That's pretty much the same issue you have with renewables, especially wind. Sometimes it will just produce more than you need. The solution is the same: use overproduction to produce hydrogen or for desalination plants. It's actually easier in the case of nuclear, because demand is more predictable than weather, and you have excess energy day, not only on a few days per week or month.
> The solution is the same: use overproduction to produce hydrogen or for desalination plants.
Does anywhere actually do this? Storing hydrogen at scale seems insanely difficult and desalinating water wouldn't let you use the energy later. AFAIK, most places deal with surplus energy by putting it into a big battery, usually the physical kind of battery like pumping water up hill and holding it behind a hydroelectric dam.
Many pumped hydro station were originally built to use cheap overnight electricity from nuclear plants when demand was low, and timeshift it to spikes of demand later.
Ok, so industrial users buy hydrogen. And then how do you convert the currency they give you into energy when you need it later? If you're just trying to find an economic use for excess power, you might as well mine Bitcoin.