LTC4008
13
4008fb
APPLICATIONS INFORMATION
Charger Current Programming
The basic formula for charging current is:
I
VkR V
R
CHARGE MAX
REF PROG
SENSE
()
•. / .
=
Ω3 01 0 035
V
REF
= 1.19V. This leaves two degrees of freedom: R
SENSE
and R
PROG
. The 3.01k input resistors must not be altered
since internal currents and voltages are trimmed for this
value. Pick R
SENSE
by setting the average voltage between
CSP and BAT to be close to 100mV during maximum
charger current. Then R
PROG
can be determined by solving
the above equation for R
PROG
.
R
Vk
RI V
PROG
REF
SENSE CHARGE MAX
=
Ω
+
•.
•.
()
301
0 035
Table 2. Recommended R
SNS
and R
PROG
Resistor Values
I
MAX
(A) R
SENSE
(Ω) 1% R
SENSE
(W) R
PROG
(kΩ) 1%
1.0 0.100 0.25 26.7
2.0 0.050 0.25 26.7
3.0 0.033 0.5 26.7
4.0 0.025 0.5 26.7
Charging current can be programmed by pulse width
modulating R
PROG
with a switch Q1 to R
PROG
at a frequency
higher than a few kHz (Figure 5). C
PROG
must be increased
to reduce the ripple caused by the R
PROG
switching. The
compensation capacitor at I
TH
will probably need to be
increased also to improve stability and prevent large
overshoot currents during start-up conditions. Charging
current will be proportional to the duty cycle of the switch
with full current at 100% duty cycle and zero current when
Q1 is off.
Maintaining C/10 Accuracy
The C/10 comparator threshold that drives the FLAG pin
has a fi xed threshold of approximately V
PROG
= 400mV.
This threshold works well when R
PROG
is 26.7k, but will
not yield a 10% charging current indication if R
PROG
is
a different value. There are situations where a standard
value of R
SENSE
will not allow the desired value of charging
current when using the preferred R
PROG
value. In these
cases, where the full-scale voltage across R
SENSE
is within
±20mV of the 100mV full-scale target, the input resistors
connected to CSP and BAT can be adjusted to provide the
desired maximum programming current as well as the
correct FLAG trip point.
For example, the desired max charging current is 2.5A but
the best R
SENSE
value is 0.033Ω. In this case, the volt-
age across R
SENSE
at maximum charging current is only
82.5mV, normally R
PROG
would be 30.1k but the nominal
FLAG trip point is only 5% of maximum charging current.
If the input resistors are reduced by the same amount as
the full-scale voltage is reduced then, R4 = R5 = 2.49k
and R
PROG
= 26.7k, the maximum charging current is
still 2.5A but the FLAG trip point is maintained at 10%
of full scale.
There are other effects to consider. The voltage across the
current comparator is scaled to obtain the same values as
the 100mV sense voltage target, but the input referred sense
voltage is reduced, causing some careful consideration of
the ripple current. Input referred maximum comparator
threshold is 117mV, which is the same ratio of 1.4x the
DC target. Input referred I
REV
threshold is scaled back to
–24mV. The current at which the switcher starts will be
reduced as well so there is some risk of boost activity.
These concerns can be addressed by using a slightly larger
inductor to compensate for the reduction of tolerance to
ripple current.
R
Z
102k
C
PROG
4008 F05
LTC4008
PROG
Q1
2N7002
R
PROG
0V
5V
10
Figure 5. PWM Current Programming
LTC4008
14
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APPLICATIONS INFORMATION
Battery Conditioning
Some batteries require a small charging current to condi-
tion them when they are severely depleted. The charging
current is switched to a high rate after the battery voltage
has reached a “safe” voltage to do so. Figure 6 illustrates
how to do this 2-level charging. When Q1 is on, the charger
current is set to maximum. When Q1 is off, the charging
current is set to 10% of the maximum.
R2
53.6k
C
PROG
0.0047μF
4008 F06
LTC4008
Q1
2N7002
R1
26.7k
PROG
10
Figure 6. 2-Level Current Programming
Charger Voltage Programming
A resistor divider, R8 and R9 (see Figure 10), programs
the fi nal fl oat voltage of the charger. The equation for fl oat
voltage is (the input bias current of EA is typically –4nA
and can be ignored):
V
FLOAT
= V
REF
(1 + R8/R9)
It is recommended that the sum of R8 and R9 not be less
than 100k. Accuracy of the LTC4008 voltage reference is
±0.8% at 25°C, and ±1% over the full temperature range.
This leads to the possibility that very accurate (0.1%)
resistors might be needed for R8 and R9. Actually, the
temperature of the LTC4008 will rarely exceed 50°C near the
oat voltage because charging currents have tapered to a low
level, so 0.25% resistors will normally provide the required
level of overall accuracy. Table 3 contains recommended
values for R8 and R9 for popular fl oat voltages.
