Optimization of SMES coil by using virial theorem
Optimization of SMES coil by using virial theorem
复制标题
利用维里定理优化 SMES 线圈
DOI：
10.1109/tasc.2002.1018522
复制
发表时间：
2002
影响因子：
1.8
通讯作者：
R. Shimada
中科院分区：
文献类型：
--
作者：
H. Tsutsui;S. Nomura;R. Shimada
利用具有存储能量和应力的维里定理对超导储能线圈进行了优化设计。在这项工作中，我们展示了最大应力下存储能量的理论极限。为了达到理想的极限，我们提出了螺旋绕组的环形线圈。它是环面场线圈（TF）和螺线管线圈螺旋缠绕在环面上的混合线圈。绕组以这样一种方式调制，即环面场在环面内产生，而极向场仅在环面外产生。在这种情况下，电磁力由极向和环向磁压力之差表示。磁体中的维里定理是磁能与平均应力的关系，表明在平均应力最弱的情况下，存储磁能的最佳线圈要求各方向的平均主应力相等，这决定了环形线圈的极向电流和环向电流的比值。在最大应力相同的情况下，该线圈将磁能提高到传统TF线圈的4倍。
The coil for the superconducting magnetic energy storage (SMES) is optimized by use of the virial theorem with stored energy and stress. In this work, we show the theoretical limit of stored energy with the maximum stress. To achieve the ideal limit, we propose the toroidal coil with helical winding. It is a hybrid coil of a toroidal field (TF) coil and a solenoidal coil helically wound on a torus. The winding is modulated in such a way that the toroidal field is created in the torus whereas the poloidal field is only out of the torus. In this case, the electromagnetic force is represented by the difference in the poloidal and the toroidal magnetic pressure. The virial theorem in the magnet is the relation of the magnetic energy and the averaged stress, and shows that the best coil to store the magnetic energy under the weakest averaged stress requires equal averaged principal stresses in all directions, which determines the ratio of the poloidal and toroidal current of our toroidal coil. The coil increases the magnetic energy to 4 times the conventional TF coil with the same maximum stress.