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LTC4000_15 Datasheet, PDF (32/40 Pages) Linear Technology – High Voltage High Current Controller for Battery Charging and Power Management
LTC4000
Applications Information
In Figure 22 the battery is approximated to be a signal
ground in series with the internal battery resistance RBAT.
Therefore, the simplified loop transmission is as follows:
LBV
(s)
=
gm6







RC
–
1
gm10 
CCs
CCs
+
1



•





RBFB2
RBFB



•

 RLB
RLB
• CLs
+

1
•
Gmop(s)
where Gmop(s) is the transfer function from VITH to
the output current of the external DC/DC converter,
RBFB = RBFB1 + RBFB2, and RLB = RL//(RDS(ON) + RCS +
RBAT) represents the effective output resistance from the
LOAD node to GND.
The Battery Charge Current Regulation Loop
This final regulation loop combines certain dynamic char-
acteristics that are found in all the other three loops. The
feedback signal for this charge current regulation loop is
the sense voltage across the charge current sense resis-
tor (RCS). This voltage is amplified by a factor of 20 and
compared to the voltage on the CL pin by the transcon-
ductance error amplifier (A5). In a familiar fashion, this
amplifier 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 (RCS).
Due to the presence of the instant-on feature, description
of the charge current regulation loop has to be divided into
two separate operating regions. These regions of operation
depend on whether the voltage on the OFB pin is higher
or lower than the instant-on threshold (VOUT(INST_ON)).
The Battery Charge Current Regulation Loop when
VOFB > VOUT(INST_ON)
In this operating region, the external charging PFET’s gate
is driven low and clamped at VBGATE(ON). The detail of this
loop is shown in Figure 23.
The simplified loop transmission is:
LCC(s)
=
gm5







RC
–
1
gm10 
CCs
CCs
+

1



•


( ) 20RCS
•



R2
(R1+
• CIBMONs + 1
R2)CIBMONs +

1
•
RL
Rf + RL
•



(RL
P
1
Rf )CLs
+

1
•
Gmop(s)
where Gmop(s) is the transfer function from VITH to the
output current of the external DC/DC converter, Rf =
RCS + RDS(ON) + RBAT, and RL//Rf represents the effective
resistance value resulting from the parallel combination
of RL and Rf.
RC CC
RO10
ITH
CC
A10
gm10 = 0.1m
LTC4000
INPUT
+
Gmop(s)
–
RO5
A5
gm5 = 0.5m
A8
gm8 = 0.33m CSP
CL RL
BIAS 1V
50µA/
5µA
RCS
R1 R2
CSN
60k 20k
RDS(ON)
CL
IBMON
BAT
4000 F23
RBAT
RCL
CIBMON
32
Figure 23. Simplified Linear Model of the Charge Current
Regulation Loop with the External Charging PFET Driven On
4000fb
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