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AN3028 Datasheet(PDF) 25 Page - STMicroelectronics

Part # AN3028
Description  demonstration board using the VIPer16LN
PDF  37 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN3028 Datasheet(HTML) 25 Page - STMicroelectronics

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AN3028
Guidelines for feedback loop calculation
Doc ID 16135 Rev 1
25/37
8
Guidelines for feedback loop calculation
8.1
Transfer function
The set PWM modulator + power stage is referred to as the “power plant” and is indicated by
G1(f), while C(f) is the “controller”, i.e. the network which is in charge of ensuring the stability
of the system.
Figure 28.
Control loop block diagram
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
)
fp
f
j
(1
)
Vdc
,
fsw
(
Ipkp
)
fz
f
j
(1
Vo
)
p
f
2
j
(1
)
Vdc
,
fsw
(
Ipkp
)
z
f
2
j
(1
Vo
=
I
V
(f)
pk
O
1
⋅
+
⋅
⋅
+
⋅
=
⋅
π
⋅
⋅
+
⋅
⋅
π
⋅
⋅
+
⋅
Δ
Δ
=
G
2ESR)
+
·(R
C
1
fp
OUT
OUT
⋅
π
=
·ESR
C
2
1
fz
OUT
⋅
π
⋅
=



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