Analytic and numerical theory of quench in CICC

A new compact theoretical model is presented that describes the phenomena of quench propagation in Cable In Conduit superconducting magnets. The model circumvents many of the difficulties associated with obtaining numerical solution of more general existing models. Specifically, a factor of 30-50 is gained in the CPU time required to study typical quench events. The corresponding numerical implementation of the new model is described and the numerical results are shown to agree very well with those of the more general models, as well as with experimental data. By considering a set of simplifying assumptions the new quench model has also been solved analytically. The analytic solution is presented and is shown to be in very good agreement with the numerical results