Hi,
We always see LC output filter in SMPS being analysed with their connection as in fig 22, page 12 of the following..
Practical design considerations.....Dr Choihttps://www.google.co.uk/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&cad=rja&uact=8&ved=2ahUKEwjtlfe7wq-AAxVCVkEAHYuMA94QFnoECBgQAQ&url=https%3A%2F%2Fwww.researchgate.net%2Fprofile%2FMohamed-Mourad-Lafifi%2Fpost%2FHello_it_is_a_power_system_stabilizer_How_to_calculate_the_gain_margin_in_the_bode_plot_if_the_phase_is_always_above_the_0_degree%2Fattachment%2F59d635f479197b80779936c8%2FAS%253A386285110874112%25401469108955496%2Fdownload%2FPractical-Feedback-Loop-Design-Considerations-for-Switched-Mode-Power-Supplies.pdf&usg=AOvVaw1nV06ZJ6OWyxExmMFKNo_H&opi=89978449...ie, the TL431 feedback "straddles" the output filter inductor.
However, most applications do not have the typical TL431 feedback connection , ,and simply use an opamp error amp feeding off a bias voltage, and they only have one connection to the vout for feedback purposes.
So why dont we see that case investigated more....?
In fact, that case is seen here on page 10 of the above link.....it simply means multiplying the initial power stage transfer function by the extra factor shown there that depicts the output LC filter.
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The typical TL431 feedback connection involves two connections to vout.....and this makes the feedback compensation more awkward to do.....the following TND381 on page 36 shows why the "fast lane/slow lane" approach of the typical TL431 connection is disavantageous. The fact is that the "dual vout conenction" means that you end up on a limit to the available gain settings...as page 36 says.
TND381
https://www.onsemi.com/pub/Collateral/TND381-D.PDFPages 45 and 46 of TND381 show more woes of the "dual vout conenction"....here you see the problem that the RLED resistor unfortunately ends up playing a role both in fixing the gain , and fixing a zero position........page 46 shows this being solved by the ridding of the "dual vout connection".
So why are all texts obsessed with the "fast lane / slow lane" connection of the TL431?
As discussed, page 10 of the top link from Prof Choi shows the factor that one simply needs to multiply with whichever power stage transfer function is being worked with.
Page 12 of the Choi document actually says QUOTE>>This configuration is very effective in increasing the phase margin when the crossover frequency is close to the double pole of post LC filter.<<UNQUOTE
However, no other author lists this as an advantage of the "fast lane/slow lane" approach...not even Basso in his books......maybe Basso feels that he said enough to imply it...but who knows.