Wouldn’t it be more of a “dyson cluster” of satelites surrounding a star to capture “most” of it’s output?
They’re lookin’ for the Moties!
Wasn’t this an episode of ST-TNG?
Getting back to your comment, here's an excerpt from yesterday's Centauri Dreams...
Moving power generation into space is certainly something that would motivate a civilization a good deal more advanced than our own, and using abundant asteroid material, it could spread power generation entirely around the star. Stephen Battersby, who wrote Alien Megaprojects: The Hunt Has Begun, doubts they would create a single shell because it would be gravitationally unstable. But a Dyson ‘swarm’ is more plausible, with hordes of large power stations moving on independent orbits around the star. Dyson, who likes to talk about what is observable rather than what’s probable, thinks we could spot such a project through its waste heat in the infrared.So, spot on, young lady!