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
≥ 10MΩ. 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
= 10MΩ
f = 400kHz
Choose crossover frequency to be 1/5th the
MAX1908’s 400kHz switching frequency:
Solving yields R
CV
= 26kΩ.
Conservatively set R
CV
= 1kΩ, 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:
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