"Hi Martin, as it operates about 50/100KHz virtually any ferrite should do. It should be a transformer type with no air gap.
The turns are normally based on the transformer equation for square waves
N= V/ 4 * F * B* Ae
N=turns, V=volts F=frequency,B= flux density, typically 200/250mT for a ferrite, Ae the centre pole area in M^2
The actual losses come out later on in the design process and are not part of the initial criteria
Copper sizing is normally based on 3A per mm^2 of cross sectional area
The
turns figure he gives looks about right for something like an RM10
core, or you could try an EE25 or an ETD29 core in sat F44 materials
ETD's are the core of choice for this type of application and should be readily available.
The
more turns that are used the lower the iron losses and the cooler the
core runs, but the copper losses increase unless fatter copper is used.
Skin effect will be of minor importance at your frequency
It
would also work on a normal laminated core at 50Hz which should not be
too big as you can run that at up to 1.5T flux density.
Regulation could be a normal type of regulator set for constant current.
Always many choices in Engineering
Cheers, Ed
Ed Dinning Retired Engineer"
/Martin