Thanks. Why are neutrals not used on these? I have only ever done doorbell transformers.
Because what they are teaching students isn't exactly real world. Wye ungrounded delta transformers are rare in the real world both for NEC electricians and poco linemen. Any engineer would discourage their use. A functioning connection yes, but rare.
However, an ungrounded delta secondary is often used to feed factories especially old ones. Often the 3 phases X1, X2, X3 are not grounded at any point. This system has no neutral since all the loads are connected between phases. Of curse the loads must be for the higher phase to phase voltage. Most of these run at a voltage of 240, 480 or 600. The electrical system has no neutral. Of course you still have ground wires and ground busses, but no neutral wire. Just phase 1 2 and 3 plus a ground wire. A device called a ground detector makes sure none of the 3 phases are faulted to ground or a metal frame somewhere in the system. This again is called an ungrounded system.
Another system is a corner grounded system. One phase, usually the X2 is grounded down (connected to the ground buss at the service). All loads are connected phase to phase, but one of those phases just like a neutral remains close to ground potential.
Hope this helps.