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AN937 Datasheet, PDF (24/29 Pages) STMicroelectronics – The L4971 is a 1.5 A monolithic dc-dc converter
Typical application
AN937
Fp1
=
----------------1-----------------
2 ⋅ π ⋅ Ro ⋅ Cc
=
--------------------------------1---------------------------------
2 ⋅ π ⋅ 1.2 ⋅ 106 ⋅ 22 ⋅ 10–9
=
6.029Hz
Fp2
=
----------------1-----------------
2 ⋅ π ⋅ Rc ⋅ Co
=
--------------------------------1---------------------------------
2 ⋅ π ⋅ 15 ⋅ 103 ⋅ 82 ⋅ 10–12
=
125KHz
FoLN
=
----------------1-----------------
2 ⋅ π ⋅ R2 ⋅ C9
=
---------------------------------1---------------------------------
2 ⋅ π ⋅ 2.7 ⋅ 103 ⋅ 4.7 ⋅ 10–9
=
12KHz
FpLN
=
-----------------------1------------------------
2
⋅
π
⋅
-R-----2----⋅---R-----3--
R2 + R3
⋅
C9
=
----------------------------------1------------------------------------
2 ⋅ π ⋅ 1.75 ⋅ 103 ⋅ 4.7 ⋅ 10–9
=
19KHz
Using a compensation network with R4= 15 kΩ, C4 = 22 nF and C5 = 82 pF, the gain and
Phase Bode plots are shown in Fig. 31-32. The cut-off frequency and the phase margin are:
VOUT = 3.3V
VOUT = 5V
VOUT = 12V
VOUT = 15V
VOUT = 18V
VOUT = 24V
Fc = 36KHz
Fc = 34KHz
Fc = 18KHz
Fc = 14KHz
Fc = 11KHz
Fc = 8.6KHz
Phase margin = 62°
Phase margin = 70°
Phase margin = 92°
Phase margin = 88°
Phase margin = 83°
Phase margin = 74°
Figure 29. Gain Bode plot open loop
90
79
68
57
46
35
24
13
2
9
20
0.1
1
Vout=3.3V
Vout=5V
Vout=12V
Vout=15V
Vout=18V
Vout=24V
0 dB
10
100
1 .103
1 .104
1 .105
1 .106
Frequency [Hz]
24/29
Doc ID 5655 Rev 15