參數(shù)資料
型號: ISL6253HRZ
廠商: INTERSIL CORP
元件分類: 電源管理
英文描述: Highly Integrated Battery Charger for Notebook Computers
中文描述: 1-CHANNEL POWER SUPPLY SUPPORT CKT, PQCC28
封裝: 5 X 5 MM, LEAD-FREE, PLASTIC, MO-220VHHD-1, QFN-28
文件頁數(shù): 18/22頁
文件大?。?/td> 549K
代理商: ISL6253HRZ
18
PWM Comparator Gain F
m
The PWM comparator gain Fm for peak current mode
control is given by:
where V
PWM
is the peak-peak voltage of the PWM ramp
signal.
Current Sampling Transfer Function H
e
(S)
In current loop, the current signal is sampled every switching
cycle. It has the following transfer function:
where Q
n
and
ω
n
are given by
respectively
.
,
Power Stage Transfer Functions
Transfer function F
1
(S) from control to output voltage is:
2
o
p
Where
Transfer function F
2
(S) from control to inductor current is,
2
o
p
Current loop gain T
i
(S) is expressed as the following
equation:
where R
T
is the trans-resistance in current loop. R
T
is
usually equal to the product of the current sensing resistance
of the current amplifier. For ISL6253, R
T
= 24R
1
.
The voltage gain with open current loop is:
where
, V
FB
is the feedback voltage of the voltage
error amplifier.
The Voltage loop gain with current loop closed is given by:
If T
i
(S)>>1, then the above equation can be simplified as
follows:
Where RTV is the trans-resistance due to the current
information fed into the voltage loop. From the above
equation, it is shown that the system is a single order
system, which has a single pole located at
half switching frequency. Therefore, a simple type II
compensator can be easily used to stabilize the system.
before the
Figure 20 shows the type II compensator, and its transfer
function is expressed as follows:
F
m
v
comp
V
PWM
-----------------
=
=
(EQ. 18)
H
e
S
( )
2
------
ω
n
2
n
n
--------------
1
+
+
=
(EQ. 19)
Q
n
2
π
--
=
ω
n
π
f
s
=
,
F
1
S
( )
v
o
d
--
V
in
1
-----------
+
ω
o
------
--------------
1
+
+
--------------------------------------
=
=
(EQ. 20)
ω
esr
R
c
C
o
--------------
=
Q
p
R
o
C
o
L
------
ω
o
LC
o
--------------
=
,
,
F
2
S
( )
i
o
d
-
V
o
R
L
---------+
1
------
+
ω
o
------
--------------
1
+
+
--------------------------------------
where
=
=
ω
z
o
o
--------------
(EQ. 21)
T
i
S
( )
R
T
F
m
F
2
=
S
( )
H
e
S
( )
(EQ. 22)
T
v
S
( )
KF
m
F
1
S
V
V
o
( )
A
v
S
( )
=
(EQ. 23)
K
----------
=
L
v
S
( )
T
S
T
i
S
+
1
-----------------------
=
(EQ. 24)
L
v
S
( )
V
o
----------
R
R
L
+
TV
--------------------
1
---------------------
A
S
p
-----------
+
1
------
+
( )
e
S
----------------
ω
p
o
o
--------------
,
=
(EQ. 25)
p
ω
FIGURE 19. SMALL SIGNAL MODEL OF SYNCHRONOUS
BUCK REGULATOR
i
in
1:D
-Av(S)
He(S)
^
v
in
^
I
L
d
d
Fm
+
V
comp
^
T
v
(S)
K
T
i
(S)
+
i
L
^
L
R
T
Rc
Ro
Co
V
o
^
V
in
d^
+
-
+
R1
C1
V
REF
V
FB
Vo
g
m
V
COMP
C2
FIGURE 20. TYPE II COMPENSATOR
ISL6253
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