Once again, the voltage will only increase rapidly up to the point that the core saturates. Beyond that it will depend on the direct magnetic coupling between the windings.
In any case your scenario would end up predicting an infinite voltage across all inductors, since they have no secondary at all.
If you had perfect coupling between the windings the voltage across the open secondary would be at most the product of the turns ratio and the drop across the primary because of the inductance.
The credible failure mechanism for the CT would be heating of the core from hysteresis losses.
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Yes you are mostly right. However I still like the concept for introducing people to why is is not a good idea to open circuit a Current Transformer. Yes, if one draws out the model of a CT, lists the equations accounting for saturation, your model shows the voltage does not go to infinity. That is absolutely true. Still, I like my model of "Summation (NI) = zero" for first order effects. Be that as it may, you are absolutely correct.
So tell us, how high might the voltage get? Don't just creep up the burden slowly, increasing the load resistance while the CT heats up, rather cut the wire with a suitable meter across the cut ends. Did I just fry my fluke 87?
Different Subject:
The physics of a multi-turn inductor are different from a one-turn primary CT. Normally one does not drive inductors with an infinite compliance current source. I'll leave that for a later discussion.
Change subjects again:
As for the creditable failure modes, I'm certain you know better than I. I have never seen any papers on CT failure modes. And i have never personnaly done an autopsy.
ice