Electromagnetic Torque and Force Analysis of Superconductor Magnetic Energy Storage coil Using Numerical and Experimental Results

A Toroidal Field Coil (TFC) is composed of several Individual Toroidal Coils (ITCs), which are connected in a series and distributed in the toroidal and symmetrical form. This paper presents analytical equations of mutual inductance and electromagnetic torque of the TFC applicable to Superconductor Magnetic Energy Storage. The analytical equations of translational forces, which are imposed on 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 vise versa.

Keywords:

Superconductor Magnetic Energy Storage , Toroidal field coil , self and mutual inductances , Electromagnetic force and torque , Biot-Savart and Neumann’s equations , extended three-point Gaussian algorithm