MAX8730
Low-Cost Battery Charger
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CCS Loop Compensation
The simplified schematic in Figure 8 is sufficient to
describe the operation of the MAX8730 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 amplifier, RS1 = 10mΩ in the
typical application circuits. R
OGMS
is the equivalent
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 = GM
OUT
/D =
2.22A/V/D.
The loop-transfer function is given by:
the loop-transfer function simplifies to:
The crossover frequency is given by:
For stability, choose a crossover frequency lower than
1/10 of the switching frequency:
Values for CCS greater than 10 times the minimum
value may slow down the current-loop response exces-
sively. Figure 9 shows the Bode plot of the input cur-
rent-limit-loop frequency response using the values
calculated above.
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