In my experience, sumps are a great addition to just about any tank setup. For me, the greatest benefit of a sump is the added overall water volume that it provides. Greater water volume = greater tank stability. The sump also provides a place to put your thermometer, protein skimmer, return line from Ca reactor, etc. etc. etc.. In my own personal system, I have a 55 gal. tank and a 35 gal. sump.
A refugium is a bit different. It is a place where you can grow "other kinds of organisms" that might not otherwise thrive in the main display tank. They usually have a lower flow of water through them, and will also have their own light source - often times in reverse cycle of the main to stabilize PH.
Some people section off portions of their sumps with dividers and create a refugium out of part of their sump (probably for lack of space in the stand).
HTH. - Jared
If you want more information on sumps or refugiums, let me know. I can point you in the right direction - ie., links, and studies done - if you are interested. It helps if we know what you are trying to achieve with your setup.