It's the Jump Drive itself that's doing the extra special space magic work on the jump fuel, whether that be fusing it rapidly, inflating it into a jump bubble, using it as reaction mass to fling the ship through Jump Space or whatever, but it has an external power requirement on top of that. That could come from a fusion plant, fission plant, solar panels, batteries or whatever.
The precedent of X-Boats pretty much confirms this is a peak power requirement ONLY at Jump. Once inside Jump Space it's back to base hull power requirements.
Worth noting that the original X-Boat has a lot of tonnage assigned to (at the time) non-standard stuff like communications arrays and data storage. So does it have extra batteries too? Probably, but it can be rolled into the rest of the special allocation.
Also, there's an interesting note there that "Ship can operate automatically without any crew."