Calculation of transient 3D eddy current using edge-elements
Calculation of transient 3D eddy current using edge-elements
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DOI：
10.1109/20.106354
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发表时间：
1990-03
影响因子：
2.1
通讯作者：
A. Kameari
中科院分区：
文献类型：
--
作者：
A. Kameari
提出了利用修正a法中的边缘元计算瞬态三维涡流的方法。提出了20节点等参单元上的二次36边单元。具体地，用线性12边元和二次36边元分别求解了方形板和空心球的试验问题，并与解析解进行了比较。两种单元的计算结果与解析解吻合较好，说明了两种单元在涡流计算中的适用性。由形状函数插值的单元中电流和磁场的空间分布，用自由度较小的二次元比线性元更接近。当二次元的尺寸是线性元的两倍时，两种单元在空心球体的测试问题中精度几乎相同。>
The calculation of transient 3-D eddy current using edge elements in the modified A-method is presented. Quadratic 36-edge elements on the 20-node isoparametric elements are proposed. Specifically, the test problems of a square plate and a hollow sphere are solved with linear 12-edge and quadratic 36-edge elements, and the results are compared with the analytical solutions. The results using the two types of elements agree well with each other and with the analytical solution, demonstrating the applicability of these elements for eddy-current calculation. The spatial distributions of the current and magnetic field in elements interpolated by shape functions are approximated better by quadratic elements with fewer degrees of freedom than the linear elements. The accuracy of both types of elements is nearly the same in the test problem of a hollow sphere if the size of the quadratic elements is double that of the linear elements. >