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ADP3188 Datasheet(PDF) 21 Page - Analog Devices

No. de pieza ADP3188
Descripción Electrónicos  6-Bit Programmable 2-/3-/4-Phase Synchronous Buck Controller
PDF  28 Pages
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Fabricante Electrónico  AD [Analog Devices]
Página de inicio  http://www.analog.com
Logo AD - Analog Devices

ADP3188 Datasheet(HTML) 21 Page - Analog Devices

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ADP3188
Rev. A | Page 21 of 28
A type-three compensator on the voltage feedback is adequate
for proper compensation of the output filter. Equations 25 to 29
yield an optimal starting point for the design; some adjustments
may be necessary to account for PCB and component parasitic
effects (see the section).
The first step is to compute the time constants for all of the
poles and zeros in the system
(
)
VID
O
X
RT
VID
RT
L
DS
D
O
E
V
R
C
n
V
D
n
L
V
V
R
R
A
R
n
R
×
×
×
×
×
−
×
×
+
×
+
×
+
×
=
1
2
(
)
Ω
m
24.2
V
1.3
Ω
m
1
mF
4.45
4
V
0.49
0.432
1
nH
320
2
V
1.3
V
0.49
Ω
m
1.4
Ω
m
2.4
5
Ω
m
1
4
=
×
×
×
×
−
×
×
+
×
+
×
+
×
=
E
R
(25)
()
()
µs
2.50
Ω
m
10.63
Ω
m
0.65
Ω
m
1
Ω
m
1
pH
350
Ω
m
0.5
Ω
m
1
mF
4.45
=
−
×
+
−
×
=
′
−
×
+
′
−
×
=
X
O
O
X
O
X
A
R
R
R
R
L
R
R
C
T
(26)
()
(
)
ns
580
mF
4.45
Ω
m
1
Ω
m
0.5
Ω
m
0.63
=
×
−
+
=
×
−
′
+
=
X
O
X
B
C
R
R
R
T
(27)
µs
4.7
Ω
m
24.2
V
1.3
kHz
330
2
Ω
m
2.4
5
nH
320
V
0.49
2
=
×
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
×
×
−
×
=
×
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛
×
×
−
×
=
E
VID
SW
DS
D
RT
C
R
V
f
R
A
L
V
T
(28)
()
(
)
()
ns
333
Ω
m
1
µF
180
Ω
m
0.5
Ω
m
1
mF
4.45
Ω
m
1
µF
180
mF
4.45
'
2
2
=
×
+
−
×
×
×
=
×
+
−
×
×
×
=
O
Z
O
X
O
Z
X
D
R
C
R
R
C
R
C
C
T
(29)
where, for the ADP3188, R' is the PCB resistance from the
bulk capacitors to the ceramics and where RDS is the total low-
side MOSFET on resistance per phase. In this example, AD is 5,
VRT equals 0.49 V, R' is approximately 0.5 mΩ (assuming a
4-layer, 1 ounce motherboard), and LX is 350 pH for the eight
Al-Poly capacitors.
The compensation values can then be solved using the following:
pF
342
Ω
k
1.21
Ω
m
24.2
µs
2.50
Ω
m
1
4
=
×
×
×
=
×
×
×
=
CA
R
R
T
R
n
C
B
E
A
O
A
(30)
Ω
k
13.7
pF
342
µs
4.7
=
=
=
A
C
A
C
T
R
(31)
nF
479
Ω
k
1.21
ns
580
=
=
=
B
B
B
R
T
C
(32)
F
p
24.3
Ω
k
13.7
ns
333
=
=
=
A
D
FB
R
T
C
(33)
These are the starting values, prior to tuning the design, to
account for layout and other parasitic effects (see the section).
The final values selected after tuning are
pF
22
pF
470
Ω
k
1
.
12
pF
470
=
=
=
=
FB
B
A
A
C
C
R
C



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