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參數(shù)資料
| 型號： | LTC4000IUFD#PBF |
| 廠商： | LINEAR TECHNOLOGY CORP |
| 元件分類： | 電源管理 |
| 英文描述： | 1-CHANNEL POWER SUPPLY MANAGEMENT CKT, PQCC28 |
| 封裝： | 4 X 5 MM, LEAD FREE, PLASTIC, MO-220WXXX-X, QFN-28 |
| 文件頁數(shù)： | 25/40頁 |
| 文件大?。?/td> | 428K |
| 代理商： | LTC4000IUFD#PBF |
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LTC4000
31
4000f
applicaTions inForMaTion
APPENDIX—THE LOOP TRANSFER FUNCTIONS
When a series resistor (RC) and capacitor (CC) is used
as the compensation network as shown in Figure 11, the
transfer function from the input of A4-A7 to the ITH pin
is simply as follows:
VITH
VFB
(s) = gm4-7
RC –
1
gm10
CCs + 1
RO4-7 CCs
where gm4-7isthetransconductanceoferroramplifierA4-
A7, typically 0.5mA/V; gm10 is the output amplifier (A10)
transconductance, RO4-7 is the output impedance of the
error amplifier, typically 50mΩ; and RO10 is the effective
output impedance of the output amplifier, typically 10mΩ
with the ITH pin open circuit.
Note this simplification is valid when gm10 RO10 RO4-7
CC = AV10 RO4-7 CC is much larger than any other
poles or zeroes in the system. Typically AV10 RO4-7 = 5
1010 with the ITH pin open circuit. The exact value of gm10
and RO10 depends on the pull-up current and impedance
connected to the ITH pin respectively.
In most applications, compensation of the loops involves
picking the right values of RC and CC. Aside from picking
the values of RC and CC, the value of gm10 may also be
adjusted. The value of gm10 can be adjusted higher by
increasing the pull-up current into the ITH pin and its
value can be approximated as:
gm10 =
IITH + 5A
50mV
The higher the value of gm10, the smaller the lower limit
of the value of RC would be. This lower limit is to prevent
the presence of the right half plane zero.
Even though all the loops share this transfer function from
the error amplifier input to the ITH pin, each of the loops
has a slightly different dynamic due to differences in the
feedback signal path.
The Input Current Regulation Loop
The feedback signal for the input current regulation loop
is the sense voltage across the input current sense resis-
tor (RIS).
This voltage is amplified by a factor of 20 and compared
to the voltage on the IL pin by the transconductance er-
ror amplifier (A4). This amplifier then drives the output
transconductance amplifier (A10) to appropriately adjust
the voltage on the ITH pin driving the external DC/DC
converter to regulate the input current across the sense
resistor (RIS). This loop is shown in detail in Figure 20.
The simplified loop transmission is:
LIC(s) = gm4
RC –
1
gm10
CCs + 1
CCs
20RIS R2CIIMONs+1
(
)
R1+R2
(
)CIIMONs+1
Gmip(s)
where Gmip(s) is the transfer function from VITH to the
input current of the external DC/DC converter.
Figure 20. Simplified Linear Model of the Input Current
Regulation Loop
IN
CC
1V
A8
gm8 = 0.33m
A4
gm4 = 0.5m
A10
gm10 = 0.1m
ITH
LTC4000
IN
CLN
RIS
IIN
IIMON
IL
CIIMON
CIN
+
–
+
–
CC
4000 F20
RC
R1
60k
RO4
RO10
RIL
R2
20k
50A
BIAS
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