Finding Better Solutions to Reduce Computational Effort of Large-Scale Engineering Eddy Current Fields
International Journal of Energy and Power Engineering
Volume 5, Issue 1-1, February 2016, Pages: 12-20
Received: Sep. 10, 2015;
Accepted: Sep. 11, 2015;
Published: Sep. 28, 2015
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Dexin Xie, School of Electrical Engineering, Shenyang University of Technology, Shenyang, China
Zhanxin Zhu, TBEA Shenyang Transformer Co., Ltd., Shenyang, China
Dongyang Wu, School of Electrical Engineering, Shenyang University of Technology, Shenyang, China
Jian Wang, TBEA Shenyang Transformer Co., Ltd., Shenyang, China
In the finite element analysis of the engineering eddy current fields in electrical machines and transformers there are the problems such as the huge scale of computation, too long computing time and poor precision which could not meet the demand of engineering accuracy. The current research situation and difficulties of these problems are analyzed in this paper mainly from the aspect of computation methodology. The methods to deal with these problems, e.g., homogenization models of the laminated iron core, the sub-domain perturbation finite element method, domain decomposition method, and EBE (Element by Element) parallel finite element method are described. Their advantages and limitations are discussed, and the authors’ suggestions for the further research strategies are also included.
Finding Better Solutions to Reduce Computational Effort of Large-Scale Engineering Eddy Current Fields, 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. 12-20.
N. Soda, and M. Enokizono. “Improvement of T-Joint part constructions in three-phase transformer cores by using direct loss analysis with E&S model”. IEEE Trans. Magn., Vol. 36, No. 4, pp. 1285-1288, 2000.
E. Enokizono, T. Suzuki, J. Sievert, and J. Xu. “Rotating power loss of silicon steel sheet”. IEEE Trans. Magn., Vol. 26, No. 5, pp. 2562-2564, 1990.
Yanli Zhang, Houjian He, Dexin Xie, and Chang-seop Koh. “Study on vector magnetic hysteresis model of electrical steel sheets based on two-dimensional magnetic property measurement,” Proceedings of the CSEE, Vol. 30, No. 3, pp. 130-135, 2010. (in Chinese)
Yanli Zhang, Houjian He, Dexin Xie, and Chang-seop Koh. “Finite element analysis of magnetic field in transformer core coupled with improved vector hysteresis model and its experimental verification,” Proceedings of the CSEE, Vo. 30, No.21, pp. 109-113, 2010. (in Chinese)
K. Simonyi. Theoretische Electrotechnik, VEB Deutscher, Verlag, 1956.
Yunqiu Tang. Electromagnetic Field in Electrical Machines. (Second edition), Beijing: Science Press, 1998. (in Chinese)
Zhiguang Cheng, Norio Takahashi, Behzad Forghani et al. Electromagnetic and Thermal Field Modeling and Application in Electrical Engineering. Beijing, Science Press, 2009. (in Chinese)
Dexin Xie et al. Finite Element Analysis of Three Dimensional Eddy Current Field. Second edition. Beijing: China Machine Press, 2007. (in Chinese)
Patrick D,and Johan G. “A 3-d magnetic vector potential formulation taking eddy currents in lamination stacks into account,” IEEE Transactions Magn.,Vol. 39, No. 3, pp. 1424-1427, 2003.
Zhanxin Zhu, Dexin Xie, and Yanli Zhang. “Time domain analysis of 3D leakage magnetic field and structural parts loss of large power transformer,” Proceedings of the CSEE, Vol. 32, No. 9, pp. 156-160, 2012. (in Chinese)
Zhanxin Zhu. Research on Calculation Method of 3D Eddy Current Field Structural Part Losses in Large Power Transformer, Doctoral Dissertation, Shenyang: Shenyang University of Technology, 2012. (in Chinese)
J. Gyselinck and P. Dular. “A Time-domain homogenization technique for laminated iron cores in 3-D finite-element models,” IEEE Trans. Magn., Vol. 40, No. 2, pp. 856-859, 2004.
Zsolt Badics, Yoshihiro Matsumoto, Kazuhiko Aoki, Fumio Nakayasu, Mitsuru Uesaka, and Kenzo Miya. “An affective 3-D finite element scheme for computing electromagnetic field distortions due to defects in eddy-current nondestructive evaluation,” IEEE Trans. Magn., Vol. 33, No. 2, pp. 1012-1020, 1997.
Patrick Dular, Ruth V. Sabariego, and Laurent Krähenbühl. “Subdomain perturbation finite-element method for skin and proximity effects,” IEEE Trans. Magn., Vol. 44, No. 6, pp.738-741, 2008.
