Application informations
L5983
The guidelines for positioning the poles and the zeroes and for calculating the component
values can be summarized as follow:
1. Choose a value for R1, usually between 1k and 5k.
2. Choose a gain (R4/R1) in order to have the required bandwidth (BW), that means:
Equation 18
R4
=
B-----W----
fLC
⋅
-1--
K
⋅
R1
where K is the feed forward constant and 1/K is equals to 9.
3. Calculate C4 by placing the zero at 50% of the output filter double pole frequency (fLC):
Equation 19
C4
=
-------------1--------------
π ⋅ R4 ⋅ fLC
4. Calculate C5 by placing the second pole at four times the system bandwidth (BW):
Equation 20
C5
=
----------------------------C-----4----------------------------
2π ⋅ R4 ⋅ C4 ⋅ 4 ⋅ BW – 1
5. Set also the first pole at four times the system bandwidth and also the second zero at
the output filter double pole:
Equation 21
R3
=
-----------R----1----------- ,
4-----⋅---B-----W---- – 1
fLC
C3
=
-------------------1---------------------
2π ⋅ R3 ⋅ 4 ⋅ BW
The suggested maximum system bandwidth is equals to the switching frequency divided by
3.5 (FSW/3.5), anyway lower than 100kHz if the FSW is set higher than 500kHz.
For example with VOUT=3.3V, VIN=12V, IO=1.5A, L=22µH, COUT=22µF, the type III
compensation network is:
R1 = 4.99kΩ, R2 = 1.1kΩ, R3 = 120Ω, R4 = 4.99kΩ, C3 = 4.7nF, C4 = 10nF, C5 = 68pF
In Figure 12 is shown the module and phase of the open loop gain. The bandwidth is about
77kHz and the phase margin is 47°.
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