What I do know is that the older reactors weren't really the type that could "spin up" or "spin down". Control rods always existed on nuclear power plants, even the oldest designs.
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In any case: "Connecting" those rods up to a computer so that the reaction can get hotter or run cooler would be the basis for variable power output.
This has been done literally forever. Why do you think nuclear plants run at 100% capacity 24/7?
The primary reason would be economic. Fuel costs IIRC are really low but capital-expenses (especially safety engineering / politics / convincing the people nearby that the plant is safe) is so costly.
When you have cheap-fuel but expensive machines, it makes sense to run closer to 100%. If you have expensive fuel but cheap machines (ex: Gas turbines), it makes sense to run in a "peaker" fashion.
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That being said: I've heard that older nuclear plants are "baseload" designs, in that they _CANNOT_ turn off or feasibly regulate their power output.
I mean, they obviously "can" turn off, they all have control rods for safety. But they're clearly not using them to regulate the power output.
No, you heard wrong. They're often the last or second to last type of plant that's called upon to alter supply to match demand, but they don't run 100% 24/7.
Yes, fissonable elements in the fuel are consumed in a manner that's proportional to output. So if you run at 25% output your fuel needs to be changed (example) every 4 years, if you run at 100% output your fuel needs to be changed every year.
But it is not 100% proportional, for example, 15% of the plant's output is required simply to run the plant's accessories. So it is advantageous to run at 100% output if you can.
The rods soak up neutrons. the reactor is designed so that its power would increase if the rods weren't there. The rods are what keeps the k == 1 (basically how the neutrons change in time. K == 1 is no change).
So don't think of the rods as a throttle valve in your car, i.e. this throttle angle corresponds to this much torque and therefore power. The rods are best thought of as controlling the rate of change of reactor power.
This is why the reactor is built so that the neutrons increase when fully withdrawn - because you have to start it! If the reactor is being started, the rods are withdrawn until the power wanted is achieved. Then the rods are lowered.
Note this is a far more complicated problem; this is a very serious operation because at the very start, except for your neutron starter, you only have "prompt" neutrons that can very quickly cause an increase of power. Once the reactor has stabilized the "nuclear waste" inside it releases non-prompt neutrons that are part of the neutron budget and are easier to control.
So, while waste in the reactor is being accumulated and while the fuel burns up, the position of the rods to achieve stable power changes! Furthermore these changes are different in different parts of the reactor so each rod is individually changed (actually I think there are two sets of rods, not all of them are individually actuated)
> actually I think there are two sets of rods, not all of them are individually actuated
commercial reactors have 5-10 “banks” arranged symmetrically, although only a subset of those are typically used during power operations [1], so you weren’t far off. Rods are rarely controlled individually, the only case that comes to mind is for identifying and then limiting the reactivity in a “leaker” fuel bundle (one where the cladding has been breached by a foreign object, so it is leaching contamination into the coolant - this is undesirable but expected).
[1]: edit for more information: PWRs and BWRs differ substantially here:
PWRs primarily use boric acid in the coolant to limit reactivity at the beginning of a fuel cycle, which is diluted out over the course of the cycle. One bank of rods is used for fine reactivity control. This gives them a generally even power distribution across the reactor.
BWRs primarily use their control rods, so start the fuel cycle with substantially more inserted. A significant part of designing the fuel layout for a cycle is also designing the control rod patterns to be used over the cycle, to control excess reactivity while maximizing fuel use. Power distribution across the reactor can vary wildly, so it’s a much more challenging engineering problem.
I just remembered I actually have a detailed visualization illustrating (modeled) power distribution in a BWR. You can easily see where control rods are inserted and how that has shifted the power around. https://www.kmr.me/posts/coremap/#content
American nuclear submarines use them, as does France's power generating reactors.