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LM5145 데이터시트(PDF) 39 Page - Texas Instruments

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부품명 LM5145
상세설명  LM25143 3.5-V to 42-V Dual Synchronous Buck DC/DC Controller With Ultra-Low IQ
PDF  69 Pages
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제조업체  TI [Texas Instruments]
홈페이지  http://www.ti.com
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LM5145 데이터시트(HTML) 39 Page - Texas Instruments

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10.1.2 Error Amplifier and Compensation
Figure 10-3 shows a Type-II compensator using a transconductance error amplifier (EA). The dominant pole of
the EA open-loop gain is set by the EA output resistance, RO-EA, and effective bandwidth-limiting capacitance,
CBW, as shown in Equation 28.
O-EA
EA(openloop)
O-EA
BW
g
R
G
(s)
1 s R
C
˜
˜
˜
m
(28)
The EA high-frequency pole is neglected in Equation 28. The compensator transfer function from output voltage
to COMP node, including the gain contribution from the (internal or external) feedback resistor network, is
calculated in Equation 29.
m
O-EA
1
c
REF
c
out
OUT
p1
p2
s
g
R
1
Öv (s)
V
G (s)
Öv
(s)
V
s
s
1
1
Z
Z
Z
§
·
˜
˜ ¨
¸
©
¹
˜
§
· §
·
˜
¨
¸ ¨
¸
¨
¸ ¨
¸
©
¹ ©
¹
z
(29)
where
• VREF is the feedback voltage reference of 0.6 V.
• gm is the EA gain transconductance of 1200 µS.
• RO-EA is the error amplifier output impedance of 64 MΩ.
Z1
COMP
COMP
1
R
C
Z
˜
(30)
p1
O-EA
COMP
HF
BW
O-EA
COMP
1
1
R
C
C
C
R
C
Z
#
˜
˜
(31)
p2
COMP
HF
COMP
COMP
HF
BW
1
1
R
C
R
C
C
C
Z
#
˜
˜
(32)
The EA compensation components create a pole close to the origin, a zero, and a high-frequency pole. Typically,
RCOMP << RO-EA and CCOMP >> CBW and CHF, so the approximations are valid.
Error amplifier model
VREF
COMP
FB
CHF
CBW
RO-EA
–
+
z1
p2
p1
RFB1
VOUT
gm
RFB2
CCOMP
RCOMP
AGND
Figure 10-3. Error Amplifier and Compensation Network
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LM25143
SNVSC10 – MARCH 2022
Copyright © 2022 Texas Instruments Incorporated
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