Fair enough. Still, it's one thing to be specced for 24kW peak load (the breaker) and quite another to require 20kW continuous (two 10kW nuclear power plants). I still think 20kW is an awfully huge amount of power - the average US house only uses about 1 kilowatt when you smooth it out.
Same as in a car or any air conditioner. You pump a hot fluid to/from radiators. Look at the iss. See the big black structures always held perpendicular to the solar panels. Those are the radiators.
You build your walls out of Peltier elements. On one side of capsule, hot side will be in, cold side out, the other side of the capsule, the reverse. And then you use the generated power to drive a laser to shoot the energy right back into the sun.