Electromagnetic Torque and Force Analysis of Toroidal Field Coil Using Numerical and Experimental Results Applicable to Tokamak Reactors

A toroidal field coil (TFC) is composed of several individual toroidal coils (ITCs), which are connected in series and distributed in the toroidal and symmetrical forms. This paper presents the analytical equations of mutual inductance and electromagnetic torque of the TFC that are applicable to Tokamak reactors. The analytical equations of translational forces, which are imposed on the ITCs of the TFC, are also discussed in this paper. These equations are based on those formulated by Neumann. The numerical analysis of the integrations resulting from these equations is solved using the extended three-point Gaussian algorithm. The results obtained from the numerical simulation agree with the empirical results and the virtual work theorem, which indicates the reliability of the presented equations. The behavior of the mutual inductance of the coil shows that the maximum stored energy is obtained when the electromagnetic torque is zero and vice versa.