基于棱边有限元的变压器场路耦合瞬态模型

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (912 KB)
输出: BibTeX | EndNote (RIS)

摘要提出了一种新的基于棱边有限元法的变压器场路耦合瞬态模型。为讨论节点有限元法与棱边有限元法的计算区别, 根据实际变压器参数建立模型, 利用Ansys二维轴对称单元、三维节点单元和棱边单元, 研究铁心磁场分布和磁通连续性, 并得出结论, 节点有限元法在变压器电磁场计算中存在较大的误差, 棱边有限元法可以显著提高计算精度。基于棱边有限元法建立场路耦合瞬态模型, 在电路模型中利用动态电感参数, 建立瞬态电路偏微分方程数学模型, 用四阶龙格库塔法求解;根据能量扰动原理, 在磁场计算中根据能量增量计算动态电感;代入瞬态电路方程, 实现场路耦合。分析线圈电流、电感参数和铁心漏磁情况, 并说明瞬态耦合模型的有效性与合理性。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	王泽忠
	潘超
	周盛
	刘连光

关键词 ：棱边有限元法, 瞬态场路耦合, 变压器, 动态电感

Abstract：A transient magnetic-circuit coupled computation based on finite element method(FEM) is proposed in this paper. In order to discuss the computational effects of the node FEM and edge FEM, axisymmetric plane element, and the two elements above in Ansys are used. Magnetic and flux continuity in iron-core of different models about transformers are analyzed. The research shows that flux leakage and computing errors may be caused by the node FEM in the 3D electromagnetic model of transformer, which can be settled by edge FEM. On this basis, transient magnetic-circuit coupled model is built. The dynamic inductance is used in the partial differential equation of transient circuit. And the nonlinear magnetic is solved with edge FEM. According to energy perturbation of magnetic, the dynamic inductance is calculated and substituted into the transient equation of circuit. This coupled method can be realized by the fourth Runge-Kutta. Computation and comparison of currents, inductance and leak are carried out. As a result, the computing problem of node FEM is proved, and the transient coupled method is verified with feasibility and validity.

Key words： Edge finite element method transient magnetic-circuit coupling transformer dynamic inductance

收稿日期: 2011-06-17 出版日期: 2014-03-20

PACS:	TM153
	TM41

作者简介: 王泽忠男, 1960年生, 教授, 博士生导师, 长期从事电磁场数值计算、电力系统电磁兼容、电磁测量等方面的研究。潘超男, 1981年生, 博士研究生, 主要研究方向为电磁场数值计算、电力系统电磁兼容。

引用本文:

王泽忠, 潘超, 周盛, 刘连光. 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, Liu Lianguang. Transient Magnetic-Circuit Coupled Model of Transformer Based on Edge Finite Element Method. Transactions of China Electrotechnical Society, 2012, 27(9): 146-152.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2012/V27/I9/146

[1] Zhao Xiaojun, Lu Junwei, Li Lin, Cheng Zhiguang. Analysis of DC bias phenomenon by the harmonic balance finite-element method[J]. IEEE Transactions on Power Delivery, 2011, 26(1): 475-485.
[2] 刘士利, 王泽忠, 孙静. 基于线-面模型的边界元法计算特高压交流变电站设备附近工频电场[J]. 电工技术学报, 2011, 26(3): 162-167.
Liu Shili, Wang Zezhong, Sun Jing. Calculation of power frequency electric field near equipments in UHV substation with BEM based on line-area models[J]. Transactions of China Electro-technical Society, 2011, 26(3): 162-167.
[3] 程志光, 胡启凡, 高桥则雄, 等. 国际TEAM Problem 21 基准族及工程涡流问题模拟[J]. 中国工程科学, 2007, 9(7): 38-46.
Cheng Zhiguang, Hu Qifan, Takahashi Norio, et al. TEAM problem 21 benchmark family and modeling of engineering eddy current problems[J]. Engineering Science, 2007, 9(7): 38-46.
[4] Cheng Z, Takahashi N, Forghani B, et al. Analysis and measurements of iron loss and flux inside silicon steel laminations[J]. IEEE Transactions on Magnetics, 2009, 45(3): 1222-1225.
[5] 程志光, 高桥则雄, 博扎尼﹒弗甘尼, 等. 电气工程电磁热场模拟与应用[M]. 北京: 科学出版社, 2009.
[6] Li Xiaoping, Wen Xishan, Markham P N, et al. Analysis of nonlinear characteristics for a three- phase five-limb transformer under DC bias[J]. IEEE Transactions on Power Delivery, 2010, 25(4): 2504- 2510.
[7] Kazuhisa I, Zoran A, David P. Nonlinear eddy current analysis by BEM minimum order formulation[J]. IEEE Transactions on Magnetics, 2010, 46(8): 3085- 3088.
[8] Pirjola R. Calculation of geomagnetically induced currents(GIC)in a high-voltage electric power transmission system and estimation of effects of overhead shield wires on GIC modelling[J]. Journal of Atmospheric and Solar-Terrestrial Physics, 2007, 69:1305-1311.
[9] Liu Chunming, Liu Lianguang, Risto Pirjola. Geomagnetically induced currents in the high-voltage power grid in China[J]. IEEE Transactions on Power Delivery, 2010, 24(4): 2368-2374.
[10] 李泓志, 崔翔, 刘东升, 等. 直流偏磁对三相电力变压器的影响[J]. 电工技术学报, 2010, 25(5): 88-96.
Li Hongzhi, Cui Xiang, Liu Dongsheng, et al. Influence on three-phase power transformer by DC bias excitation[J]. Transactions of China Electrotechnical Society, 2010, 25(5): 88-96.
[11] Mauricio V F, Jean V L, Benabou A, 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.