Do then I understand correctly, that if we have baseline power, from static output nuclear or whatever, then we don't need blackouts, controlled demand, and you can cook anytime because there is enough power?
As you say, baseline is the floor of the demand that holds everything else above (except the weekly instant with minimum demand that it merely matches).
The problem with lacking power plants that can provide stable scheduled power is that you then can't meet even that minimum, or peaks that happen outside of power generation peaks (While solar has happy correlation with daytime power usage, apparently the high peaks at least in Poland aren't when the solar output is highest, and wind tends in many areas to peak during the night).
Ultimately, what you want is supply synchronized with demand - and either you make supply side capable of following demand, or you need to start telling people there's no energy for whatever they need it for.
The benefit of having static power generation from nuclear power plants or whatever else is that we could then concentrate the storage to help the peaks, which is much easier and less resource intensive than trying to totally smooth out lack of predictably dispatchable power.
Also, in case you end up with not enough storage to cover peaks with renewables, it's much easier to have controlled demand from big industrial power sinks provide the latitude to respond to peak demand rather than find out you don't have enough power for the base minimum pretty much all the time and have to institute rolling blackouts on unpredictable schedule.
Agree. We need to provide this, with allowances from inter-region transport, storage and acceptable demand shifting.
In fact, average generation must match average consumption (+losses) over storage timeframe. Peak demand dictates what generation (+ storage) is needed, at that time. Nondeferrable demand - unschedulable generation dictates how much schedulable generation (+ storage) you need.
Minimum demand dictates ... how much static generation can you use without throwing away energy or using storage, but you want to use storage, so you can use more, and you want to use solar/wind so you need to subtract that, and now we're getting quite disconnected baseline demand, so I really don't see the point of baseline power.
Baseline is the floor of the demand for power. It doesn't disappear just because you don't have plants that can operate on schedule, it just becomes very expensive to mitigate the intermittent supply in absence of fairy magic storage and 10-25x overbuild in generation.