Pages 47-51 of the Ridley book “power supply design, volume 1:control” states how poles and zeros should be placed in voltage mode flybacks.
The book states that the phase boost of a type 3 compensator is needed to offset the sharp phase drop that occurs after the resonant frequency of the power stage. –consequently the compensator zeros are placed closely around the power stage resonant frequency.
In fact page 48 shows graphs of Voltage mode flyback power stage, as well as the type 3 compensator gain, and the overall resultant loop gain……it does appear from looking at that diagram, that indeed the placement of compensator poles and zeros “must be” done in a specific way in order that the compensator plot and the power stage plot add together to form the overall loop plot effectively.
Im looking right at this diagram now, on page 48, and I really don’t see any better way of compensating that power stage……I can well see that the crossover frequency “should best be” at least twice the resonant frequency.
Looking at the diagram , I’d say that it would be particularly unwise to put the crossover frequency “at” the LC resonant frequency.
The best way forward is, as the book says…
First pole of compensator at origin
Compensator zeros placed around the LC resonant frequency
Second pole of compensator at esr zero freq
3rd pole of compensator at rhpz freq
The graph shows the power stage gain plummeting at –40db/dec after the LC freq…..clearly the compensator poles need to be placed closely around the LC freq so that the overall loop gain can be picked up.
Ridley states that for some converters, the rhpz is at such a low freq that it is not possible to cross the loop over above the resonant freq, and the converter cannot be properly controlled…this issue is fixed, he says, by doing current mode control instead.