That being said, since most of the cost of a nuclear power plant is the capital cost, every time you're not generating at full power is time you're generating less revenue to cover the capital costs. So even in a hypothetical lowest cost zero carbon system with very high penetration of variable renewables (solar, wind), the nuclear plants would be mostly running flat out.
That being said, fuel represents only a tiny fraction of the cost of nuclear power, so it's fine to run a nuclear reactor at close to max power 24/7 and just use excess power for tasks like water desalination or simply vent off steam instead of passing it through the turbines when demand is lower.
Or sink it into stored hydrogen via electrolysis.
Once you have scalable storage for excess energy, renewables and their fluctuations are simply cheaper, safer and greener, right?
Sure if you have a solar plant producing too much power, you can use that power to generate hydrogen, and that hydrogen can be burned later as a clean energy source. But generating and storing and using enough hydrogen to consistently get you through the night is substantially harder.
Further, renewables are not simply cheaper, safer, and greener. From a safety perspective nuclear is by orders of magnitude safer. Green-ness is a nebulous concept but in terms of damage to the environment nuclear is way better than solar or hydro and comparable to wind and geothermal. Solar and Wind are cheaper than nuclear in terms of nameplate capacity, but their load factor is dramatically lower and their lifetimes are much shorter, to replace a 1 GWe nuclear plant you basically need 3 GW of solar capacity, which are going to have to be replaced twice over the same lifetime, and 12,000 MWh of storage capacity.
Citation please. And make sure it's the renewable we mostly talk about for this conversation, not hydro that cannot be scaled up much more.
It's hard to say any one technology is "greener" than another when they have vastly different types of impacts...
* Nuclear waste remains a big issue for all except the newer reactors, which are uncommon, with little to no planned upgrades to existing generation or storage facilities
* Solar runs into land use concerns & endangered species, along with battery-related supply issues (child labor for mining minerals, political issues for where those materials are usually mined from, etc.), waste issues for end-of-life panels and batteries
* Large hydro devastates river and riparian ecology, not to mention local human communities all up and down the watershed. It has non-negligible greenhouse gas emissions too, between altering river carbon stores and using a metric asston of concrete.
Most of those concerns can be improved upon in human lifetimes. In terms of climate change though, arguably the priority should be to get "good enough" technologies deployed widely and quickly enough to change the emissions trajectory ASAP, if it's not already too late (it probably is). In that sense both nuclear and renewables are a net positive (in an off-the-cuff cost-benefit analysis weighing the urgency of climate change vs future issues).
But of all the types, nuclear alone leaves behind a non-trivial issue for thousands of years into the future. We can fix most other energy mistakes within a decade or few; not so much nuclear waste creation and storage, especially in an era of increasing geopolitical instability and waning democratic checks & balances. Stable and safe nuclear power relies not just on technological and economic factors, but also on stable and safe world regimes and balances of power that can limit both combat and proliferation, especially to non-state actors. None of those can be guaranteed in this century. Domestic regulations aside, existing nuclear powers have a strong vested interest in limiting nuclear access to nations outside of existing blocs/alliances.
I would be strongly pro-nuclear in an idealized world run by sane scientists and engineers, but that's very much NOT the world we live in.