What is going on this circuit(below) and what would be current measured by ammeter(zero or non zero)?
Description-
These two transformers winding are star star connected and a balance sinusoidal three phase voltage source is applied on primary side (without neutral)
Problem in my analysis-
Due to load Z there should be a current (or loading current) in only one winding on secondary side(an) because other two are open but if current flows through one of secondary side of winding it causes current flow in primary side of winding AN to balance mmf in the core but if current flows through AN then it must be also flow through other two windings of primary side to complete the path of current (because there is no neutral connected between primary and supply) .
But if current flows through two other windings of primary side then it causes current to flow through other two secondary windings (again to balance mmf in the core ) but this is not possible because other two are open circuited so what is actually going on in this circuit ?
Assumption - take these transformers as ideal as possible to avoid any unnecessary complexity and assume no harmonic effects