LTC4101
22
4101fa
APPLICATIONS INFORMATION
Charge Termination Issues
Batteries with constant current charging and voltage-based
charger termination might experience problems with re-
ductions of charger current caused by adapter limiting. It
is recommended that input limiting feature be defeated in
such cases. Consult the battery manufacturer for informa-
tion on how your battery terminates charging.
Setting Output Current Limit (Refer to Figure 1)
The LTC4101 current DAC and the PWM analog circuitry
must coordinate the setting of the charger current. Failure
to do so will result in incorrect charge currents.
Table 9. Recommended Resistor Values
I
MAX
(A) R
SENSE
() 1% R
SENSE
(W) R
ILIM
() 1%
1.023 0.100 0.25 0
2.046 0.05 0.25 10k
3.068 0.025 0.5 33k
4.092 0.025 0.5 Open
Warning
DO NOT CHANGE THE VALUE OF R
ILIM
DURING OPERA-
TION. The value must remain fi xed and track the R
SENSE
value at all times. Changing the current setting can result
in currents that greatly exceed the requested value and
potentially damage the battery or overload the wall adapter
if no input current limiting is provided.
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
.
ΔI
L
=
1
f
()
L
()
V
OUT
1
V
OUT
V
IN
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
). Remember the
maximum ΔI
L
occurs at the maximum input voltage. The
inductor value also has an effect on low current operation.
The transition to low current operation begins when the
inductor current reaches zero while the bottom MOSFET
is on. Lower inductor values (higher ΔI
L
) will cause this
to occur at higher load currents, which can cause a dip in
effi ciency in the upper range of low current operation.
Table 8. Recommended Resistor Values
Adapter
Rating (A)
–7% Adapter
Rating (A)
R
CL
Value*
()1%
R
CL
Limit (A)
R
CL
Power
Dissipation (W)
R
CL
Power
Rating(W)
1.5 1.40 0.068 1.47 0.15 0.25
1.8 1.67 0.062 1.61 0.16 0.25
2.0 1.86 0.051 1.96 0.20 0.25
2.3 2.14 0.047 2.13 0.21 0.25
2.5 2.33 0.043 2.33 0.23 0.50
2.7 2.51 0.039 2.56 0.26 0.50
3.0 2.79 0.036 2.79 0.28 0.50
3.3 3.07 0.033 3.07 0.31 0.50
3.6 3.35 0.030 3.35 0.33 0.50
4.0 3.72 0.027 3.72 0.37 0.50
* Rounded to nearest 5% standard step value. Many non standard values are popular.
LTC4101
23
4101fa
APPLICATIONS INFORMATION
Table 10. Recommended Inductor Values
Inductance
I
MAX
(A)
2V
IN
Range (V) 1 3* and 4
≤ 7.5 16µH ± 20% 8µH ± 20% 4µH ± 20%
≤ 9.0 20µH ± 20% 10µH ± 20% 5µH ± 20%
≤ 12.0 24µH ± 20% 12µH ± 20% 6µH ± 20%
≤ 15.0 26µH ± 20% 13µH ± 20% 6.5µH ± 20%
≤ 28.0 30µH ± 20% 15µH ± 20% 7.5µH ± 20%
R
SENSE
0.1Ω 0.05Ω 0.025Ω
* 3 Amp uses the same R
SENSE
that 4 amps uses. Thus the inductance
can be the same.
Choose and inductor who’s inductance value is equal to
or greater than the value shown. Values assume:
1. –32% RSS result from –20% inductance tolerance
and a –25% inductance loss at I
MAX
.
2. Inductor ripple current ratio of 0.51 of I
OUT
across
R
SENSE
.
3. V
OUT
is at 4.2V
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.
Selection criteria for the power MOSFETs include the “ON”
resistance R
DS(ON)
, total gate capacitance Q
G
, reverse
transfer capacitance C
RSS
, input voltage and maximum
output current. The charger is operating in continuous
mode so the duty cycles for the top and bottom MOSFETs
are given by:
Main Switch Duty Cycle = V
OUT
/V
IN
Synchronous Switch Duty Cycle = (V
IN
– V
OUT
)/V
IN
.
The MOSFET power dissipations at maximum output
current are given by:
PMAIN = V
OUT
/V
IN
(I
MAX
)
2
(1 + δΔT)R
DS(ON)
+ k(V
IN
)
2
(I
MAX
)(C
RSS
)(f
OSC
)
PSYNC = (V
IN
– V
OUT
)/V
IN
(I
MAX
)
2
(1 + δΔT)R
DS(ON)
Where δ∆T is the temperature dependency of R
DS(ON)
and
k is a constant inversely related to the gate drive current.
Both MOSFETs have I
2
R losses while the PMAIN equation
includes an additional term for transition losses, which
are highest at high input voltages. For V
IN
< 20V the high
current effi ciency generally improves with larger MOSFETs,
while for V
IN
> 20V the transition losses rapidly increase to
the point that the use of a higher R
DS(ON)
device with lower
C
RSS
actually provides higher effi ciency. The synchronous
MOSFET losses are greatest at high input voltage or during
a short circuit when the duty cycle in this switch in nearly
100%. The term (1 + δΔT) is generally given for a MOSFET
in the form of a normalized R
DS(ON)
vs temperature curve,
but δ = 0.005/°C can be used as an approximation for low
voltage MOSFETs. C
RSS
= Q
GD
/ΔV
DS
is usually specifi ed
in the MOSFET characteristics. The constant k = 2 can be
used to estimate the contributions of the two terms in the
main switch dissipation equation.
