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The LP38511-ADJ datasheet fully describes the process for determining an appropriate value for Cff for the LP38511-ADJ. The datasheet also offers a table of suggested values for R1, R2, and Cff for a range of output voltages.
" ... Cff make Fz to between 20kHz ~ 40kHz ... "
You need to know your R1 value used to set the output voltage, then use the formula from the datasheet
Cff = 1 / (2 x π x R1 x fz) , where fz is 30kHz
or,
Calculate for the minimum and maximum Cff values at fz=40kHz and fz=20kHz, then select a capacitor value in-between the calculated min/max values.
The 20kHz to 40kHz takes into account the variations in UG crossover due the operating Vout range, the output current range, and a 10uF ceramic for Cout.
In general, the UG crossover will be in the 75kHz to 150kHz range.
There is no model, or circuitry, available for the LP38511-ADJ control loop.
Component selection and standard component values will make it unlikely to get a set of components that will calculate out to an fz of exactly 30.00 kHz.
As a result, there is a range of acceptable values available. The intention of having a 'window' was to make Cff selection easier, not more difficult.
There is only marginal difference in dynamic performance between fz= 20 kHz and fz= 40 kHz.. This results in a stable, but slightly under-damped, control loop.
Setting fz lower than the recommend range will provide a stable, but possibly over-damped, control loop.
To calculate the proper Cff, the value for R1 (the resistor between the OUT pin and the ADJ pin) must be known first.
Please forward to me the R1 (and R2) values used for the six voltage options listed, and I will calculate the proper Cff per the formula given in the datasheet (#5, page 10)