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AN4165 Datasheet(PDF) 25 Page - STMicroelectronics

Part # AN4165
Description  This document describes a 12 V - 1 A power supply set in non-isolated flyback topology
PDF  37 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN4165 Datasheet(HTML) 25 Page - STMicroelectronics

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AN4165
Feedback loop calculation guidelines
Doc ID 023661 Rev 1
25/37
The mathematical expression of the compensator C(f) is:
Equation 5
where (with reference to the schematic of
Figure 2):
Equation 6
Equation 7
Equation 8
are to be chosen with the purpose to ensure the stability of the overall system. Gm = 2 mA/V
(typical) is the VIPER26 transconductance.
11.2
Compensation procedure
The first step is to choose the pole and zero of the compensator and the crossover
frequency, for instance:
●
fZc = fp/2
●
fPc = fz
●
fcross = fcross_sel
≤fsw/10.
G1(fcross_sel) can be calculated from
Equation 2 and, being by definition
| C(fcross_sel)*G1(fcross_sel)| = 1, C0 can be calculated as follows:
Equation 9
()
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛⋅
+
⋅
⋅
⋅
⋅
⋅
+
⋅
=
Δ
Δ
=
fPc
j
f
j
f
fZc
j
f
H
C
V
I
f
C
COMP
1
2
1
0
OUT
pk
π
4
3
4
8
7
0
R
R
R
C
C
Gm
C
+
⋅
+
−
=
7
7
2
1
C
R
fZc
⋅
⋅
⋅
=
π
8
7
7
2
8
7
C
C
R
C
C
fPc
⋅
⋅
⋅
⋅
+
=
π
)
_
(
1
_
1
_
1
_
2
0
sel
fcross
G
H
fZc
j
sel
fcross
fPc
j
sel
fcross
j
sel
fcross
C
COMP
⋅
⋅
+
⋅
+
⋅
⋅
⋅
⋅
=
π



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