Hello Ewan! That does sound like a distribution problem, but it should definitely be possible. You probably just need to tweak your setup a little, without moving your power plant. I would like to help you figure it out.
I have a few ideas/question:
- What is your current power draw? You can see in the FAQ how to calculate that.
- Are you playing with high-powered modded buildings. That might be harder to distribute power to, but vanilla should be fine.
- How are you distributing the power in your actual base? You will need a main vein of high voltage power running, and transforming it down where you need it. For example look at the third image on the modpage how I did just that (or the Google Maps style map here).
- What are the power level of the big power poles at your nuclear plant? And when it reaches your base? You can put an energy sensor next to it to see the level.
As a last resort you can always send me your save, so I can see better what the best approach would be. But it's definitely possible to have your nuclear plant on a different island :D