With a wye:wye facing the generator and the wye point connected to the neutral, the maximum safe single phase KVA load is 1/3 of the set KVA rating.
With wye:delta facing the generator, the maximum safe single phase KVA load is 2/3 of the set KVA rating.
At less than full load, this translates into less internal voltage drop, and less phase to phase voltage variation with unbalanced loads.
The generators that I am familiar with often require about twice the excitation current at full load as at no load.
Worst case: With one phase fully loaded and the other two phases unloaded the unloaded phases may have a ratio of as much as 2:1 compared to the loaded phase. Depending on the AVR sensing scheme, one or all the voltages may be far from normal.
A delta facing the transformer will place an equal KVA loading on all three phases. Two of the phases will be loaded at a 50% power factor.
While this may not apply to solar generation, it is the reason that a delta facing a generator is the preferred arrangement.
Bill
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"Why not the best?"
Jimmy Carter