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MCR03EZPFX1002 데이터시트(PDF) 25 Page - International Rectifier

부품명 MCR03EZPFX1002
상세설명  HIGHLY INTEGRATED 14A SINGLE-INPUT VOLTAGE, SYNCHRONOUS BUCK REGULATOR
PDF  36 Pages
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제조업체  IRF [International Rectifier]
홈페이지  http://www.irf.com
Logo IRF - International Rectifier

MCR03EZPFX1002 데이터시트(HTML) 25 Page - International Rectifier

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25
IR3837MPbF
Rev 1.31
Again, the transfer function is given by:
By replacing Z
in and Zf according to figure 20,
the transfer function can be expressed as:
The compensation network has three poles and
two zeros and they are expressed as follows:
Cross over frequency is expressed as:
Based on the frequency of the zero generated by
the output capacitor and its ESR, relative to
crossover frequency, the compensation type can
be different. Table 3 shows the compensation
types for relative locations of the crossover
frequency.
(31)
..........
.....(30)
..........
..........
..........
..........
(29)
.....
..........
)
.......(28
..........
..........
..........
..........
......(27)
..........
..........
..........
..........
..........
..........
8
7
10
8
7
2
4
3
1
3
3
3
4
3
4
3
3
7
10
2
1
2
1
2
1
2
1
2
1
2
1
2
1
0
R
*
C
*
π
)
R
R
(
*
C
*
π
F
C
*
R
*
π
F
C
*
R
*
π
C
C
C
*
C
R
*
π
F
C
*
R
*
π
F
F
Z
Z
P
P
P


(32)
..
..........
..........
..........
o
o
osc
in
o
C
*
L
*
π
*
V
V
*
C
*
R
F
2
1
7
3
The higher the crossover frequency is, the
potentially faster the load transient response will
be. However, the crossover frequency should be
low enough to allow attenuation of switching
noise. Typically, the control loop bandwidth or
crossover frequency (F
o) is selected such that
The DC gain should be large enough to provide
high DC-regulation accuracy. The phase margin
should be greater than 45o for overall stability.
For this design we have:
V
in=12V
V
o=1.8V
V
osc=1.8V
V
ref=0.6V
L
o=0.51uH
C
o=7x47uF, ESR≈3mΩ each
It must be noted here that the value of the
capacitance used in the compensator design
must be the small signal value. For instance, the
small signal capacitance of the 47uF capacitor
used in this design is 26uF at 1.8 V DC bias and
600 kHz frequency. It is this value that must be
used for all computations related to the
compensation. The small signal value may be
obtained from the manufacturer’s datasheets,
design tools or SPICE models. Alternatively, they
may also be inferred from measuring the power
stage transfer function of the converter and
measuring the double pole frequency F
LC and
using equation (16) to compute the small signal
C
o.
These result to:
F
LC=16.5 kHz
F
ESR=2.04 MHz
F
s/2=300 kHz
s
o
F
F
*
1/10
~
1/5
Table 3. Different types of compensators
Compensator
Type
F ESR vs F 0
Typical Output
Capacitor
Type II
F LC < F ESR < F 0 < F S /2
Electrolytic
Type III
F LC < F 0 < F ESR
SP-Cap, Ceramic
IN
f
out
e
Z
Z
)
s
(
H
V
V


(26)
....
)
C
sR
(
C
C
C
*
C
sR
)
C
C
(
sR
R
R
sC
)
C
sR
(
)
s
(
H
7
10
3
4
3
4
3
3
4
8
10
8
7
4
3
1
1
1
1





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