High Leakage Transformer

Not true.
If the secondary is short circuited, there will be current in the secondary and in most cases, the magnitude of the flux caused by the current in the secondary will be only slightly less than the magnitude of the flux caused by the current in the primary.

'...the magnitude of the flux caused by the current in the secondary will be only slightly less than the magnitude of the flux caused by the current in the primary....'

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But, of course the flux will not be nearly twice magnitude of the flux that would occur if the secondary were not there.... .....because the current in the short circuited secondary is in the direction such that it opposes changes in flux.

In short the magnitude at a certain time may only be slightly less, but in the opposite direction. Which, I think, is what the OP is after.

I'll confirm that the statement is valid with the right conditions.

Further:

All other things being equal, the flux in the portion of the core under the shorted secondary is closer to zero when:

-the secondary is a better conductor (frequency dependent)

-the transformer is has more leakage especially between the primary and secondary.

-the frequency is higher (with a caveat related to the better conductor condition above)

Actually the transformer works at 60 HZ frequency - Is a ferroresonance transformer with high leakage inductance.

....and this changes the scenario, how exactly?

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oh, wait.

What is the thickness of a lamination in the core? Also, what it the effective cross sectional area and the length of the path through the core?

What is the point of operating a transformer in short circuit without its protective devices operating to stop it happening? Is this some kind of joke? Does the individual doing it have some sort of unfulfilled death wish?

Actually ferroresonant transformer works as a "Constant Voltage Transformer" - It is self protected against short circuit at its output - It passes only 1.2 -1.6 of its rated current at short circuit - and it can run short circuited for years without damage.

And why would one want to operate a transformer that isn't supplying power to its downstream load?

Actually I designed a transformer for 100% impedance per the customer's specification.

The customer wanted to hipot cable and he wanted the current to continue after the cable failed. Customer never said if he wanted to make sure the cable had a positive failure or if he was trying to locate the failure.

Actually I want to design a Constant Voltage Transformer (CVT) 120V, 500VA - FERRORESONANT

Any special design equations or procedurs are available for that ?