More reactors complicate the powergrid
Some of this is from my layman understanding of power production, but it should be accurate enough for a story if no hard science is required.
If the reactors are all connected to the same power grid, you could say that the power management becomes more difficult.
Even in the real world, this is a large issue; Reactors don't turn on and off at the press of a button, they have spinup and spindown times.
Remember, a reactor in the real world is often just a producer of heat, and we're not talking just 110 degree Celsius, which would be 10 above boiling water, we're talking 500+, in order to make steam, that is used by turbines to produce electricity. And these are BIG. So they are slow to cool, and slow to stop or slow down spinning. So they constantly produce
But excess electricity isn't just stored in magical hammer space. It's like pressure in a pipe, it has to go SOMEWHERE. If you don't feed it to the weapon, there are wires and capacitors that are going to heat up, and that's going to cause interesting reactions in said capacitors. (Don't stand near them, is what I'm saying)
Having extra reactors could complicate the power grid, especially if the grid is separate from a city or nationwide grid.
If each reactor is paired up with a separate reactor on individual power grids, this is less likely to be the issue, but if they are all connected, and feeding one singular weapon, management of these systems would be a cause for making the setup harder, if not the actual construction.
TLDR; You can contrive the technology for energy management to be such that having multiple reactors requires more and more intense infrastructure