I have an old Westinghouse book on transformers that describes an "equalizer" winding that is used in CTs to keep leakage flux out of the core. But it is wound separately on the core and then connected in parallel to the main winding.
As I understand it (which is questionable), the goal is to force the leakage flux out of the core so that it does not appreciable increase the exciting current. Since the two windings are connected in parallel, the voltage on the two coils is the same, hence the flux in each coil must be nearly equal. If leakage flux attempts to flow in the core through the equalizer winding, the induced current in the equalizer winding will oppose this flux and tend to force it out of the core into the air.
Not sure if this is related at all to the parallel winding described above, but it was new to me, so I thought others might be interested.