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AOZ1050PI
Rev. 1.0 June 2011 www.aosmd.com Page 9 of 14
Output Capacitor
The output capacitor is selected based on the DC output
voltage rating, output ripple voltage specification and
ripple current rating.
The selected output capacitor must have a higher rated
voltage specification than the maximum desired output
voltage including ripple. De-rating needs to be
considered for long term reliability.
Output ripple voltage specification is another important
factor for selecting the output capacitor. In a buck
converter circuit, output ripple voltage is determined by
inductor value, switching frequen c y, output capacitor
value and ESR. It can be calculated by the equation
below:
where,
CO is output capacitor value, and
ESRCO is the equivalent series resistance of the output
capacitor.
When a low ESR ceramic capa citor is u sed as the ou tput
capacitor, the impedance of the cap acitor at the switching
frequency dominates. Output ripple is mainly caused by
capacitor value and inductor ripple current. The output
ripple voltage calculation ca n be simp lifie d to :
If the impedance of ESR at switching frequency
dominates, the output r ipple volt age is mainly decided by
capacitor ESR and inductor ripple current. The output
ripple voltage calculation can be further simplified to:
For lower output ripple voltage across the entire
operating temperature range, X5R or X7R dielectric type
of ceramic, or other low ESR tantalum capacitors are
recommended as output capacitors.
In a buck converter, output capacitor current is
continuous. The RMS current of output capacitor is
decided by the peak to peak inductor ripple current. It can
be calculated by:
Usually, the ripple current rating of the ou tput capacitor is
a smaller issue because of the low current stress. When
the buck inductor is selected to be very small and
inductor ripple current is high, the output capacitor could
be overstressed.
Loop Compensation
The AOZ1050PI employs peak current mode control for
ease of use and fast transient response. Peak current
mode control eliminates the double pole effect of the
output L&C filter. It also greatly simplifies the
compensation loop design.
With peak current mode control, the buck power stage
can be simplified to be a one-pole and one-zero system
in frequency domain. The pole is dominant pole can be
calculated by:
The zero is a ESR zero due to the output capacitor and
its ESR. It is can be calculated by:
where;
CO is the output filter capacitor,
RL is load resistor value, and
ESRCO is the equivalent series resistance of output capacitor.
The compensation design shapes the converter control
loop transfer function for the desired gain and phase.
Several dif ferent types of compensation networ ks can be
used with the AOZ1050PI. For most cases, a series
capacitor and resistor network connected to the
COMP pin set s the pole-zero and is a dequate for a st able
high-bandwidth control loop.
In the AOZ1050PI, FB and COMP are the inverting input
and the output of the internal error amplifier. A series
R and C compensation network connected to COMP
provides one pole and one zero. The pole is:
where;
GEA is the error amplifier transconductance, which is 200 x 10-6
A/V,
GVEA is the error amplifier voltage gain, which is 500 V/V, and
CC is the compensation capacitor in Figure 1.
ΔVOΔILESRCO 1
8fC
O
××
-------------------------+
⎝⎠
⎛⎞
×=
ΔVOΔIL1
8fC
O
××
-------------------------
×=
ΔVOΔILESRCO
×=
ICO_RMS ΔIL
12
----------=
fP11
2πCORL
××
-----------------------------------=
fZ11
2πCOESRCO
××
------------------------------------------------=
fP2GEA
2πCCGVEA
××
-------------------------------------------=
Not Recommended For New Designs