In the sketch, the green triangle shows a delta:delta or a star delta with a floating neutral. The voltage is low on one phase. The phase angles adjust to compensate for the uneven voltages.
The second sketch shows a star connection with low voltage on one phase.
The neutral is connected and this locks the phase angles in at 120 degrees.
One side is short on the delta secondary.
A couple of effects when a four wire wye:delta is used on a distribution circuit.
If one primary phase is missing, the bank will back feed that phase.
If two primary phases are missing, the two open phases will be back-fed with approximately 50% voltage. On a mixed, industrial and residential circuit, this kills refrigerators and freezers.
A line to line short will be back-fed and the fault current will be twice the expected current.
When I had responsibility for the small system it took me a couple of years to get rid of the star delta transformer banks.
Once the star-deltas were gone, there were no more refrigerator burn outs in the community.
Bill
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"Why not the best?"
Jimmy Carter