English
Language : 

MAX1586A Datasheet, PDF (25/32 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
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 com-
pensation 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
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
Table 4. Compensation Parameters
PARAMETER
REG1 REG2 REG3
Error-Amplifier
Transconductance, gmEA
Current-Sense Amp
Transresistance, RCS
87µS 87µS 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
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 = VOUTx ILOAD = 2.5V / 0.8A =
3.125Ω
COUT = RC x CC / RLOAD = 240kΩ x 330pF /
3.125Ω = 25µF
We choose 22µF.
Recalculate RC using the selected COUT.
RC = COUT x RLOAD / CC = 208kΩ
______________________________________________________________________________________ 25