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LM5156H: Flyback Transformer for 12v@4.5A

Part Number: LM5156H
Other Parts Discussed in Thread: TIDA-050023, LM51551-Q1

Hello, 

I try to design a PoE++ converter with 12v@4.5A (54W) output. I want to use TPS2372-4 and LM5156H for that (similar to reference design TIDA-050023). 

I followed the design guide of SNVA866 which is intended for CCM - if I understood that right.

Unfortunately all transformers that I can find have primary inductance of 15-20µH and I would have to increase the frequency over 550kHz to get a ripple current of 60%.

I'm not sure if frequencies above 550kHz are acceptable for flyback converters because in all reference designs that I found they typically use frequencies in range of 200-350kHz.

Is there a rule of thumb regarding the switching frequency of flyback converters? Or is the switching frequency only limited by the core losses of the transformers?

Even when I would use the transformer 750317065 of the reference design TIDA-050023, which has a primary inductance of 30µH, I would have to increase the frequency to round about 460kHz.

I recognized that the flyback converter of TIDA-050023 only uses a frequency of 313kHz (R_T = 71.5Ohm). Does the reference design work in DCM instead of CCM? If so do you have design guide for DCM? 

Best regards

Janis