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MAX1586A_08 Datasheet, PDF (25/30 Pages) Maxim Integrated Products – High-Efficiency, Low-IQ PMICs with Dynamic Core for PDAs and Smart Phones
High-Efficiency, Low-IQ PMICs with
Dynamic Core for PDAs and Smart Phones
source and reduces switching noise in the controller.
The impedance of the input capacitor at the switching
frequency should be less than that of the input source
so high-frequency switching currents do not pass
through the input source.
The output capacitor keeps output ripple small and
ensures control-loop stability. The output capacitor
must also have low impedance at the switching fre-
quency. Ceramic, polymer, and tantalum capacitors
are suitable, with ceramic exhibiting the lowest ESR
and lowest high-frequency impedance.
Output ripple with a ceramic output capacitor is
approximately:
VRIPPLE = IL(PEAK) [1/(2π x fOSC x COUT)]
If the capacitor has significant ESR, the output ripple
component due to capacitor ESR is:
VRIPPLE(ESR) = IL(PEAK) x ESR
Output capacitor specifics are also discussed in the
Compensation and Stability section.
Compensation and Stability
The relevant characteristics for REG1, REG2, and
REG3 compensation are:
1) Transconductance (from FB_ to CC_), gmEA
2) Current-sense amplifier transresistance, RCS
3) Feedback regulation voltage, VFB (1.25V)
4) Step-down output voltage, VOUT, in V
5) Output load equivalent resistance, RLOAD = VOUT/
ILOAD
The key steps for step-down compensation are:
1) Set the compensation RC zero to cancel the RLOAD
COUT pole.
2) Set the loop crossover at or below approximately
1/10th the switching frequency.
For example, with VIN(MAX) = 5V, VOUT = 2.5V for
REG2, and IOUT = 800mA, then RLOAD = 3.125Ω. For
REG2, RCS = 0.75V/A and gmEA = 87µS.
Choose the crossover frequency, fC ≤ fOSC/10. Choose
100kHz. Then calculate the value of the compensation
capacitor, CC:
CC = (VFB/VOUT) x (RLOAD/RCS) x (gm/(2π x fC))
= (1.25/2.5) x (3.125/0.75) x (87 x 10-6/(6.28
x 100,000)) = 289pF
Choose 330pF, the next highest standard value.
Now select the compensation resistor, RC, so transient-
droop requirements are met. As an example, if 3% tran-
sient droop is allowed for the desired load step, the
Table 4. Compensation Parameters
PARAMETER
Error-Amplifier
Transconductance, gmEA
Current-Sense Amp
Transresistance, RCS
REG1
87µS
REG2
87µS
REG3
68µS
0.5V/A 0.75V/A 1.25V/A
Table 5. Typical Compensation Values
COMPONENT OR
PARAMETER
VOUT
Output Current
Inductor
Load-Step Droop
Loop Crossover Freq (fC)
CC
RC
COUT
REG1
3.3V
1300mA
3.3µH
3%
100kHz
330pF
240kΩ
22µF
REG2
2.5V
900mA
6.8µH
3%
100kHz
270pF
240kΩ
22µF
REG3
1.3V
500mA
10µH
3%
100kHz
330pF
240kΩ
22µF
input to the error amplifier moves 0.03 x 1.25V, or
37.5mV. The error-amplifier output drives 37.5mV x
gmEA, or IEAO = 37.5mV x 87µS = 3.26µA across RC to
provide transient gain. Find the value of RC that allows
the required load-step swing from:
RC = RCS x IIND(PK)/IEAO
where IIND(PK) is the peak inductor current. In a step-
down DC-DC converter, if LIDEAL is used, output cur-
rent relates to inductor current by:
IIND(PK) = 1.25 x IOUT
So for an 800mA output load step with VIN = 3.6V and
VOUT = 2.5V:
RC = RCS x IIND(PK)/IEAO = (0.75V/A) x
(1.25 x 0.8A)/3.26µA = 230kΩ
We choose 240kΩ. Note that the inductor does not limit
the response in this case since it can ramp at (VIN -
VOUT)/L, or (3.6 - 2.5)/3.3µH = 242mA/µs.
The output filter capacitor is then selected so that the
COUT RLOAD pole cancels the RC CC zero:
COUT x RLOAD = RC x CC
For the example:
RLOAD = VOUT x ILOAD = 2.5V/0.8A =
3.125Ω
COUT = RC x CC/RLOAD = 240kΩ x 330pF/
3.125Ω = 25µF
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