winnie,
If one elects to use a GFCI, what device did you have in mind? Ungrounded deltas are commonly 480v and in industrial facilities.
Would that device be list for application in such a system at 480v and would it work?
The purpose of and ungrounded delta is the continuity of service. As an example a line that produces glass. If it's shut down with no warning what happens? With an ungrounded system, as soon as there is a ground indication it affords the opportunity to locate and isolate the failure or shut the process down in an orderly fashion.
Dave