It looks like jbartos is right. A star for him. The starting transformer is a wye-wye and the run is a delta-wye. Without more information, it is safe to assume that the secondaries of these transformers are not in phase.
It is possible for them to be (almost) in phase. Consider the following case:
common 15kV source --->15/6kV D-Y --->6/0.380 Y-Y --> start
common 15kV source ------------------->15/0.380 D-Y --> run
My question is...Even if the start and run circuits are in phase, why would you want to feed them from different transformers? The secondary voltages are the same, so it is not for reduced voltage starting. And, if starting is the reason, then wouldn't some form of reduced voltage starter be more practical than a separate transformer?
If Elhouni would elaborate on his reason for wanting this, perhaps someone in the forum could offer a more practical alternative.
Also, I am not familiar with the following : Transformer 6/0.380 kV ,Yyn6 and Transformer 15/0.380 kV ,Dyn1
Can anyone explain 'n6' and 'n1'?