Upon finding my second base, my first base always has sections power down, usually the living quarters, vehicle bay, medical bays. They power right back up when I click on them but if I forget my troops spend a lot of time at the base not resting and not healing, so it’s a bad thing.
I have this bug, but I don’t know if it requires having a second base. What happened was I got the synedrion factions 50% power generation bonus, and added 3 more power using buildings to my base, raising my consumption to 23/30. I noticed every time I completed a mission my base turned certain buildings off until it got to 20/30 (the max power before the 50% bonus). When I deconstructed buildings until my consumption was back to 20, all buildings remained powered.
I think this bug is directly linked to the bonus power tech. Hope this adds clarity.