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MAX1952ESA 데이터 시트보기 (PDF) - Maxim Integrated

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MAX1952ESA Datasheet PDF : 15 Pages
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1MHz, All-Ceramic, 2.6V to 5.5V Input,
2A PWM Step-Down DC-to-DC Regulators
Typical Operating Characteristics), the controller
responds by regulating the output voltage back to its
nominal state. The controller response time depends on
the closed-loop bandwidth. A higher bandwidth yields
a faster response time, thus preventing the output from
deviating further from its regulating value.
Compensation Design
The double pole formed by the inductor and output
capacitor of most voltage-mode controllers introduces a
large phase shift, that requires an elaborate compensa-
tion network to stabilize the control loop. The MAX1951/
MAX1952 utilize a current-mode control scheme that reg-
ulates the output voltage by forcing the required current
through the external inductor, eliminating the double pole
caused by the inductor and output capacitor, and greatly
simplifying the compensation network. A simple type 1
compensation with single compensation resistor (R1) and
compensation capacitor (C2) creates a stable and high-
bandwidth loop.
An internal transconductance error amplifier compen-
sates the control loop. Connect a series resistor and
capacitor between COMP (the output of the error ampli-
fier) and GND to form a pole-zero pair. The external
inductor, internal current-sensing circuitry, output
capacitor, and the external compensation circuit deter-
mine the loop system stability. Choose the inductor and
output capacitor based on performance, size, and cost.
Additionally, select the compensation resistor and
capacitor to optimize control-loop stability. The compo-
nent values shown in the typical application circuit
(Figure 2) yield stable operation over a broad range of
input-to-output voltages.
The basic regulator loop consists of a power modulator,
an output feedback divider, and an error amplifier. The
power modulator has DC gain set by gmc x RLOAD,
with a pole-zero pair set by RLOAD, the output capaci-
tor (COUT), and its ESR. The following equations define
the power modulator:
Modulator gain:
GMOD = ΔVOUT/ΔVCOMP = gmc x RLOAD
Modulator pole frequency:
fpMOD = 1 / (2 x π x COUT x (RLOAD+ESR))
Modulator zero frequency:
fzESR = 1 /(2 x π x COUT x ESR)
where, RLOAD = VOUT/IOUT(MAX), and gmc = 4.2S.
The feedback divider has a gain of GFB = VFB / VOUT,
where VFB is equal to 0.8V. The transconductance error
amplifier has a DC gain, GEA(DC), of 70dB. The com-
pensation capacitor, C2, and the output resistance of
the error amplifier, ROEA (20MΩ), set the dominant
pole. C2 and R1 set a compensation zero. Calculate the
dominant pole frequency as:
fpEA = 1/(2πx CC x ROEA)
Determine the compensation zero frequency is:
fzEA = 1/(2π x CC x RC)
For best stability and response performance, set the
closed-loop unity-gain frequency much higher than the
modulator pole frequency. In addition, set the closed-
loop crossover unity-gain frequency less than, or equal
to, 1/5 of the switching frequency. However, set the
maximum zero crossing frequency to less than 1/3 of
the zero frequency set by the output capacitance and
its ESR when using POSCAP, SPCAP, OSCON, or other
electrolytic capacitors.The loop-gain equation at the
unity-gain frequency is:
GEA(fc) x GMOD(fc) x VFB/VOUT = 1
where GEA(fc) = gmEA x R1, and GMOD(fc) = gmc x
RLOAD x fpMOD/fC, where gmEA = 60µS.
R1 calculated as:
R1 = VOUT x K/(gmEA x VFB x GMOD(fc))
where K is the correction factor due to the extra phase
introduced by the current loop at high frequencies
(>100kHz). K is related to the value of the output
capacitance (see Table 1 for values of K vs. C). Set the
error-amplifier compensation zero formed by R1 and C2
at the modulator pole frequency at maximum load. C2
is calculated as follows:
C2 = (VOUT x COUT/(R1 x IOUT(MAX))
As the load current decreases, the modulator pole also
decreases; however, the modulator gain increases
accordingly, resulting in a constant closed-loop unity-
gain frequency. Use the following numerical example to
calculate R1 and C2 values of the typical application
circuit of Figure 2a.
Table 1. K Value
DESCRIPTION
COUT (µF) K Values are for output inductance from 1.2µH
10 0.55 to 2.2µH. Do not use output inductors larger
22
0.47 than 2.2µH. Use fC = 200kHz to calculate R1.
VOUT = 1.5V
IOUT(MAX) = 1.5A
COUT = 10µF
RESR = 0.010Ω
gmEA = 60µS
10 ______________________________________________________________________________________

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