LTC4121/LTC4121-4.2
22
4121fc
For more information www.linear.com/LTC4121
Calculating IC Power Dissipation
The user should ensure that the maximum rated junction
temperature is not exceeded under all operating conditions.
The thermal resistance of the LTC4121 package (θ
JA
) is
54°C/W; provided that the Exposed Pad is in good thermal
contact with the PCB. The actual thermal resistance in the
application will depend on the forced air cooling and other
heat sinking means, especially the amount of copper on
the PCB to which the LTC4121 is attached. The actual
power dissipation while charging is approximated by the
following formula:
P
D
= V
IN
V
BAT
( )
I
TRKL
+ V
IN
I
IN(SWITCHING)
+R
SNS
I
2
CHG
+R
DSON(TOP)
V
BAT
V
IN
I
2
CHG
+R
DSON(BOT)
1
V
BAT
V
IN
I
2
CHG
During trickle charge (V
BAT
< V
TRKL
) the power dissipation
may be significant as I
TRKL
is typically 10mA, however
during normal charging the I
TRKL
term is zero. I
TRKL
is
also zero if V
BAT
approaches INTV
CC
, since I
TRKL
is sourced
from the INTV
CC
LDO.
The junction temperature can be estimated using the fol-
lowing formula:
T
J
= T
A
+ P
D
Θ
JA
.
where T
A
is the ambient operating temperature.
APPLICATIONS INFORMATION
PCB Layout
To prevent magnetic and electrical field radiation and
high frequency resonant problems, proper layout of the
components connected to the LTC4121 is essential. For
maximum efficiency, the switch node rise and fall times
should be minimized. The following PCB design priority
list will help insure proper topology. Layout the PCB using
the guidelines listed below in this specific order:
1
. V
IN
input capacitor should be placed as close as possible
to the IN pin with the shortest copper traces possible.
The ground return of the input capacitor should be
connected to a solid ground plane.
2
. Place the inductor as close as possible to the SW
pin. Minimize the surface area of the SW pin node.
Make the trace width the minimum needed to support
the programmed charge current, and ensure that the
spacing to other copper traces be maximized to reduce
capacitance from the SW node to any other node.
3
. Place the BAT capacitor adjacent to the BAT pin and
ensure that the ground return feeds to the solid ground
plane.
4
. Route analog ground (RUN pin divider grounded resistor,
the MPPT pin divider, and INTV
CC
capacitor ground) to
the solid ground plane.
5
. It is important to minimize parasitic capacitance on
the PROG pin. The trace connecting to this pin should
be as short as possible with extra wide spacing from
adjacent copper traces.
6
. Keep the GND capacitance of the MPPT pin to a mini-
mum, and reduce coupling from the MPPT pin to any
of the switching pins (SW, BOOST, and CHGSNS) by
routing the MPPT trace away from these signals.
Maximize the copper area connected to the exposed pad.
Place via connections directly under the exposed pad to
connect a large copper ground plane to the LTC4121 to
improve heat transfer.
Example PCB layout files of the LTC4121 are available at
the following link:
http://www.linear.com/product/LTC4121#demoboards.
LTC4121/LTC4121-4.2
23
4121fc
For more information www.linear.com/LTC4121
APPLICATIONS EXAMPLES
Design Example 1
Consider the design example, shown in Figure 14 on the
last page, for the LTC4121-4.2. Input power is from a
solar panel that has an open-circuit voltage V
OC
= 21.6V,
and maximum power voltage V
MP
= 17V, or 79% of the
open-circuit voltage. The battery float voltage is 4.2V, and
the desired charge current is 400mA. The application has
a minimum battery voltage of 2.5V.
There is no requirement given for the input voltage where
the LTC4121-4.2 should turn on. Given that the MPPT set
point, V
MP
, is at 79% of the open-circuit voltage of 21.6V,
one may elect to turn-on the LTC4121-4.2 at an input
voltage anywhere below this set point. A level of 60% of
the open-circuit voltage is selected, or 13V. This selection
results in a RUN pin divider of R
RUN1
= 464kΩ, and R
RUN2
= 107kΩ. With this RUN pin divider, the LTC4121-4.2 en-
ters DISABLED mode if the input supply drops below 12V.
Now select the MPPT resistive divider to obtain a maxi-
mum power point of 17V. The maximum power point of
17V is at 79% of the open-circuit voltage.
This is used to
calculate the ratio
V
MP
V
OC
=
0.1
K
R
Select
K
R
= 0.1/0.79 = 0.1266
This ratio is obtained by selecting R
MPPT1
and R
MPPT2
following:
R
MPPT1
=
(10.1266)
0.1266
R
MPPT2
= 6.9 R
MPPT2
Using standard 1% resistors, select R
MPPT1
= 698kΩ and
R
MPPT2
= 100kΩ to obtain a K
R
of 0.1253, and an MPPT
set point of 17.24V.
As described in the MPPT Error Terms section, the actual
regulation voltage will vary from the programmed voltage
down to 45mV/K
R
= 359mV below the programmed voltage.
In this example, the expected regulation voltage is 16.88V
to 17.24V, or 78.2% to 80.1% of the open-circuit voltage.
