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Force Balance and Stability of Toroidal Helical Coil with Circular Cross Section

Takayuki HABUCHI, Hiroaki TSUTSUI, Shunji TSUJI-IIO and Ryuichi SHIMADA

Tokyo Institute of Technology, Tokyo 152-8550, Japan

(Received 8 December 2010 / Accepted 7 April 2011 / Published 2 December 2011)

Abstract

Stability and force equilibrium of toroidal helical coil with circular cross section were investigated. In this paper, we derived and calculated equations for equilibrium of toroidal helical coil based on an axisymmetric surface current model. The helical coil, which is modulated in such a way that a magnetic surface coincides with the coil surface, can reduce overturning force generated by electromagnetic forces. We analyzed the stability of the toroidally modulated helical coil and confirmed that this modulated configuration is held in equilibrium while it is unstable. This condition means the minimum inductance condition. Moreover, we formulated the relationships between electromagnetic forces and stresses acting on toroidal helical coil with circular cross section, and we compared the stress distributions calculated by the equations with those from finite element method (FEM) analysis.

Copyright (c) 2011 The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

stress analysis, FEM, helical coil, force balance, modulated coil

DOI: 10.1585/pfr.6.2405150

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This paper may be cited as follows:

Takayuki HABUCHI, Hiroaki TSUTSUI, Shunji TSUJI-IIO and Ryuichi SHIMADA, Plasma Fusion Res. 6, 2405150 (2011).