Hypermatter Annihilation Reactors (scientific feasibility: none, "Star Wars Factor": 100%). There's one at the very back, one big reactor in the "middle" and a smaller one in front. Starships like this consume immense amounts of power ("several main sequence stars" for a Death Star, says
Wookiepedia) so "fusion" isn't going to cut it.
This ship is intended to rival the Death Stars in sheer power output, having enough shield energy to withstand a concentrated bombardment from several super-heavy capital ships (such as Executor-class Star Dreadnaughts). Such an arrangement is indeed possible, the Rebel Echo Base shield powered by a Mandator Star Dreadnaught reactor could resist the entire fleet that had arrived to assault it ("Strong enough to deflect any bombardment" from a fleet of an Executor plus its supporting Star Destroyers, probably 12 or more). This ship's reactors are many times more powerful than a Mandator (the rear one being entirely devoted to the weapons array, in particular the super laser).
Yes, I'm a nerd...
Note: Could snap ISV Venture Star in half by looking at it

Could send RDA packing. Or turn Pandora into a ghost world of charred rock and phantoms.