Hello friends can share me three winding transformer flux modeling interms fulx linkages matrices (not a turns ratio , inductance matrix ) other than that .
A comparative study related to your query is Article Dual Three-Winding Transformer Equivalent Circuit Matching L...
For multi winding case see also : http://www.deltartp.com/dpel/dpelconferencepapers/Pesc94%20model%20of%20multiple%20winding%20trans.pdf and may be https://www.coursera.org/lecture/electronic-converters/multi-winding-transformers-nJ09A
One ha sot be particularly mention the phas rlationship bett the 3 windings . As per the phsor relationship , the flux linking could be additive or subtractive with time lag . As such for pwer trnasforemr . the 2 output are nomally in phases .