What solutions do you know? The hydro ones are not scalable, that's for sure. One, you'd never, ever get the environmental permits to build the dams behind them, and two, you can only build them in mountainous, maybe hilly terrain, that would add tons of costs related to distribution.
I had also read something about using salt deposits, but maybe I'm remembering wrong.
And no, Tesla-like batteries, or any batteries for the matter, are not a solution at the scales we're talking about.
There's nothing quite as infuriating when people scream about NIMBY being a deal breaker for nuclear, then peddle damming up entire valleys where people actually live right now to use as pumped hydro storage. It's like they can't even hear themselves speak.
And as you point out, most recent battery advances seem to be on par with graphene in that they promise everything yet can't seem to leave the lab, much less be manufactured anywhere close to the scales required.
Out of all the renewables I suppose wave power is the most prospective right now. It's consistent, runs 24/7, and could be placed at most shore locations. Probably not quite enough output to make a dent though.
I had also read something about using salt deposits, but maybe I'm remembering wrong.
And no, Tesla-like batteries, or any batteries for the matter, are not a solution at the scales we're talking about.