Datasheet

LTC4009
LTC4009-1/LTC4009-2
16
4009fd
applicaTions inForMaTion
compensation capacitance connected to ITH to maintain
stability or prevent large current overshoot during start-
up. Selecting a higher Q1 PWM frequency (≈10kHz) will
reduce the need to change C
PROG
or other compensation
values.Charge current will be proportional to the duty cycle
of the PWM input on the gate of Q1.
Programming LTC4009 Output Voltage
Figure 5 shows the external circuit for programming the
charger voltage when using the LTC4009. The voltage is
then governed by the following equation:
V
V R R
R
R R A R B
BAT
=
+
( )
= +
1 2085 1 2
2
2 2 2
.
,
See Table 2 for approximate resistor values for R2.
R R
V
R R A R B1 2
1 2085
1 2 2 2=
= +
V
BAT
.
,
Selecting R2 to be less than 50k and the sum of R1 and
R2 at least 200k or above, achieves the lowest possible
error at the V
FB
sense input. Note that sources of error
such as R1 and R2 tolerance, FBDIV R
ON
or V
FB
input
impedance are not included in the specifications given in
the Electrical Characteristics. This leads to the possibil-
ity that very accurate (0.1%) external resistors might be
required. Actually, the temperature rise of the LTC4009 will
rarely exceed 50°C at the end of charge, because charge
current will have tapered to a low level. This means that
0.25% resistors will normally provide the required level of
overall accuracy. Table 2 gives recommended values for
R1 and R2 for popular lithium-ion battery voltages. For
values of R1 above 200k, addition of capacitor C
Z
may
improve transient response and loop stability. A value of
10pF is normally adequate.
Table 2. Programming LTC4009 Output Voltage
V
BAT
VOLTAGE R1 (0.25%) R2A (0.25%) R2B (1%)*
4.1V 165k 69.0k
4.2V 167k 67.3k 200
8.2V 162k 28.0k
8.4V 169k 28.4k
12.3V 301k 32.8k
12.6V 294k 31.2k
16.4V 284k 22.6k
16.8V 271k 21.0k
20.5V 316k 19.8k
21.0V 298k 18.2k
24.6V 298k 15.4k
25.2V 397k 20.0k
*To obtain required accuracy requires series resistors for R2.
Figure 4. Programming PWM Current
Figure 5. Programming LTC4009 Output Voltage
13
Q1
2N7002
4009 F04
PROG
LTC4009
R
PROG
R
MAX
511k
C
PROG
0V
5V
11
9
BAT
FBDIV
95Ω
TYPICAL
10
V
FB
LTC4009
R1
R2A
R2B*
4009 F05
C
Z
*OPTIONAL TRIM RESISTOR
21
GND
(EXPOSED PAD)
+