> Collect energy in the sunny side, send it to the dark side and from there to the earth.

This part isn't necessary, the satellite simply has to be placed in a higher orbit so that it spends very little time in the shade. Of course, now you need to transmit the energy over a greater distance, but you probably want to keep your power satellites in a geostationary orbit anyway so you don't need to keep switching between multiple power satellites

Need satellite to satellite transfers for that, because sending energy from halfway of sunny side using atmosphere is not feasible as most of the energy will dissipate because much longer atmosphere pass through. Even then satellite to satellite transfers need to be super efficient because you don't want to cook the satellite receiver.