You can totally retrofit existing nuclear power plants for closed loop cooling. I'm not sure what the cost would be, though, but it might be worth doing.

I've read that in the case of Paks a retrofit doesn't make sense because the entire thing is so old and needs to be rebuilt anyway.

However, hopefully, they change the plans for (stalled project) Paks 2, because that would've used the same cooling system as the first one.

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I believe there was also a planned much cheaper retrofit to use pumps to increase force to necessary levels but it was scrapped.

Is it economically viable to run though? Natural draft towers or direct body of water cooling is used almost universally since it doesn't take any extra power. A large chunk of the powerplant's output would be running heat pump compressors to stop itself from exploding.

Fully closed loop is probably not viable. But I suspect that's not the extreme GP might have meant.

If for the sake or discussion we simplify cooling to four options:

1: just passing river water through a heat exchanger for cooling

2: ingesting river water, using it for cooling, then passing it through a cooling tower before returning it to the river

3: pass the water output from the cooling tower directly back in the cooling loop, only ingest enough water to replace evaporation

4: fully closed loop via direct heat exchange with air

Then 4 is not very viable. But a lot of nuclear plants are stuck at 1 or 2, and each step up the ladder would allow them to operate in worse conditions. This one seems to be at version one

How do these things, whose sole purpose is to turn heat into electricity, end up with so much extra heat that it takes more energy than they produce to disperse it? Can't the excess heat in a closed loop system be captured and used to power the cooling? Sorry, maybe this is a stupid question.

Thermodynamics, specifically the Carnot Cycle.

Heat engines do turn heat into mechanical energy (motion).

What they don't do is do this with infinite efficiency.

In practice, Carnot engines (heat engines) tend to operate at efficiencies between about 20 to 50%, with an average close to 30% percent. This means that most thermal electrical generation produces roughly three times as much heat as it does electricity. This applies across thermal mechanisms: diesel generators, gas turbines, coal-fired steam, and nuclear-powered steam plants.

There's some room for increased efficiencies, and multi-pass systems, or systems with incorporated thermal applications (district space heat, industrial heat, food preparation) can achieve higher net efficiencies, though I believe the peak is around 60%, and that is rarely achieved.

The other parts of the generating cycle are far more efficient. Generators typically operate well above 90% efficiency (mechanical energy in to electrical energy out), and distribution typically sees about 6% losses.

But that first thermal step costs a lot. There's no such thing as a free lunch.

<https://en.wikipedia.org/wiki/Carnot_cycle>

Wouldn’t a Carnot engine with 33% efficiency produce 2 J of heat per 1 J of mechanical work? With 40% efficiency 1.5 J of heat? Efficiency of the generator should be better than 90 % so I think the 3x estimate is a bit off.

The heat is spread out to a much larger volume.

Heat engines are most efficient when the temperature difference between the hot and cold side is high, so you need to keep it that way to extract energy.

A nuclear power plant achieves this by converting extreme heat from a small, but very angry rock to a huge lake of slightly warmer water.

There exist reactor designs which operate at higher temperatures, thus increasing efficiency, but they're complicated as everything needs to be more heat-resistant.

"Heat" is really entropy gain, and so in order to do useful work you have to increase the entropy of the system to higher and higher quantities. If you want to move entropy from one closed system to another(to cool one system down) then you must emplace even more entropy in the one system than you removed from the other because you must spend entropy(generate heat) in order to force a change in the state of the other system. It's a fundamental law of physics. You cannot reduce the entropy of the universe by any means.

This is true whether you use an engine, a river, or a solid-state fully electronic device. Even humans must obey this law, and indeed there has to be some air movement for us to cool down using our sweat, and interrupting or changing that air movement costs energy and therefore increases entropy somewhere.

5. scrap 1..4 and build a gas cooled reactor instead.

https://en.wikipedia.org/wiki/HTR-PM

First of all you can't retrofit every npp with that, it's a lie. And eve; if you could, you are correct, it's financially not viable. Renewable energy is always the cheaper option by far.