If the charger is to operate in low dropout mode or with
a high duty cycle less than 50%, then the bottomside
N-Channel effi ciency generally improves with a larger
MOSFET. Using asymmetrical MOSFETs may achieve cost
savings or effi ciency gains.
Both of the LTC4101 MOSFET drivers are optimized to
take advantage of MOSFETs Q
G
values of less than 22nC
and a TD-off delay specifi cation of around 60ns or less.
Larger FETs may work, but you must qualify them and
monitor LTC4101 temperature rise.
Using excessively large MOSFETs relative to the I
MAX
charge current they are working with will actually reduce
effi ciency at lighter current levels with very limited gain
at high currents. A good place to start looking for a suit-
able MOSFET in a data sheet is to look for a part with
an I
D
rating a little over 2 times the I
MAX
charge current
rating. For the LTC4101, the P-channel FET can typically
be scaled down a bit to take advantage of the lower duty
cycle limits. However make sure you never exceed the P
D
rating of the device.
LTC4101
24
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APPLICATIONS INFORMATION
The Schottky diode D1, shown in the Typical Application
on the back page, conducts during the dead-time between
the conduction of the two power MOSFETs. This prevents
the body diode of the bottom MOSFET from turning on and
storing charge during the dead-time, which could cost as
much as 1% in effi ciency. A 1A Schottky is generally a good
size for 4A regulators due to the relatively small average
current. Larger diodes can result in additional transition
losses due to their larger junction capacitance.
The diode may be omitted if the effi ciency loss can be
tolerated.
Calculating IC Power Dissipation
The power dissipation of the LTC4101 is dependent upon
the gate charge of the top and bottom MOSFETs (Q2 &
Q3 respectively) The gate charge (QG) is determined from
the manufacturers data sheet and is dependent upon both
the gate voltage swing and the drain voltage swing of the
MOSFET. Use 6V for the gate voltage swing and V
DCIN
for
the drain voltage swing.
P
D
= V
DCIN
• (f
OSC
(QG
Q2
+ QG
Q3
) + I
DCIN
) + V
DD
• I
DD
Example: V
DCIN
= 12V, f
OSC
= 345kHz, QG
Q2
= 25nC,
QG
Q3
= 15nC, I
DCIN
= 5mA, V
DD
= 5.5V,
I
DD
= 1mA.
P
D
= 231mW
Calculating V
DD
Current
The LTC4101 V
DD
current, or I
DD
, consist of three parts:
a. I
RUN
= Current due to active clocking and bias inside
the IC.
b. I
THRM
= Current due to thermistor circuit activity.
c. I
ACCEL
= Current due to SMBus acceleration activity.
I
DD
= I
RUN
+ I
THRM
+ I
ACCEL
a) I
RUN
current is basically independent of SCL clock rate.
Once the LTC4101 determines that there is activity on
the SMBus, it turns on its internal HF oscillator. This
HF oscillator remains on until a stop event occurs or
SDA and SCL are at logic level 1 for the SMBus timeout
period. Then it shuts off the HF oscillator. Thus, the
length of the transmission and the rate of transmission
bursts are more important in determining how much
current the LTC4101 burns, rather than the SCL rate.
In the equation below, I
Q
is the static current the IC
consumes as a function of the V
DD
voltage when not
active. Since it is hard to quantify the actual messages
going down the SMBus, one must estimate the SMBus
activity level in term of bus utilization per second.
I
RUN
= Message Duty Cycle • 950µA
+ (1 – Message Duty Cycle) • I
Q
where I
Q(TYP)
= V
DD
/47.2k
b) I
THRM
current is due to SafetySignal (thermistor pin)
sampling that will vary with the presence of DC power
being on or off. DCDIV is detected every 32ms. RTHX
is the value of the safety signal resistance, which will
vary with temperature or battery confi guration.
b1) I
THRM(ON)
when DC is on:
I
THRM(ON)_OVERRANGE
= 1/16 • V
DD
/(54.9k + RTHX)
where RTHX > 100k
I
THRM(ON)_COLD
= 1/8 • V
DD
/(54.9k + RTHX)
where RTHX > 30k
I
THRM(ON)_NORMAL
= 1/8 • V
DD
/(54.9k + RTHX)
+ 1/16 • V
DD
/(1.13k + RTHX)
I
THRM(ON)_HOT*
= 1/8 • V
DD
/(54.9k + RTHX) + 1/8
V
DD
/(1.13k + RTHX) RTHX < 3k
* includes underrange
b2) I
THRM(OFF)
when DC is off, the thermistor monitoring
rate is reduced to every 250ms or less.
I
THRM(OFF)_OVERRANGE
= 1/50 • V
DD
/(54.9k + RTHX)
where RTHX > 100k
I
THRM(OFF)_COLD
= 1/50 • V
DD
/(54.9k + RTHX)
+ 1/1000 • V
DD
/(54.9k + RTHX) RTHX > 30k
I
THRM(OFF)_NORMAL
= 1/50 • V
DD
/(54.9k + RTHX)
+ 1/500 • V
DD
/(54.9k + RTHX) + 1/1000
• V
DD
/(1.13k + RTHX)
I
THRM(OFF)_HOT*
= 1/50 • V
DD
/(54.9k + RTHX)
+ 1/500 • V
DD
/(54.9k + RTHX) + 1/500
• V
DD
/(1.13k + RTHX)
where RTHX < 3k
* includes underrange

LTC4101EG#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Battery Management Single Cell Smart Battery Charger
Lifecycle:
New from this manufacturer.
Delivery:
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