Considering the increase of the fault current lever in electrical network,
the current limiters become very interesting. The superconducting limiters
are based on the quasi-instantaneous intrinsic transition from superconduct
ing state to normal resistive one. Without detection of default or given or
der, they reduce the constraints supported by electrical installations abov
e the fault. To avoid the destruction of the superconducting coil, the temp
erature must not exceed a certain value. Therefore the design of a supercon
ducting coil needs the simultaneous resolution of an electrical equation an
d a thermal one. This papers deals with a resolution of this coupled proble
m by the method of Monte-Carlo. This method allows us to calculate the evol
ution of the resistance of the coil as well as the current of limitation. E
xperimental results are compared with theoretical ones.