Carefully weigh the need for using a full-delta autotransformer set. Within the existing, one coil will have to be reversed with respect to the other, and the added transformer will need an 8.66kVA rating [15/2*2/root3] to be compatible with existing pair. There will also be some high-to-low-voltage phase shift introduced that is not present in the open-delta bank; e.g., for 2:1 ratio, that will be {potentially undesirable} ~60° leading or lagging, depending upon connection.