Bearing in mind that there are many ways to keep a tank sucessfully, it really depends on your budget, space and time available. Personally i would use mediareactors but seeing that you are focussing on lps, a refugium is really not a bad idea. Perhaps you can give some details as to your current filtration setup, and explain which inadequacies you want to "overcome."
In an lpsdominated system, or any system for that matter, a refugium definitely helps with the addition of a constant trickle of live food. Although to really draw benefits from this, you will have to have a significantly sized refugium.
For a refugium to make a significant impact on nutrients, again, it will needto be a significant size. Simple truth: the assimilation / explrt rate of nutrients by bacteria far exceed that of algae.
My approach would be to go with both if resources allow, although i would focus on bacterial real estate via a and carbon methodology, complimented by a refugiu . The fun part would be to balance nutrient input to export, to the point where desjreable macroalgae still manages to grow in your fuge and zooplankton have enough nutrients to sustain a population.
Something to the effect of skimmer>Orca biocubes / zeovit / matrix >Gfo reactor & carbon reactor > return pump in sump and feed to as well as return from fuge in same sump compartment as tank return pump.
A regular dose of a little live phyto plankton to the refugium also a really great idea
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