一种变压器时域场路耦合计算的自适应算法

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (736 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract The time-domain magnetic field and electric circuit coupled model is applied for DC-biased transformer. And the absolutely stable region is determined to judge the convergence of computation. According to the stable boundary,the time step,which is expressed as h₀,is researched with state matrix. Variation function of dynamic inductances is established to evaluate the magnetic changing. Meanwhile,the magnetic solving frequency written in w is defined to handle the efficiency. On the basis of stability analysis,impacts of h and w on accuracy and efficiency are discussed. Furthermore,an improved self-adaptive time-varying algorithm is proposed,in which,the iterative step can be revised to deal with the time-varying nonlinear excitation. Compared with the fixed-step algorithm,the efficiency and accuracy can be enhanced. Experiment is carried out to prove the self-adaptive method,which will be a new way for time-domain computation of practical electro- magnetic devices such as transformers in AC-DC hybird system.

Key words： DC bias time-domain magnetic field and electric circuit coupling stable boundary self-adaptive algorithm

Received: 12 September 2013 Published: 22 January 2015

PACS:	TM74
	TM41

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Pan Chao
	He Wenting
	Hao Wenbo
	Xu Bingliang

Cite this article:

Pan Chao,He Wenting,Hao Wenbo等. A Self-Adaptive Algorithm of Time-Domain Magnetic Field and Electric Circuit Coupled Computation for Transformer[J]. Transactions of China Electrotechnical Society, 2014, 29(12): 113-119.

URL:

http://dgjsxb.ces-transaction.com/EN/ OR http://dgjsxb.ces-transaction.com/EN/Y2014/V29/I12/113

[1] C M Liu,L G Liu,R Pirjola. Geomagnetically induced currents in the high-voltage power grid in China[J]. IEEE Transactions on Power Delivery,2010,24(4): 2368-2374.
[2] 郭满生,梅佳华,张喜乐,等. 直流偏磁条件下单相三柱电力变压器的损耗计算[J]. 电工技术学报,2010,25(7): 67-71. Guo Mansheng,Mei Jiahua,Zhang Xile,et al. Calculation of losses in three phase limb transformer under DC-biasing[J]. Transactions on China Electrotech- nical Society,2010,25(7): 67-71.
[3] 赵志刚,刘福贵,张俊杰,等. 直流偏磁条件下变压器励磁电流的实验与分析[J]. 电工技术学报,2010,25(4): 71-76. Zhao Zhigang,Liu Fugui,Zhang Junjie,et al. Measurement and analysis of magnetizing current in DC-biased transformers[J]. Transactions on China Electrotechnical Society,2010,25(4): 71-76.
[4] Lu Shu,Liu Yilu. FEM analysis of DC saturation to assess transformer susceptibility to geomagnetically induced currents[J]. IEEE Transactions on Power Delivery,1993,8(3): 1367-1376.
[5] Mauricio Valencia Ferreira da Luz,Jean Vianei Leite,et al. Three-phase transformer modeling using a vector hysteresis model and including the eddy current and the anomalous losses[J]. IEEE Transactions on Magnetics,2010,46(8): 3201-3204.
[6] Zhao X J,Lu J W,et al. Analysis of DC bias phenomenon by the harmonic Balance Finite-Element method[J]. IEEE Transactions on Power Delivery,2011,26(1): 475-485.
[7] Zhao X J,Li L,et al. Characteristic analysis of the square laminated core under dc-biased magnetization by the fixed-point harmonic-balanced FEM[J]. IEEE Transactions on Magnetics,2012,48(2): 747-750.
[8] Yamada R,Biringer P P,et al. Calculation of nonlinear eddy-current problems by the harmonic balance finite element method[J]. Transactions on Magnetics,1991,26(5): 4122-4125.
[9] 赵小军. 基于谐波平衡有限元的变压器直流偏磁特性研究[D]. 保定: 华北电力大学,2010.
[10] 李泓志,崔翔,卢铁兵,等. 变压器直流偏磁的电路-磁路模型[J]. 中国电机工程学报,2009,29(27): 119-125. Li Hongzhi,Cui Xiang,Lu Tiebing,et al. Electric circuit and magnetic circuit combined model of DC biased power transformer[J]. Proceedings of the CSEE,2009,29(27): 119-125.
[11] 郭健,林鹤云,徐子宏,等. 单螺旋绕组变压器支路电流的场路耦合计算及分析[J]. 电工技术学报,2010,25(4): 65-70. Guo Jian,Lin Heyun,Xu Zihong,et al. Calculation and analysis of branch currents of single spiral winding transformer based on field circuit coupled method[J]. Transactions on China Electrotechnical Society,2010,25(4): 65-70.
[12] 潘超. 基于时域场路耦合模型的变压器直流偏磁电磁特性研究[D]. 保定: 华北电力大学,2013.
[13] Shi Z W,Rajanathan C B. A method of approach to transient eddy current problems coupled with voltage sources[J]. IEEE Transactions on Magnetics,1996,32(3): 1082-1085.
[14] D Rodger,N Allen. Calculation of transient 3D eddy currents in nonlinear media verification using a rotational test rig[J]. IEEE Transactions on Magnetics,1994,30(5): 2988-2991.
[15] S L Ho,W N Fu. An incremental method for studying the steady state performance of induction motors using time stepping finite element model[J]. IEEE Transactions on Magnetics,1997,33(2): 1374-1377.
[16] S L Ho,S X Niu,et al. A power-balanced time- stepping finite element method for transient magnetic field computation[J],IEEE Transactions on Magnetics,2012,48(2): 291-294.
[17] 潘超,王泽忠,杨敬瑀,等. 变压器直流偏磁瞬态场路耦合计算稳定性分析[J]. 电工技术学报,2013,28(5): 82-87. Pan Chao,Wang Zezhong,Yang Jingyu,et al. Stability analysis based on transient magnetic-circuit coupled method for DC-biased transformer[J]. Transactions on China Electrotechnical Society,2013,28(5): 82-87.
[18] 王泽忠,潘超,周盛,等. 基于棱边有限元的变压器场路耦合瞬态模型[J]. 电工技术学报,2012,27(9): 146-152. Wang Zezhong,Pan Chao,Zhou Sheng,et al. Transient magnetic-circuit coupled model of transformer based on edge finite element method[J]. Transactions on China Electrotechnical Society,2012,27(9): 146-152.