> No, not at all, at least not without making the storage coil
 > correspondingly larger and more expensive.  Superconductive coils can
 > store energy for long periods of time without loss, but you cannot exceed
 > a certain energy density in any known superconductive storage system. 
 > The details vary depending on which particular medium you are
 > considering.
 
That's the bad part about them: they quench too easily. Catastrophic failure is not a particularly enticing aspect of what is supposed to be a storage medium.
 > But suppose you found a superconductive material that could carry a
 > billion amps in a wire 1/4 inch thick.  Then the magnetic forces would
 > tear the coil apart.
 
It helps to make the coil large, very large. Like some ten miles in diameter.
 > Suppose you could overcome the problem of containing the magnetic forces.
 >  Then how would you pump a billion amps into the coil?  If you use
 > magnetic fields to pump energy into the storage coil, the pumping field
 > would have to exceed the field in the coil.  How would you generate the
 > field?
 
My physics recollection is notoriously hazy, but I don't think you have to bring it up to full field in a single stride.
 > This is not to say that it won't be possible someday to store energy at
 > high density in superconductors.  But not with today's technology.
I think it might be useful in the outskirts of the solar system. It's already damn cold out there.