MAX8731A
SMBus Level 2 Battery Charger
with Remote Sense
______________________________________________________________________________________ 25
C
OUT
is also much lower impedance than R
L
near
crossover so the parallel impedance is mostly capaci-
tive and:
If R
ESR
is small enough, its associated output zero has
a negligible effect near crossover and the loop-transfer
function can be simplified as follows:
Setting LTF = 1 to solve for the unity-gain frequency
yields:
For stability, choose a crossover frequency lower than
1/10 the switching frequency. For example, choose a
crossover frequency of 50kHz and solve for R
VC
using
the component values listed in Figure 1 to yield R
CV
=
10kΩ:
GMV = 0.125µA/mV
GM
OUT
= 5A/V
C
OUT
= 2 x 10µF
F
OSC
= 400kHz
R
L
= 0.2Ω
F
CO_CV
= 50kHz
To ensure that the compensation zero adequately can-
cels the output pole, select f
Z_CV
f
P_OUT
:
C
CV
(R
L
/ R
CV
) C
OUT
C
CV
400pF (assuming 2 cells and 2A maximum
charge current.)
Figure 8 shows the Bode plot of the voltage-loop fre-
quency response using the values calculated above.
CCI Loop Compensation
The simplified schematic in Figure 9 is sufficient to
describe the operation of the MAX8731A when the bat-
tery current loop (CCI) is in control. Since the output
capacitor’s impedance has little effect on the response
of the current loop, only a simple single pole is required
to compensate this loop. A
CSI
is the internal gain of the
current-sense amplifier. RS2 is the charge current-
sense resistor (10mΩ). R
OGMI
is the equivalent output
impedance of the GMI amplifier, which is greater than
10MΩ. GMI is the charge-current amplifier transcon-
ductance = 1µA/mV. GM
OUT
is the DC-DC converter
transconductance = 5A/V.
R
Cf
GMV GM
k
CV
OUT CO CV
OUT
=
×
×
×2
10
π
_
Ω
fGMG
R
C
CO CV OUT MV
CV
OUT
_
×
×2π
LTF GM
R
sC
G
OUT
CV
OUT
MV
R
sC R sC
L
OUT L OUT
()1
1
FREQUENCY (Hz)
MAGNITUDE (dB)
PHASE (DEGREES)
100k10k1k100101
-20
0
20
40
60
80
-40
-90
-45
0
-135
0.1 1M
MAG
PHASE
C
CI
R
OGMI
CCI
GMI
CSI
ChargeCurrent( )
GM
OUT
CSIP
RS2
CSIN
Figure 8. CCV Loop Response Figure 9. CCI Loop Diagram
MAX8731A
SMBus Level 2 Battery Charger
with Remote Sense
26 ______________________________________________________________________________________
FREQUENCY (Hz)
MAGNITUDE (dB)
100k1k10
-20
0
20
40
60
100
80
-40
-45
0
-90
0.1
MAG
PHASE
C
CS
R
OGMS
GMS
CSS
InputCurrent( )
CCS
CSSP
RS1
CSSI
GM
IN
SYSTEM
LOAD
ADAPTER
INPUT
Figure 10. CCI Loop Response
Figure 11. CCS Loop Diagram
The loop-transfer function is given by:
This describes a single-pole system. Since:
the loop-transfer function simplifies to:
The crossover frequency is given by:
For stability, choose a crossover frequency lower than
1/10 the switching frequency:
C
CI
> 10 × GMI / (2π f
OSC
) = 4nF, for a 400kHz switch-
ing frequency.
Values for C
CI
greater than 10 times the minimum value
can slow down the current-loop response. Choosing C
CI
= 10nF yields a crossover frequency of 15.9kHz. Figure
10 shows the Bode plot of the current-loop frequency
response using the values calculated above.
CCS Loop Compensation
The simplified schematic in Figure 11 is sufficient to
describe the operation of the MAX8731A when the
input current-limit loop (CCS) is in control. Since the
output capacitor’s impedance has little effect on the
response of the input current-limit loop, only a single
pole is required to compensate this loop. A
CSS
is the
internal gain of the current-sense resistor; RS1 = 10mΩ
in the typical application circuits. R
OGMS
is the equiva-
lent output impedance of the GMS amplifier, which is
greater than 10MΩ. GMS is the charge-current amplifier
transconductance = 1µA/mV. GM
IN
is the DC-DC con-
verter’s input-referred transconductance = (1/D) x
GM
OUT
= (1 / D) x 5A/V.
The loop-transfer function is given by:
Since:
the loop-transfer function simplifies to:
LTF GMS
R
SR C
OGMS
OGMS CS
=
1
GM
ARS
IN
CSS
=
×
1
2
LTF GM A RSI GMS
R
SR C
IN CSS
OGMS
OGMS CS
××
1
f
GMI
C
CO CI
CI