Table 3
FLOAT VOLTAGE (V) R9 (kΩ) 0.25% R8 (kΩ) 0.25%
8.2 24.9 147
8.4 26.1 158
12.3 15 140
12.6 16.9 162
16.4 11.5 147
16.8 13.3 174
Soft-Start
The LTC4008 is soft started by the 0.12μF capacitor on
the I
TH
pin. On start-up, I
TH
pin voltage will rise quickly to
0.5V, then ramp up at a rate set by the internal 40μA pull-up
current and the external capacitor. Battery charging current
starts ramping up when I
TH
voltage reaches 0.8V and full
current is achieved with I
TH
at 2V. With a 0.12μF capacitor,
time to reach full charge current is about 2ms and it is
assumed that input voltage to the charger will reach full
value in less than 2ms. The capacitor can be increased up
to 1μF if longer input start-up times are needed.
Input and Output Capacitors
The input capacitor (C2) is assumed to absorb all input
switching ripple current in the converter, so it must have
adequate ripple current rating. Worst-case RMS ripple
current will be equal to one-half of output charging current.
Actual capacitance value is not critical. Solid tantalum
low ESR capacitors have high ripple current rating in a
relatively small surface mount package, but caution must
be used when tantalum capacitors are used for input or
output bypass. High input surge currents can be created
when the adapter is hot-plugged to the charger or when
a battery is connected to the charger. Solid tantalum
capacitors have a known failure mechanism when subjected
to very high turn-on surge currents. Kemet T495 series
of “Surge Robust” low ESR tantalums are rated for high
surge conditions such as battery to ground.
LTC4008
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APPLICATIONS INFORMATION
The relatively high ESR of an aluminum electrolytic for
C1, located at the AC adapter input terminal, is helpful
in reducing ringing during the hot-plug event. Refer to
Application Note 88 for more information.
Highest possible voltage rating on the capacitor will
minimize problems. Consult with the manufacturer before
use. Alternatives include high capacity ceramic (at least
20μF) from Tokin, United Chemi-Con/Marcon, et al. Other
alternative capacitors include OS-CON capacitors from
Sanyo.
The output capacitor (C3) is also assumed to absorb
output switching current ripple. The general formula for
capacitor current is:
I
V
V
V
Lf
RMS
BAT
BAT
DCIN
=
()
()()
029 1
1
.–
For example:
V
DCIN
= 19V, V
BAT
= 12.6V, L1 = 10μH, and
f = 300kHz, I
RMS
= 0.41A.
EMI considerations usually make it desirable to minimize
ripple current in the battery leads, and beads or inductors
may be added to increase battery impedance at the 300kHz
switching frequency. Switching ripple current splits between
the battery and the output capacitor depending on the ESR
of the output capacitor and the battery impedance. If the
ESR of C3 is 0.2Ω and the battery impedance is raised to
4Ω with a bead or inductor, only 5% of the current ripple
will fl ow in the battery.
Inductor Selection
Higher operating frequencies allow the use of smaller
inductor and capacitor values. A higher frequency gener-
ally results in lower effi ciency because of MOSFET gate
charge losses. In addition, the effect of inductor value
on ripple current and low current operation must also be
considered. The inductor ripple current ΔI
L
decreases with
higher frequency and increases with higher V
IN
.
Δ=
()()
I
fL
V
V
V
L OUT
OUT
IN
1
1–
Accepting larger values of ΔI
L
allows the use of low
inductances, but results in higher output voltage ripple
and greater core losses. A reasonable starting point for
setting ripple current is ΔI
L
= 0.4(I
MAX
). In no case should
ΔI
L
exceed 0.6(I
MAX
) due to limits imposed by I
REV
and
CA1. Remember the maximum ΔI
L
occurs at the maxi-
mum input voltage. In practice 10μH is the lowest value
recommended for use.
Lower charger currents generally call for larger inductor
values. Use Table 4 as a guide for selecting the correct
inductor value for your application.
Table 4
MAXIMUM AVERAGE
CURRENT (A)
INPUT
VOLTAGE (V)
MINIMUM INDUCTOR
VALUE (μH)
1 ≤20 40 ±20%
1 >20 56 ±20%
2 ≤20 20 ±20%
2 >20 30 ±20%
3 ≤20 15 ±20%
3 >20 20 ±20%
4 ≤20 10 ±20%
4 >20 15 ±20%
Charger Switching Power MOSFET
and Diode Selection
Two external power MOSFETs must be selected for use
with the charger: a P-channel MOSFET for the top (main)
switch and an N-channel MOSFET for the bottom (syn-
chronous) switch.
The peak-to-peak gate drive levels are set internally. This
voltage is typically 6V. Consequently, logic-level threshold
MOSFETs must be used. Pay close attention to the BV
DSS
specifi cation for the MOSFETs as well; many of the logic
level MOSFETs are limited to 30V or less.

LTC4008EGN#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Battery Management 4A, High Efficiency Li-Ion Charger
Lifecycle:
New from this manufacturer.
Delivery:
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