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LM5145 데이터시트(PDF) 32 Page - Texas Instruments

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부품명 LM5145
상세설명  LM5145-Q1 Automotive 75-V Synchronous Buck DC/DC Controller With Wide Duty Cycle Range
PDF  62 Pages
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LM5145 데이터시트(HTML) 32 Page - Texas Instruments

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If the pole located at ωp1 cancels the zero located at ωESR and the pole at ωp2 is located well above crossover,
the expression for the loop gain, Tv(s) in Table 9-3, can be manipulated to yield the simplified expression given in
Equation 14.
2
IN
v
C1
C3
RAMP
V
T (s)
R
C
V
s
Z
˜
˜
˜
o
(14)
Essentially, a multi-order system is reduced to a single-order approximation by judicious choice of compensator
components. A simple solution for the crossover frequency (denoted as fc in Figure 9-2) with Type-III voltage-
mode compensation is derived as shown in Equation 15 and Equation 16.
IN
c
o
mid
RAMP
V
2
f
K
V
Z
S
Z
˜
˜
˜
c
(15)
c
C1
mid
o
FF
FB1
f
R
1
K
f
k
R
˜
(16)
-40
-20
0
20
40
1
10
100
1000
Frequency (kHz)
Gain
(dB)
fc
Loop Gain
Filter Gain
Modulator
Gain
Compensator
Gain
Figure 9-3. Buck Regulator Constituent Gain Components
The loop crossover frequency is usually selected between one-tenth to one-fifth of switching frequency. Inserting
an appropriate crossover frequency into Equation 16 gives a target for the mid-band gain of the compensator,
Kmid. Given an initial value for RFB1, RFB2 is then selected based on the desired output voltage. Values for RC1,
RC2, CC1, CC2, and CC3 are calculated from the design expressions listed in Table 9-4, with the premise that the
compensator poles and zeros are set as follows: ωz1 = 0.5·ωo, ωz2 = ωo, ωp1 = ωSW/2, and ωp2 = ωESR.
Table 9-4. Compensation Component Selection
RESISTORS
CAPACITORS
FB1
FB2
OUT
REF
R
R
V
V
1
Z
˜
C1
z1
C1
1
C
R
C1
mid
FB1
R
K
R
˜
Z
˜
C2
p1
C1
1
C
R
Z
˜
C2
p2
C3
1
R
C
1
C3
z2
FB1
C
R
Z
˜
LM5145-Q1
SNVSBU9 – JUNE 2021
www.ti.com
32
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