  When modeling superconducting devices based on REBCO tapes andworking near or
above the critical current value (i.e. I> Ic), the power-law model is not
always accurate. In our previous works, we proposed the overcritical current
model, based on a combination of fast pulsed current measurements and finite
elementan alysis. The overcritical current model was provided in the form of
look-up tables and was validated experimentally. We showed that the
overcritical current model could better reproduce experimental measurements
than the power-law model, and that the power-law model predicts a faster quench
than the overcritical current model. In this contribution, we propose the
eta-beta model, a mathematical expression to model analytically the
overcritical current model, based on measurements performed between 77 K and 90
K in self-field conditions. The proposed model is verified by comparing DC
fault measurements with the results of numerical simulations using the eta-beta
model to represent the electrical resistivity of the superconducting layer of
REBCO tapes.
