Consider a zig-zag transformer on either the primary or the secondary to provide the needed neutral reference point.
A wye/delta transformer or bank may also work.
A simple analogy.
Consider first a 120:240 volt panel with 120 volt resistive loads. If this panel looses the neutral connection, the voltages across each load group will be in the inverse ratio of the loads.
Now if the resistive loads are replaced with 120 volt transformers and the neutral connection is lost, saturation becomes a factor. As the voltage across the lighter loaded transformer rises to the saturation point, the current increases. The increased current due to saturation tends to limit the voltage swing.
This is further complicated by power factor and, for some three phase transformers, the phantom delta effect.
It is generally not a good idea to float the primary of a wye delta bank unless there is a zig-zag transformer or a delta connected winding somewhere in the installation to provide a neutral point.
Bill
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"Why not the best?"
Jimmy Carter