Re: 3 phase delta 240  V
If you visualize 3 ungrounded line conductors feeding various loads and it stays that way every thing is fine.  Now, one of those lines happens to go to ground due to a motor failure of whatever, it is still not a big issue as there is not complete circuit back to the source.
 The big danger comes should a second line go to ground especially in some other location in the facility.  Then visualize the path that the fault current will take from the point where the first line is grounded to where the second is grounded.
 There is no telling which piece of building steel it will travel through, machine frame, and conductive item that may between and in the path of that fault current. It's pot luck.
 As the other poster stated a ground detection system is a must in order to detect and annunciate that a line has gone to ground.  These systems are commonly used where a ground fault in a grounded system would shut down a continuous process which would be quite costly.  With a ground detector system, the qualified personal would be notified so that the grounded line can be isolated and repaired of to give one time enough to shut down the process in an orderly fashion and then locate and make the repair.
 Please correct me if I'm wrong but I don't believe you can use an ungrounded system unless the are qualified people available to supervise the system if required.