|
|
Matrix Analysis Method of Equivalent Circuit in 2-D Eddy-Current Magnetic Field |
Liu Huijuan1,Zhang Jingxiong1,Chen Yiduan1,W. N. Fu2 |
1. Beijing Jiaotong University Beijing 100044 China 2.The Hong Kong Polytechnic University Hong Kong SAR China |
|
|
Abstract Based on matrix analysis methods,an accurate equivalent circuit model of a 2- dimentional(2-D) eddy-current magnetic field coupled with stranded windings and solid conductors is developed by using loop method and nodal method separately. The formulas of impedance computation and the formulas of the total power loss computation for magnetic field-circuit coupled problems are deduced. In the proposed work,each solid conductor is represented by circuit branches and the effect of eddy-current can be fully included in the equivalent circuit model. An example of a transformer is given to show the effectiveness of the proposed method.
|
Received: 04 September 2012
Published: 11 December 2013
|
|
|
|
|
[1] Zhou P, Lin D, Fu W N, et al. A general cosimulation approach for coupled field-circuit problems[J]. IEEE Trans. Magn., 2006, 42(4): 1051-1054. [2] Zhou P, Fu W N, Lin D, et al. Numerical modeling of magnetic devices[J]. IEEE Trans. Magn., 2004, 40(4): 1803-1809. [3] Lin D, Zhou P, Fu W N, et al. A flexible approach for brush-commutation machine simulation[J]. IEEE Trans. Magn., 2008, 44(6): 1542-1545. [4] Guo Youguang, Zhu Jianguo, Liu Dikai, et al. Application of multi-level multi-domain modeling in the design and analysis of a PM transverse flux motor with SMC core[C]. 7th International Conference of Power Electronics and Drive Systems, 2007: 27-31. [5] Wang H, Liu W, Gai W, et al. Modeling and prototyping of a flux concentrator for positron capture[J]. IEEE Trans. Magn., 2008, 44(10): 2402-2408. [6] Raptis D S, Kladas A G, Tegopoulos J A. Accurate induction motor estimator based on magnetic field analysis[J]. IEEE Trans. Magn., 2008, 44(6): 1574-1577. [7] Ho S L, Fu W N. Review and further application of finite element methods in induction motors[J]. Electric Machines and Power Systems, Taylor Francis, 1998, 26(2): 111-125. [8] Weiss J, Cendes Z. Efficient finite element solution of multipath eddy current problems[J]. IEEE Trans. Magn., 1982, 18(6): 1710-1712. [9] Weiss J, Garg V, Sternheim E. Eddy current loss calculation in multiconductor systems[J]. IEEE Trans. Magn., 1983, 19(5): 2207-2209. [10] Fu W N, Zhou P, Lin D, et al. Modeling of solid conductors in two-dimensional transient finite-element analysis and its application to electric machines[J]. IEEE Trans. Magn., 2004, 40(2): 426-434. [11] Ho S L, Li H L, Fu W N. Inclusion of inter-bar currents in a network-field coupled time stepping finite element model of skewed rotor induction motors[J]. IEEE Trans. Magn., 1999, 35(5): 4218-4225. [12] 汤蕴璆. 电机内的电磁场[M]. 北京: 科学出版社, 1998. [13] 谢德馨, 杨仕友. 工程电磁场数值分析与综合[M]. 北京: 机械工业出版社, 2009. [14] Ha Yong Kim, Chong Won Lee. Analysis of eddy- current loss for design of small active magnetic bearings with solid core and rotor[J]. IEEE Trans. Magn., 2004, 40(5): 3293-3301. |
|
|
|