An ungrounded system is may have issues with discontinuous ground faults, AKA arcing ground faults.
In the event that a transformer winding fails and starts arcing to ground, it may generate high frequency currents.
The transformer winding may then act as an auto-transformer and impose high frequency, high voltage on the affected phase.
In the days when ungrounded systems were common, more than one industrial plant lost a large number of motors due to an arcing ground fault superimposing several thousand Volts to ground on one phase.
The zig-zag transformer provides a symmetrical ground connection for an otherwise ungrounded system.
You may also provide a symmetrical ground with a small wye/delta transformer bank.
Asymmetrical grounding may be accomplished by corner grounding a delat or by grounding the center tap of a for wire delta bank.
Eg: 120/240 Volt, four wire delta.
Bill
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"Why not the best?"
Jimmy Carter