I am trying to workout transfer function of current transformer from the experimental frequency response curve. I found that Current transformer has magnetic core which has a non linearity. So the system can be treated as non linear system. From my understanding Transfer function approach is valid only for linear systems.
It is usually much more desirable to have a linear transfer function, but is there any reason why your function must be linear?
A diode is non linear but we still functionalize that curve and are able to incorporate it into circuit equations. A bit harder to solve, but nonetheless doable.