Here is a simple concept from Lawrence Tseung and the "Lead out" theory.
FLEET stands for the "Forever Lead out Existing Energy Transformer", Forever being Lawrence's grand daughter, upon whom, we think, he dotes!
Note that the field from the left hand input coil must be wired to reinforce the permanent magnet, and that the pulsed DC input, feeding into a LR circuit will have a resonant frequency at which the circuit should, in all porobability, be driven.
I am sure Lawrence will not mind my quoting him here:
"Found a Company in Shenzhen that sells transormer cores.
Gaotune Technologies Co. Ltd.
http://www.gaotune.com
Looks like we can find a match between their products and our magnets.
I made a mistake of trying to get a transformer from dismantling an existing product. That transform was of the E I type construction. It was not the C core type needed".
We should be able to find a local dealer
...and a possible source of cores in the UK:
http://www.wiltan.co.uk/
I shall start with the ferrite toroid from the scanning coils on the neck of an old TV.
They come apart into two semicircles very easily.