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AN4116 데이터시트(PDF) 24 Page - STMicroelectronics

부품명 AN4116
상세설명  This document describes a 12 V-350 mA power supply
PDF  38 Pages
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제조업체  STMICROELECTRONICS [STMicroelectronics]
홈페이지  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN4116 데이터시트(HTML) 24 Page - STMicroelectronics

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Feedback loop calculation guidelines
AN4116
24/38
Doc ID 023220 Rev 1
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 fp is the pole due to the output load and fz 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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