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I read yesterday that a just-shut-down core still produces about 6% of the heat of an active core so if the reactor was rated at (say) 1.5 gigawatts of thermal output, it would still be producing 90 megawatts of heat.
That's a lot of heat and is far in excess of what any cryogenic cooler is capable of. And they're powered electrically and one of the big problems is that there isn't much electricity available at or near these plants right now. =========================================
You are exactly correct. Each of those reactor plants has an electric output as follows: 460 Mw for Unit 1, and 784 Mw for the other three in the set of four. < the 2 newest units are 784 and 1100 Mw >. That's the electric output. Since the Rankine steam cycle is only about 30-40% efficient, the thermal output of those plants at full power is about 1.3 Gw for Unit 1, and 2.4 Gw for the others. Right after shutdown, the heat load due to radioactivity is about 6% to 7% of the thermal reactor power pre-shutdown. So 90 Mw is the correct number for Unit 1, and something like 150 Mw is appropriate for Unit 3.
There's no cryogenic system that can handle that type of heat load. Additionally, you want lots of heat removal capacity, meaning you want the coolant to have a high heat capacity. Heat capacity is the product of specific heat and density.
There you have a real problem. These cryogenic cooling systems use gases as the coolant. The density of a gas is about 1/1,000-th that of liquid water. So even though the gases are very cold, that doesn't make up for the fact that they are also 1/1,000-th the density.
You also need some type of pump to get those gases into the reactor. In order to prevent as much boiling of the coolant as possible, the pressure in those systems would still be kept pretty high. A BWR normally runs at about 1,000 psi. A PWR normally runs at about 2,000 psi. So you need a pump to get the coolant gas into the high pressure of the reactor system.
Cryogenics is neat and whiz bang, but it doesn't buy you enough heat removal capacity to tackle a problem the size of cooling a power reactor.
PamW
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