-Point Harmonic-Balanced Method for Nonlinear Eddy Current Problems, International Journal of Energy and Power Engineering. Special Issue: Numerical Analysis, Material Modeling and Validation for Magnetic Losses in Electromagnetic Devices. Vol. 5, No. 1-1, 2016, pp. 37-41. doi: 10.11648/j.ijepe.s.2016050101.15
References
[1]
E. Dlala, A. Belahcen, and A. Arkkio, “Locally convergent fixed-point method for solving time-stepping nonlinear field problems,” IEEE Trans. Magn., vol.43, pp. 3969-3975, 2007.
[2]
X. Zhao, L. Li, J. Lu, Z. Cheng and T. Lu, “Characteristic analysis of the square laminated core under dc-biased magnetization by the fix-point harmonic-balanced mehtod,” IEEE Trans. Magn., vol. 48, no. 2, pp. 747-750, 2012.
[3]
O. Biro and K. Preis, “An efficient time domain method for nonlinear periodic eddy current problems,” IEEE Trans. Magn., vol. 42, no. 4, pp. 695-698, 2006.
[4]
E. Dlala and A. Arkkio, “Analysis of the convergence of the fixed-point method used for solving nonlinear rotational magnetic field problems,” IEEE Trans. Magn., vol. 44, no. 4, pp. 473-478, 2008.
[5]
S. Ausserhofer, O. Biro, and K. Preis, “A strategy to improve the convergence of the fixed-point method for nonlinear eddy current problmes,” IEEE Trans. Magn., vol. 44, no. 6, pp. 1282-1285, 2008.
[6]
G. Koczka, S. Auberhofer, O. Biro and K. Preis, “Optimal convergence of the fixed point method for nonlinear eddy current problmes,” IEEE Trans. Magn., vol. 45, no. 3, pp. 948-951, 2009.
[7]
X. Zhao, J. Lu, L. Li, Z. Cheng and T. Lu, “Analysis of the saturated electromagnetic devices under DC bias condition by the decomposed harmonic balance finite element method”, COMPEL., vol. 31, no. 2, pp. 498-513, 2012.
[8]
F. I. Hantila, G. Preda and M. Vasiliu, “Polarization method for static field” IEEE Trans. Magn., vol.36, no.4, pp. 672-675, 2000.
[9]
X. Zhao, J. Lu, L. Li, Z. Cheng and T. Lu, “Analysis of the DC Bias phenomenon by the harmonic balance finite-element method,” IEEE Trans. on Power Delivery., vol.26, no.1, pp. 475-485, 2011.
[10]
I. Ciric, and F. Hantila, “An efficient harmonic method for solving nonlinear time-periodic eddy-current problmes,” IEEE Trans. Magn., vol. 43, no. 4, pp. 1185-1188, 2007.
[11]
P. Zhou, W. N. Fu, D. Lin, and Z. J. Cendes, “Numerical modeling of magnetic devices,” IEEE Trans. Magn., vol. 40, no. 4, pp. 1803–1809, 2004.
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