(1) "24/7" is a slight exaggeration. Every geosynchronous satellite passes into the Earth's shadow every 24 hours. It may stay in shadow less than 12 hours, but "24/7"? No.
(2) The power beams had better stay focused on a few reciever stations with very high fences and warning lights to prevent airplanes from flying through the beams. Birds, of course, will surely get microwaved all the time.
(3) Not a new idea.
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The satellites are over the equator, which is tilted wrt our orbit around the Sun. When they are opposite the Sun they are below Earth's shadow. Except at the equinoxes, so twice a year. (Or maybe two or three times at each equinox, I'm not sure.)
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