Virial定理の磁気閉じ込め核融合装置への応用

概要

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The new Toroidal Field (TF) coil whose stress is much reduced is proposed by use of the virial theorem. It is a hybrid coil of a traditional TF coil and a central solenoidal coil helically wounded on a torus. The winding is modulated such that the toroidal field is created in the torus whereas the poloidal field is only out of the tours. In this case, the electromagnetic force is represented by the difference of the poloidal and the toroidal magnetic pressure which are given by the poloidal and toroidal current. The virial theorem in the magnet is the relation of the magnetic energy and the averaged stress, and shows that the best TF coil to make the strongest magnetic field under the weakest averaged stress requires the same averaged principal stresses of all directions, which determines the ratio of the poloidal and toroidal current of the new TF coil. The enhancement factor of the magnetic field in the new TF coil increases as the aspect ratio A decreases where the distribution of the stress by the toroidal effect is important. Although the enhancement effect is canceled by the toroidal effect in A=10, the small aspect ratio coil of A=2 increases the magnetic field to 1.4 times of the traditional TF coil. From a viewpoint of stress, it reduces the maximum stress to the half in the traditional one.
2001-03-25