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The distance is simply too great, based on what I could find you can only transmit power for about 300 miles without it getting too costly. Sometimes it goes up to 450 miles and some islands do get power remotely.
But the distance of the Atlantic is around 3310 miles coast to coast if you want to transfer power between the US and Europe.. so that's out of the question. It's much more economic to use solar during the day and use batteries (any sort, for example in Austria we pump water up the mountain in some places) for the night.
Easy: build islands every 300 miles across the Atlantic
Yeah, the 450 mile one -- the North Sea Link -- is the "longest subsea interconnector in the world."
I think over land, you can manage longer distances (China's transmission projects go thousands of miles), but even those aren't going the full 3310 miles it would take to cross the Atlantic.