Analysis on dynamic stability of superconducting coils in a three-coil partial torus

Based on a theoretical model of the magnetoelastic interaction of supercond ucting coils from the theory of curved beams and the Biot-Savart law, the d ynamic behavior of the current-carrying coils disturbed by a pulse current is investigated in this paper. The initial boundary-value equations of the problem are numerically solved by applying the finite difference method for spatial part and the Wilson-theta method for time part. The numerical resp onses exhibit that the equilibrium position of the vibration of the deforma ble coil may sometimes jump from one to another, which is referred to as th e magnetoelastic dynamic instability of the coil. It is found that the dyna mic stability is mainly dependent upon the magnitudes of the steady working current, the peak and the duration of the pulse current. The ranges of the se parameters for the magnetoelastic dynamic stability of the coils are sea rched in detail. (C) 2001 Elsevier Science B.V. All rights reserved.