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AN4164 Folha de dados(PDF) 23 Page - STMicroelectronics

Nome de Peças AN4164
Descrição Electrónicos  This document describes a 12 V-350 mA power supply set in non-isolated flyback topology
PDF  38 Pages
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Fabricante Electrônico  STMICROELECTRONICS [STMicroelectronics]
Página de início  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN4164 Folha de dados(HTML) 23 Page - STMicroelectronics

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AN4164
Feedback loop calculation guidelines
Doc ID 023660 Rev 1
23/38
7
Feedback loop calculation guidelines
7.1
Transfer function
The set PWM modulator + power stage is indicated with G1(f), while C(f) is the “controller”,
i.e. the network which is in charge to ensure the stability of the system.
The mathematical expression of the power plant G1(f) is the following:
Equation 2
where VOUT is the output voltage, Ipkp is the primary peak current, fp is the frequency of the
pole due to the output load and fz the frequency of the zero due to the ESR of the output
capacitor:
Equation 3
Equation 4
Figure 38.
Control loop block diagram
AM11582v1
)
fp
j
(1
)
,
(
)
fz
(1
V
)
p
2
j
(1
)
,
(
)
z
2
(1
V
=
I
V
(f)
G
OUT
OUT
pk
OUT
1
f
Vdc
fsw
Ipkp
f
j
f
Vdc
fsw
Ipkp
f
j
⋅
+
⋅
⋅
+
⋅
=
⋅
⋅
⋅
+
⋅
⋅
⋅
⋅
+
⋅
Δ
Δ
=
π
π
2ESR)
+
·(R
C
1
fp
OUT
OUT
⋅
=
π
·ESR
C
2
1
fz
OUT
⋅
⋅
=
π



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