| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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An Adaptive Fast Multipole Higher Order Boundary Element Method for Power Frequency Electric Field of Substation |
ZHANG Zhan-Long, DENG Jun, XIAO Dong-Ping, HE Wei, TANG Ju |
| State Key Laboratory of Power Transmission Equipment and System Security and New Technology, Chongqing University, Chongqing 400030 |
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| Cite this article: |
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ZHANG Zhan-Long, DENG Jun, XIAO Dong-Ping et al 2010 Chin. Phys. Lett. 27 034105 |
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Abstract An adaptive fast multipole higher order boundary element method combining fast multipole (FM) with a higher order boundary element method is studied to solve the power frequency electric field (PFEF) of substations. In this new technique, the iterative equation solver GMRES is used in the FM, where matrix-vector multiplications are calculated using fast multipole expansions. The coefficients in the preconditioner for GMRES are stored and are used repeatedly in the direct evaluations of the near-field contributions. Then a 500kV outdoor substation is modeled and the PFEF of the substation is analyzed by the novel algorithm and other conventional methods. The results show that, in computational cost and the storages capability aspects, the algorithm proposed in this study has obvious advantages. It is suitable for the calculation of the large-scale PFEF in complex substations and the design of electromagnetic compatibility.
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41.20.Cv
03.50.De
41.20.-q
02.60.Lj
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Received: 24 August 2009
Published: 09 March 2010
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| PACS: |
41.20.Cv
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(Electrostatics; Poisson and Laplace equations, boundary-value problems)
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03.50.De
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(Classical electromagnetism, Maxwell equations)
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41.20.-q
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(Applied classical electromagnetism)
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02.60.Lj
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(Ordinary and partial differential equations; boundary value problems)
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[1] Caldecott R, English W E and Sebo S A G I 1991 Proceeding of the 7th Int. Symp. on High-Voltage Engineering (Dresden, Germany 26--30 August 1991) p 79
[2] Myung S H, Lee B Y and Park J K 1995 Proceeding of the 9th Int. Symp. on High-Voltage Engineering (Graz, Austria 28 August--1 September 1995) p 8368
[3] Rokhlin V 1985 Comput. Phys. 60 187
[4] Yoshida K, Nishimura N and Kobayashi S 2001 Eng. Anal. Bound. Element. 25 239
[5] Yu G Z, Xie B S and Rao D 2008 Chin. Phys. Lett. 25 2926
[6] Liu Y J, Nishimura N and Otani Y 2005 J. Appl. Mech. 72 115
[7] Zhang G L, Zhang H Q, Liu Z H, Zhang C L, Lin C J, Yang F, An G P, Jia H M, Wu Z D, Xu X X, Bai C L and Yu N 2007 Chin. Phys. Lett. 24 397
[8] Wu Z Q, Li Y M, Duan B, Zhang H and Yan J 2009 Chin. Phys. Lett. 26 12320
[9] Chen R S, Wang D X, Edward and Yung K N 2003 Int. J. Infrared Millimeter Waves 24 1199
[10] Rui P L and Chen R S 2007 Microwave Opt. Technol. Lett. 49 1746
[11] Shen L and Liu Y J 2006 Comput. Mech. 39 681
[12] Yarvin N and Rokhlin V 1998 SIAM J. Sci. Comput. 20 699
[13] Nishida N and Hayami K 1997 19th International Conference on the Boundary Element Method (Rome, Italy 1--3 September 1997) p 613
[14] Essai A 1998 J. Numer. Algorithm 18 277 |
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