There is a way to tackle part of this challenge by using distributed generic resources ( https://en.wikipedia.org/wiki/Vehicle-to-grid ), especially thanks to a smart grid ( https://en.wikipedia.org/wiki/Smart_grid ).

Gas plants can burn hydrogen (or methane...) produced thanks to electricity overproduced (produced when the grid doesn't need it) by renewables.

There are many ways to store energy ( https://en.wikipedia.org/wiki/Energy_storage#Methods ).