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AOZ1081AI Datasheet(PDF) 11 Page - Alpha & Omega Semiconductors

Part # AOZ1081AI
Description  EZBuck??1.8A High Efficiency
PDF  16 Pages
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Manufacturer  AOSMD [Alpha & Omega Semiconductors]
Direct Link  http://www.aosmd.com
Logo AOSMD - Alpha & Omega Semiconductors

AOZ1081AI Datasheet(HTML) 11 Page - Alpha & Omega Semiconductors

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AOZ1081
Rev. 1.1 April 2009
www.aosmd.com
Page 11 of 16
Loop Compensation
The AOZ1081 employs peak current mode control for
easy use and fast transient response. Peak current mode
control eliminates the double pole effect of the output
L&C filter. It 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 and can
be calculated by:
The zero is a ESR zero due to 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 is actually to shape the
converter close loop transfer function to get desired gain
and phase. Several different types of compensation
network can be used for AOZ1081. For most cases, a
series capacitor and resistor network connected to the
COMP pin sets the pole-zero and is adequate for a stable
high-bandwidth control loop.
In the AOZ1081, FB pin and COMP pin are the inverting
input and the output of internal transconductance error
amplifier. A series R and C compensation network con-
nected 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 compensation capacitor.
The zero given by the external compensation network,
capacitor CC (C5 in Figure 1) and resistor RC (R1 in
Figure 1), is located at:
To design the compensation circuit, a target crossover
frequency fC for close loop must be selected. The system
crossover frequency is where control loop has unity gain.
The crossover frequency is also called the converter
bandwidth. Generally a higher bandwidth means faster
response to load transient. However, the bandwidth
should not be too high due to system stability concern.
When designing the compensation loop, converter
stability under all line and load condition must be
considered.
Usually, it is recommended to set the bandwidth to be
less than 1/10 of switching frequency. The AOZ1081
operates at a fixed switching frequency range from
750kHz to 1.15MHz. It is recommended to choose a
crossover frequency less than 75kHz.
The strategy for choosing RC and CC is to set the cross
over frequency with RC and set the compensator zero
with CC. Using selected crossover frequency, fC, to
calculate RC:
where;
fC is desired crossover frequency,
VFB is 0.25V,
GEA is the error amplifier transconductance, which is 200x10-6
A/V, and
GCS is the current sense circuit transconductance, which is
5.64 A/V.
The compensation capacitor CC and resistor RC together
make a zero. This zero is put somewhere close to the
dominate pole fp1 but lower than 1/5 of selected
crossover frequency. CC can is selected byy:
The equation above can also be simplified to:
fp1
1
2
π CO RL
×
×
-----------------------------------
=
fZ1
1
2
π CO ESRCO
×
×
------------------------------------------------
=
fp2
GEA
2
π CC GVEA
×
×
-------------------------------------------
=
fZ2
1
2
π CC RC
×
×
-----------------------------------
=
fC
75kHz
=
RC
fC
VO
VFB
----------
2
π CO
×
GEA GCS
×
------------------------------
×
×
=
CC
1.5
2
π RC fp1
×
×
-----------------------------------
=
CC
CO RL
×
RC
---------------------
=



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