The switching frequency of 750kHz is selected to achieve
an on-time of 154ns which is greater than t
MIN(ON)
at the
maximum input supply, and minimum battery voltage of
2.5V.
t
ON
=
2.5V
750kHz 21.6V
= 154.3 > t
MIN(ON)
Next, the minimum standard inductance value is found
that maintains an inductor ripple current 30% of I
CHG
, at
the peak power input voltage of 17V using the following
formula:
L
SW
>
(17V 4.2V) 4.2V
750kHz 17V (30% 400mA)
= 35µH
The next largest standard inductance value is 47µH. This
inductor selection results in a ripple current of 90mA and
peak inductor current I
L(PEAK)
of:
I
L(PEAK)
= 400mA+
(17V 4.2V) 4.2V
2 750kHz 17V 47µH
I
L(PEAK)
= 444mA
The saturation current of the switch inductor needs to be
greater than I
L(PEAK)
.
Now select R
PROG
for the desired average charge current
during constant-current operation. The nearest standard
1% resistor to satisfy the following relation:
R
PROG
=
h
PROG
1.227V
400mA
= 3.01k
Select C
IN
= 10µF for the input decoupling capacitor,
achieving an input voltage ripple of 10mV.
V
IN
=
400mA
4.2V
17V
10µF
= 10mV
The minimum standard voltage rating for C
IN
is 50V.
Select C
INTVCC
= 2.2µF, and C
BST
= 22nF, and finally the
battery capacitor should be 22µF. The lowest standard
voltage rating for these capacitors is 6V.
LTC4121/LTC4121-4.2
24
4121fc
For more information www.linear.com/LTC4121
APPLICATIONS EXAMPLES
In this design example, maximum power dissipation is
calculated during trickle charge as:
P
D
=(17V 2.5V) 10mA
+17V 2.5mA
+0.3 0.04A
2
+0.8
4.2V
17V
0.04A
2
+0.5 1
2.5V
17V
0.04A
2
= 0.19W
This dissipated power results in a junction temperature
rise of:
P
D
Θ
JA
= 0.19W • 54C°/W = 10.2°C
Estimating I
IN(SWITCHING)
at 2.5mA from the I
IN(SWITCHING)
Current vs Input Voltage graph at V
IN
= 17V, during
regular charging with V
BAT
> V
TRKL
, the power dissipation
reduces to:
P
D
= 17V 2.5mA
+0.3 0.4A
2
+0.8
4.2V
17V
0.4A
2
+0.5 1
4.2V
17V
0.4A
2
= 0.18W
This dissipated power results in a junction temperature
rise of 9.8°C over ambient.
Design Example 2
Consider the design with a 3.5W or greater solar panel with
a maximum input voltage of V
OC
= 22.4V and a maximum
power voltage of V
MP
= 18V or 80.3% of the open-circuit
voltage. The minimum battery voltage is 5V, and the float
voltage is 8.2V, with a charge current of 400mA.
The MPPT set point is at 80.3% of the open-circuit volt-
age. So select
K
R
= 0.1/0.803 = 0.1245
This ratio is obtained by selecting R
MPPT1
and R
MPPT2
following:
R
MPPT1
=
(10.1245)
0.1245
R
MPPT2
= 7.03 R
MPPT2
Using standard 1% resistors, select R
MPPT1
= 715kΩ and
R
MPPT2
= 102kΩ to obtain a K
R
of 0.1248 and nominal
MPPT set point of 17.94V. Including the effect of MPPT
error terms, the expected MPPT regulation voltage will
vary between 17.58V to 17.94V or 78.5% to 80.1% of the
open-circuit voltage.
Next, the external feedback divider, R
FB1
/R
FB2
, is found
using standard 1% values listed in Table 2.
R
FB1
= 2.05MΩ
R
FB2
= 845kΩ
With these resistors, and including the resistance of the
FBG pin, the battery float voltage is 8.22V.
Select the RUN pin divider to turn on the charger when
the solar-cell output reaches 14.7V. This is obtained by
selecting R
RUN1
= 536kΩ, and R
RUN2
= 107kΩ. This selec-
tion turns off the charger if the input falls below 13.52V.
The switching frequency is selected at 1.5MHz which meets
the minimum on-time requirement for battery voltages
as low as 5V.
t
ON
=
5V
1.5MHz 17.94V
= 186ns > t
MIN(ON)
The minimum standard inductance value for a 30% ripple
current is
L
SW
>
(17.94V 8.2V) 8.2V
1.5MHz 17.94V (30% 400mA)
= 24.8µH
The nearest standard inductor value greater than this is
33µH. With an inductor of 33µH, the peak inductor current
is 445mA and the ripple current amplitude, ∆I
L
, is 90mA.
Select an inductor with a saturation current greater than
the peak inductor current.
Select R
PROG
= 3.01k, as the nearest standard 1% value
to provide a charge current of 403mA during constant-
current operation.

LTC4121EUD#PBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Battery Management 40V 400mA Sync Buck Bat Chr
Lifecycle:
New from this manufacturer.
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