_
=
2π
LTF GMI
R
sR C
OGMI
OGMI CI
=
+
×1
GM
ARS
OUT
CSI
=
×
1
2
LTF GM A RS GMI
R
sR C
OUT CSI
OGMI
OGMI CI
××
+
×
2
1
MAX8731A
SMBus Level 2 Battery Charger
with Remote Sense
______________________________________________________________________________________ 27
The crossover frequency is given by:
For stability, choose a crossover frequency lower than
1/10 the switching frequency:
Choosing a crossover frequency of 30kHz and using
the component values listed in Figure 1 yields C
CS
>
5.4nF. Values for CCS greater than 10 times the mini-
mum value may slow down the current-loop response
excessively. Figure 12 shows the Bode plot of the input
current-limit-loop frequency response using the values
calculated above.
MOSFET Drivers
The DHI and DLO outputs are optimized for driving
moderate-sized power MOSFETs. The MOSFET drive
capability is the same for both the low-side and high-
sides switches. This is consistent with the variable duty
factor that occurs in the notebook computer environ-
ment where the battery voltage changes over a wide
range. There must be a low-resistance, low-inductance
path from the DLO driver to the MOSFET gate to pre-
vent shoot-through. Otherwise, the sense circuitry in the
MAX8731A interprets the MOSFET gate as “off” while
there is still charge left on the gate. Use very short,
wide traces measuring 10 to 20 squares or less
(1.25mm to 2.5mm wide if the MOSFET is 25mm from
the device). Unlike the DLO output, the DHI output uses
a 50ns (typ) delay time to prevent the low-side MOSFET
from turning on until DHI is fully off. The same consider-
ations should be used for routing the DHI signal to the
high-side MOSFET.
The high-side driver (DHI) swings from LX to 5V above
LX (BST) and has a typical impedance of 3Ω sourcing
and 1Ω sinking. The low-side driver (DLO) swings from
DLOV to ground and has a typical impedance of 1Ω
sinking and 3Ω sourcing. This helps prevent DLO from
being pulled up when the high-side switch turns on, due
to capacitive coupling from the drain to the gate of the
low-side MOSFET. This places some restrictions on the
MOSFETs that can be used. Using a low-side MOSFET
with smaller gate-to-drain capacitance can prevent
these problems.
Design Procedure
MOSFET Selection
Choose the n-channel MOSFETs according to the maxi-
mum required charge current. The MOSFETs must be
able to dissipate the resistive losses plus the switching
losses at both V
DCIN(MIN)
and V
DCIN(MAX)
.
For the high-side MOSFET, the worst-case resistive
power losses occur at the maximum battery voltage
and minimum supply voltage:
Generally a low-gate charge high-side MOSFET is pre-
ferred to minimize switching losses. However, the
R
DS(ON)
required to stay within package power-dissi-
pation limits often limits how small the MOSFET can be.
The optimum occurs when the switching (AC) losses
equal the conduction (R
DS(ON)
) losses. Calculating the
power dissipation in N1 due to switching losses is diffi-
cult since it must allow for difficult quantifying factors
that influence the turn-on and turn-off times. These fac-
tors include the internal gate resistance, gate charge,
threshold voltage, source inductance, and PCB layout
characteristics. The following switching-loss calculation
provides a rough estimate and is no substitute for
breadboard evaluation, preferably including a verifica-
tion using a thermocouple mounted on N1:
PD High Side t V I f
SWITCHING Trans DCIN CHG SW
() × × ×
1
2
PD HighSide
V
V
IR
CONDUCTION
FBS
CSSP
CHG
DS ON
()
_
()
×
2
C GMS f
CS OSC
52/( )π
f
GMS
C
CO CS
CS
_
=
2π
FREQUENCY (Hz)
MAGNITUDE (dB)
100k 10M1k10
-20
0
20
40
60
100
80
-40
-45
0
-90
0.1
MAG
PHASE
PHASE (DEGREES)
Figure 12. CCS Loop Response

MAX8731AETI+

Mfr. #:
Manufacturer:
Maxim Integrated
Description:
Battery Management SMBus Level 2 Battery Charger
Lifecycle:
New from this manufacturer.
Delivery:
DHL FedEx Ups TNT EMS
Payment:
T/T Paypal Visa MoneyGram Western Union

Products related to this Datasheet