Rainbow-electronics MAX8724 Manual de usuario Pagina 20

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MAX1908/MAX8724
CCV Loop Definitions
Compensation of the CCV loop depends on the para-
meters and components shown in Figure 5. C
CV
and
R
CV
are the CCV loop compensation capacitor and
series resistor. R
ESR
is the equivalent series resistance
(ESR) of the charger output capacitor (C
OUT
). R
L
is the
equivalent charger output load, where R
L
= V
BATT
/
I
CHG
. The equivalent output impedance of the GMV
amplifier, R
OGMV
10M. The voltage amplifier
transconductance, GMV = 0.125µA/mV. The DC-DC
converter transconductance, GM
OUT
= 3.33A/V:
where A
CSI
= 20, and RS2 is the charging current-
sense resistor in the Typical Application Circuits.
The compensation pole is given by:
The compensation zero is given by:
The output pole is given by:
where R
L
varies with load according to R
L
= V
BATT
/ I
CHG.
Output zero due to output capacitor ESR:
The loop transfer function is given by:
Assuming the compensation pole is a very low
frequency, and the output zero is a much higher fre-
quency, the crossover frequency is given by:
To calculate R
CV
and C
CV
values of the circuit of Figure 2:
Cells = 4
C
OUT
= 22µF
V
BATT
= 16.8V
I
CHG
= 2.5A
GMV = 0.125µA/mV
GM
OUT
= 3.33A/V
R
OGMV
= 10M
f = 400kHz
Choose crossover frequency to be 1/5th the
MAX1908’s 400kHz switching frequency:
Solving yields R
CV
= 26k.
Conservatively set R
CV
= 1k, which sets the crossover
frequency at:
f
CO_CV
= 3kHz
Choose the output-capacitor ESR such that the output-
capacitor zero is 10 times the crossover frequency:
f
RC
MHz
Z ESR
ESR OUT
_
.=
×
=
1
2
2 412
π
R
fC
ESR
CO CV OUT
=
×× ×
=
1
210
024
π
_
.
f
GMV R GM
C
kHz
CO CV
CV OUT
OUT
_
=
××
=
2
80
π
f
GMV R GM
C
CO CV
CV OUT
OUT
_
=
××
2π
LTF GM R GMV R
sC R sC R
sC R sC R
OUT L OGMV
OUT ESR CV CV
CV OGMV OUT L
×××
()
()
()
()
11
11
f
RC
Z ESR
ESR OUT
_
=
×
1
2π
f
RC
P OUT
L OUT
_
=
×
1
2π
f
RC
ZCV
CV CV
_
=
×
1
2π
f
RC
PCV
OGMV CV
_
=
×
1
2π
GM
ARS
OUT
CSI
=
×
1
2
Low-Cost Multichemistry Battery Chargers
20 ______________________________________________________________________________________
GM
OUT
BATT
CCV
GMV
REF
R
CV
C
CV
R
OGMV
R
ESR
R
L
C
OUT
Figure 5. CCV Loop Diagram
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