190301-2015 EST
mbrooke:
I am not involved in transformer design.
Your first question.
Concerning series impedance. This primarily consists of two components, R and L.
One can increase the amount iron, larger core area, and in turn reduce the amount of copper, or the resistive component.
Separately for a given core area one can adjust the material, amount of air gap, and the way the coils couple to the core. Increased air gap increases leakage flux and inductance, changes in core material change leakage flux. Bifilar windings reduce leakage flux, and therefore inductance. Windings on different parts of the core increase leakage flux, and thus inductance. Tape wound cores with no specific air gap produce low leakage flux, and low inductance.
As flux density increases leakage flux increases.
Can't answer your other question.
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