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>How do you get/make the transformer for something like
>this in those circumstances? (Hand-winding is not an
>option, I guess :)

Well, hand winding is definitely an option, for the quantities you quote.
Taken to the extreme see if there is an intellectually disabled persons
workshop near you, and see if they would be interested in piece work. The
company I did my apprenticeship with did this for winding toroids for power
supplies for valve transmitter equipment that ran of vehicle power supplies.
Worked extremely well.

But another option is to look at small transformers from the likes of
Coilcraft. For your purpose I suspect something like a gate drive
transformer will do the trick. Have a look at the Coilcraft S5499-D and
drive it with a transistor with 50% duty cycle at around 10kHz. We use it
like this to provide an isolated drive to some FET gates to turn them on for
a DC drive. (see attached picture). 

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