  Statistical properties of the critical current distribution in superconductor
with fractal clusters of a normal phase are considered. It is found that there
is the range of fractal dimensions in which the variance and expectation for
this distribution increases infinitely. Simple technique of avoiding such a
divergence by the use of truncated distributions is proposed. It is suggested
that the most current-carrying capability of a superconductor can be achieved
by modifying the cluster area distribution in such a way that the regime of
giant variance of critical currents will be realized.
