You can convert the electrical energy to other forms of energy though and store it that way. In following the link that nkurz gave the Andasol solar power station was mentioned which apparently will store excess thermal energy in liquid salt allowing electricity generation into the night. Pumped storage hydroelectricity is another, more established, method of storage.

I don't envisage huge vats of molten salt meeting our energy needs throughout the night but I suspect that energy storage will continue to have a part to play in meeting our energy needs in the future. It seems to be relatively expensive but then so is long distance transfer.