Maybe give each part an overwhelming solar array and robust SMES to back it up? What's the fun in that, though?
brainstorm me solutions to problems you don't even know exist spessmen thread
Obviously, each section is going to have a power line running from it to Engineering. There's no point in having an Engine otherwise. Maybe the power line starts wired, maybe it doesn't, but either way, you should absolutely expect Engineering to try to put Singularity power into the station. As far as backup power goes for the various modules, you have options:
Solars: The most obvious option! This section gets 1 SMES, 18 solar panels, a solar tracker and a coil of cables behind an engineering door. If the Singularity wires to this section start wired, the Solars wires start unwired and vis versa. This provides unreliable power long into the round, so you'll want this for areas like the Diner, Dorms, Library and Chapel that can afford to have unreliable backup power.
A P.A.C.M.A.N generator: Less obvious, but still doable. This area starts with a closet containing a generator, an exposed wire, a crate of plasma sheets and a Wrench. Best for areas that either need a lot of power all at the start of the round like Research and Medbay or for areas that can be expected to build their own power supply in short order, like Cargo and Engineering.
A crate full of power cells: The most reliable, but most effort-intensive option. Includes a table with a cell charger, 3-7 High-Capacity cells and a single pair of yellow gloves. Good for Command and Security, where you have someone (HoP and Warden) who is expected to be hanging around most of the shift keeping an eye on things. Requires that the Warden start with APC access, though.