It's always shining somewhere, we could have some absurd network of global powerlines distributing it around. If we are talking unrealistic pie in the sky crap. Clearly there are huge problems with that, such as people breaking the lines, nature breaking the lines, cost, absurdity, etc..
Energy storage is where we need improvements.. batteries and alternatives to them really need to come around. Thermal storage, gravity storage (water, or anything that comes down from height), safely made home hydrogen generators, something..
Easier would probably just be for everybody to have as many solar panels as their roof / parking lot size allows, a small grid connection, and some sort of small fuel based generator designed to recharge some batteries. With that kind of redundancy residential would be ok. It needs massive improvements in permitting / standardization though.
Large commercial players would still need large power plant capacity, as they are gigantic energy / water hogs. They often have very large parking lots and buildings, and could use solar for a huge portion of their electricity usage, but they certainly would not accept reduced ability to produce on non sunny days.. I can't even imagine the outrage of a factory having to wait until the sun came up to run. However, large commercia/industrial players would also likely have the space to maybe have thermal or gravity based energy storage on the premises, unlike smaller residential lots.