S. A. Schelkunoff, “The impedance concept and its application to problems of reflection, shielding and power absorption,” Bell System Technical Journal, pp. 17-48, 1938.
E. M. Deeley, Serface “Impedance near edges and corners in three-dimensional media,” IEEE Trans. Magn.,Vol. 26, No. 2, pp. 712-714, 1990.
Yong-Gyu Park et al. “Three dimensional eddy current computation using the surface impedance method considering geometric singularity,” IEEE Trans. Magn.,Vol. 31, No. 3, pp. 1400-1403, 1995.
Tao Lv, Jimin Shi, and Zhenbao Lin. Domain Decomposition Algorithms—New Technology of Numerical Solution of Partial Differential Equation. Beijing: Science Press, 1997. (in Chinese)
R. Glowinski, Q. V. Dinh, J. Periaux. “Domain decomposition methods for nonlinear problems in fluid dynamics,” Computer Methods in Applied Mechanics and Engineering, Vol. 40, No. 1, pp. 27-109, 1983.
Zhu Z. H., Ji H., and Hong W. “An efficient algorithm for the parameter extraction of 3D interconnect structures in the VLSI circuits domain decomposition method,” IEEE Transactions on Microwave Theory and Techniques, Vol. 45, No. 9, pp. 1179-1184, 1997.
Hanqing Zhu. Study on the Applications of Domain Decomposition Method in Electromagnetic Problems, Doctoral Dissertation, Chengdu: University of Electronic Science and Technology of China, 2002. (in Chinese)
Mifune T, Iwashita T, and Shimasaki M. “A fast solver for FEM analysis using the parallelized algebraic multi-grid method,” IEEE Trans. Magn., Vol. 38, No. 2, pp. 369-372, 2002.
Steve McFee, Qingying Wu, Mark Dorica, et al. “Parallel and distributed processing for h-p adaptive finite-element analysis: a comparison of simulated and empirical studies,” IEEE Trans. Magn., Vol. 20, No. 2, pp. 928-933, 2004.
Hughus T J R, Levit I, and Winget J. “An element-by-element solution algorithm for problems of structural and solid mechanics,” Computer Methods in Applied Mechanics and Engineering, Vol. 36, pp.241-254, 1983.
Shunxu Wang, Boguo Sun, and Shuquan Zhou. “A mixed EBE parallel algorithm for transient heat conduction problems,” Journal of Huaihai Institute of Technology, Vol. 8, No. 3, pp. 7-9, 1999.
Yaoru Liu, Weiyuan Zhou, and Qiang Yang. “A distributed memory parallel element by element scheme based on Jacobi-conditioned conjugate gradient for 3D finite element analysis,” Finite Elements in Analysis And Design, Vol. 43, pp. 494-503, 2007.
Shu Zhang, Yanli Chu. CUDA of GPU High Performance Computation, Beijing: China Water Power press, 2009. (in Chinese)
Han Jiang and Quanyuan Jiang. “A two-level parallel transient stability algorithm for AC/DC power system based on GPU platform,” Power System Protection and Control, Vol. 40, No.21, pp. 102-108, 2012. (in Chinese)
Youquan Liu, Kangxue Yin, and Enhua Yin. “Fast GMRES-GPU solver for large scale sparse linear systems. Journal of Computer-Aided Design & Computer Graphics,” Vol. 23, No. 4, pp. 553-560, 2011. (in Chinese)
Xiaohu Liu, Yaoguo Hu, and Wei Fu. “Solving large finite element system by GPU computation,” Chinese Journal of Computational Mechanics, Vol. 29, No. 1, pp.146-152, 2012. (in Chinese)
Barnat, J., and Bauch, P. “Employing multiple CUDA devices to accelerate LTL model checking,” IEEE 16th International Conference on Parallel and Distributed System, pp. 259-266, 2010.
Thurley, M. J. and Danell, V. “Fast Morphological Image Processing Open-Source Extensions for GPU Processing with CUDA,” IEEE Journal of Selected Topics in Signal Processing, Vol.6, No. 7, pp. 849-855, 2012.
David M. Fernández, Maryam Mehri Dehnavi, and Warren J. Gross. “Alternate Parallel Processing Approach for FEM,” IEEE Trans. Magn., Vol.48, NO.2, pp. 299-402, 2012.
Renyuan Tang, Dongyang Wu, and Dexin Xie. “Research on the key problem of element by element parallel FEM applied to engineering eddy current analysis,” Transaction of China Electrotechnical Society, Vol.29, No.5, pp. 1-9, 2014.