Basic core design require your frequency, relative permiability and you got area product. Then select the core with that area product. (Ref: Fairchild Application Note 4140 at Fairchild Semiconductor | Power Management & Mobile IP Solutions).
However a basic crude table followed by the designers and here is that. They all consider the operating frequency at 50-150KHz.
0-10Watt ==> EE8,EE10,EE13,EE16,EPC10,EPC17 etc
10-20Watt ==>EE19,EPC19
20-30 Watt==> EE22,EPC25, EER25.5
30-50 Watt==> EE25,EPC30, EER28
50-70 Watt ==>EE30,EER28L
70-100 Watt==>EE35,EER35
100-150Watt==>EE40,EER40,EER42
150-200Watt==>EE50,EE60,EER49
200-400 Watt==>EER50,EER53,EER54
For, LLC Half bridge converter, you may check AN2450 of the same site. As your frequency is low, you get Large area product. Then adjust Air Gap, Measure Inductance and then Capacitance. Hope you can get something from this.
Thanks
And I guess, it's not running faster than 30, maximum 50 kHz. So at 100 kHz you can achieve even higher power.My 400W PC power supply uses an ERL35.
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