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I think it was built of unobtanium, with heavy applications of Handwavy Science.
In other words, it was a cool plot device, thought up by the scenario writer, and no real thought was put into allowing a PC to get hold of one.
Plus, it all goes FUBAR, anyway, so you may want to rethink building one too close to home.
I think it depends on what they're expecting it to power. Are they trying to create electricity-powered-type objects? (Light and heat the city, pump water through some sort of reclamation, etc.?)
Or are they hoping it will be some sort of magical engine to produce or enhance magic - in which case, I'd just say "No."
But in the case of providing light/heat, a power plant might provide heating and lighting to a single District in which it is located, which sounds to me like a sizeable Loyalty bonus (improved quality of life, and a bit of enhanced personal safety for those walking along the streets). The "safety" aspect means a slight Stability bonus. And you could argue that the steady lighting would make it easier to have people work longer hours, so that might be a small Economy bonus.
Downsides: Summoning powerful devils to be bound in such a structure ought to cause some significant Unrest (the nuclear power discussion you mentioned). Picketers, etc. Oh, and there should definitely be one or more new items on your Kingdom Event List:
"Political Demonstration" - Anti-devil demonstrators picket the power plant (and/or the council member's offices and homes). (Decide what game effect this should have.) (It's also possible the "demonstrators" are devils "protesting" the PCs actions in binding their favored allies or servants...)
"Containment Loss, Minor" - The magic circle containing a powerful devil is somehow broken, releasing that devil to run amok in the city. (Decide what it should do - destroy one or more random city blocks?)
"Containment Loss, Major" - This one is where you get to go nuts. The power plant itself should probably suffer destruction (half price to rebuild), but it should also either take out a substantial number of adjoining buildings, and/or release/summon a number of powerful devils to cause destruction until the PCs can stop them.
So, say, the following:
Power Plant (36 BPs, 2x2): +8 Loyalty, +2 Stability, +2 Economy, -6 Unrest. Cannot be adjacent to a House. Adds the following Events to the Kingdom Event Table: Political Demonstration; Containment Loss.
(NOTE: The price is a bit lower, but Loyalty isn't very game-breaking. If they came up with a reason why it should be a big Economy boost instead, price it a lot higher...)
(NOTE 2: Where'd I come up with the 36 BP price? Magic eyeball...well, okay, it's 3 x the number of points it adds to the kingdom stats. I didn't give a reduction in cost for the Unrest and other negatives, since getting a big boost to one stat is already a good deal. And if you can come up with any other benefits, such as other Buildings it would make cheaper, make sure you increase the price accordingly.)
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Personnally, I wouldn't let them 'just build that'. The building itself would be an empty shell: filling it with a bound devil would be played out as a side quest.