Bending and buckling of superconducting partial toroidal field coils

Based on the theory of curved beams and the Biot Savart law\ a new theoretical model for magnetoelastic bending and buckling of superconducting toroidal _eld coils is developed and corroborated numerically[ In contrast to the existing models\ this model incorporates in!plane deformation of the coil[ A semi!analytical approach is used to obtain the solution to the coupled problem[ In order to validate the model and associated solution method\ the experiment of Miya et al[ "0871# is modeled[ The theoretical predictions of the critical current of coils with none or one pin support are shown to be in excellent agreement with the published experimental data[ It is also shown that the in!plane deformation has a signi_cant in~uence on the critical current