I think that you are getting lots of answers because there are lots of possible different details which can give different results.
Regarding connecting a transformer with a solidly grounded wye primary:
In general, when a wye winding is used as the primary of a transformer, the neutral should be allowed to float. This is because the neutral is being 're-derived' by the winding, and huge currents can flow if the neutral is connected.
I am _guessing_ that this came up because there is a desire to take a transformer designed as a 1KV delta:0.4KV wye and using it in 'reverse' to step 0.4KV up to 1KV. If this is the case, then this will cause a huge increase on the inrush current.
The reason is that when transformers are designed, the secondary coils are placed on the inside near the core, and the primary coils are placed on the outside. This increases the 'leakage inductance' of the primary coils, which acts to reduce inrush current. When the transformer is used in 'reverse' you don't have this feature working in your favor.
Finally, with proper switching, my understanding is that transformer inrush can be greatly reduced or eliminated. Transformer inrush is caused by a combination of residual core flux and energizing phase angle. With proper switching control you can drop the transformer straight into steady state operating current.
Unfortunately, beyond telling you that this is possible, I do not have the experience to walk you through the details of selecting appropriate components.
-Jon