LM76005: Design suggestion of inductor for LM76005

Hi Team,

May I have your help to suggest the proper spec. of inductor for customer LM76005 design.

The input is 48V and output is 24V/4.5A, switching freq. is around 400KHz.

As customer design now(not up to 4.5A output), the inductor temp. is 51 degree C in no loading attached.

and the output and PWM waveform.

If the loading is attached, the temp will be up to more than 80 degree C.

They need suggestions for the inductor selec for 4.5A design and the temp cannot too high while working.

Please help.

Thanks.