More a dream than anything else. Deploying all this stuff in orbit is extremely expensive. The ISS costs almost as much as ITER, and it’s just a fraction of the size of the proposed space stations. The “Solar Power Array” needs to deployed in geostationary orbit (that’s 36000km away) for beaming down the energy to its base station (or maybe have several base stations and direct the beam to the closest one if you deploy in LEO).
I think DESERTEC is much more plausible, which seems to be backed by Münchener Rück (world’s largest reinsurance company).