Cuky, The delta auto connection as explained by you cannot be used for a ratio more than 2:1. In such condition, extended delta or open delta connection is used.When it is 2:1, rating required for delta connection is 16 % more than star connection. V1-V2 vectorially is much more than the arithmetic value due to the considerable phase shift. Delta auto connection is recently used in GSUs of pumped storage hydro plant. Delta LV of GT is provided as auto connection, motor starting at V2 and then later changed to higher voltage of V1. More details and theoretical analysis of these auto connections are covered in Chapter 8 ( written by A Boyajian of GE) of Transformer Engineering By L F Blume (1951)
Raghu,in India, almost all of step down transformers are YNyn with out any stabilizing delta winding. Auto transformers (below 100 MVA with 3 phase 3 limbed core type) are also without any delta winding. Major transmission company has 100 & 160 MVA 220/132 kV auto-transformers without any delta tertiary. This is the situation for the last 30-40 years. I understand from reliable sources that both US and France has many large auto-transformers ( 3 phase 5 limbed and single phase banks) with out stabilizing delta tertiary since 1950's.But US has delta tertiary in some of the step down units as Mbrook confirmed, may be due to Yyn connection used. So my query was, will there be zero sequence flux heating of tank in YNyn transformers during LG fault or unbalanced loading?