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With that out the way; I created a new survival world and built a grid that had a Bussard collector, a Deuterium tank, an Extractor and a warp core. Joined them all and everything worked perfectly. The collector produces ice when in motion; it converts it to liquid deuterium which the reactor takes as fuel; if there's excess it goes into the tank which the reactor takes from if the collector is idle.
The only thing I did notice is the particle animation on the extractor wasn't showing; I'll have to check that out. Apart from that it all seems to be working. Your issue could be a problem somewhere on your grid or possibly even with a mod that is somehow interfering with this one.
The cores are static; if I find a way to animate them so that the animation looks fluid across multiple blocks I will implement it. I can animate it; it's making it look decent that's the hard bit.
Question, is the core static or is it intended to be animated?