Obviously that doesn't work, the power company would go broke and no-one would have power, except while it's sunny.
So why don't they fix their broken model and charge a fixed fee for everyone that is connected to the grid. Oh wait, they already do that (albeit a nominal fee).
The "fair" solution is to set a fixed fee so that their grid-maintenance costs are covered. Then they can reduce their tariffs to reflect the true price of generating (not delivering) the electricity.