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UCC28180: clarifications about the M3 gain and on the signals transfers

Part Number: UCC28180

Hello

I recall this old discussion for which no answer was given regarding the nonlinear gain parameter M3 introduced and calculated in the datasheet.
Its origin is particularly mysterious: I would like to point out two critical points:

The piecewise interpolant function reported in datasheet (latest review D)  / application notes seems to be totally wrong.

See following pictures:

The plotted PW Function M3(V_COMP)

I would not agree at all with the transfer function reported in datasheet.

This point is the most important one. Unfortunately, to clarify my question, I'll have to go into a brief mathematical discussion of the PFC. Since is not an easy task to accomplish by writing in plain text, I've prepared a PDF document...I'd appreciate it if you could take a look at it.

2870.TI_ucc28180.pdf

Thank you in advance.

Simone