Rebonjour à tous
Just seeing this
Our experience since 1970s, at high power SMPS transformers.....
Saturation is not approached, even at max primary volt seconds.
Power handling is set by worst case hotspot, and insulation class, (classe 105, 130, 150) and regulatory compliance
The old rule of thumb was design worst case load, etc, for equal copper loss and core loss.
Nowadays that is not an optimal ratio, but a good starting point.
Of course in a high frequency SMPS transformers or inductor Pcu must include IsqR, skin and proximité effect, and consider the substantial temp coefficient of the copper.
Thus a transformer's design power rating is not quite as simple as mentioned.
Most ferrite core and materials specs include curves of,losses vs excitation and temperature, to,find,an optimal hotspot temperature as well as flux densité in typical application.
Check spec of core matériel and core shape from manufacturer, like TDK, NiCera, Philips, Siemens
Old catalogues should have that information
Finally the only Simulator and CAD,we have used was,Intusoft, Magnetic Designer, available gratuit.
Bon courage
Jon