Why not use superconducting cables?
https://www.extremetech.com/extreme/182278-the-worlds-first-...
https://www.extremetech.com/extreme/182278-the-worlds-first-...
What's more likely is some form of energy-to-liquid-fuels process that runs during times and places of excess energy. The fuel can then be stored, pumped, trucked etc to other locations. This already exists, it's just not price-competitive with fossil fuels.