ACT4513
Rev 7, 14-Nov-12
STABILITY COMPENSATION
Figure 5:
Stability Compensation
If R
COMP
is limited to 15kΩ, then the actual cross
over frequency is 3.4 / (V
OUT
C
OUT
). Therefore:
C
COMP
=
1.2
×
10
−
5
V
OUT
C
OUT
(F)
(14)
STEP 3. If the output capacitor’s ESR is high
enough to cause a zero at lower than 4 times the
cross over frequency, an additional compensation
capacitor C
COMP2
is required. The condition for using
C
COMP2
is:
R
ESRCOUT
: C
COMP2
is needed only for high ESR output capacitor
⎛
1.1
×
10
−
6
⎞
≥
Min
⎜
,0.012
×
V
OUT
⎟
⎜
C
⎟
OUT
⎝
⎠
(Ω)
(15)
The feedback loop of the IC is stabilized by the
components at the COMP pin, as shown in Figure
3. The DC loop gain of the system is determined by
the following equation:
And the proper value for C
COMP2
is:
C
COMP 2
=
C
OUT
R
ESRCOUT
R
COMP
(16)
A
VDC
0 . 808 V
=
A
VEA
G
COMP
I
OUT
G
(7)
The dominant pole P1 is due to C
COMP
:
f
P 1
=
EA
COMP
Though C
COMP2
is unnecessary when the output
capacitor has sufficiently low ESR, a small value
C
COMP2
such as 100pF may improve stability against
PCB layout parasitic effects.
Table 2 shows some calculated results based on
the compensation method above.
Table 1:
2
π
A
VEA
C
(8)
The second pole P2 is the output pole:
I
OUT
f
P 2
=
2
π
V
OUT
C
OUT
The first zero Z1 is due to R
COMP
and C
COMP
:
f
Z 1
=
1
2
π
R
COMP
C
COMP
(9)
Typical Compensation for Different Output
Voltages and Output Capacitors
V
OUT
2.5V
C
OUT
47μF Ceramic CAP
47μF Ceramic CAP
47μF Ceramic CAP
470μF/6.3V/30mΩ
470μF/6.3V/30mΩ
470μF/6.3V/30mΩ
R
COMP
C
COMP
C
COMP2
5.6kΩ
6.2kΩ
8.2kΩ
39kΩ
45kΩ
51kΩ
3.3nF
3.3nF
3.3nF
22nF
22nF
22nF
None
None
None
47pF
47pF
47pF
(10)
3.3V
5V
2.5V
3.3V
5V
And finally, the third pole is due to R
COMP
and
C
COMP2
(if C
COMP2
is used):
f
P 3
=
1
2
π
R
COMP
C
COMP2
(11)
The following steps should be used to compensate
the IC:
STEP 1. Set the cross over frequency at 1/10 of the
switching frequency via R
COMP
:
2
π
V
OUT
C
OUT
f
SW
R
COMP
=
10 G
EA
G
COMP
×
0 .808 V
=
2 . 75
×
10
8
V
OUT
C
OUT
: C
COMP2
is needed for high ESR output capacitor.
C
COMP2
≤
47pF is recommended.
CC Loop Stability
The constant-current control loop is internally
compensated over the 750mA-2500mA output
range. No additional external compensation is
required to stabilize the CC current.
(Ω)
(12)
Output Cable Resistance Compensation
To compensate for resistive voltage drop across the
charger's output cable, the ACT4513 integrates a
simple, user-programmable cable voltage drop
compensation using the impedance at the FB pin.
Use the curve in Figure 4 to choose the proper
feedback resistance values for cable compensation.
-8-
www.active-semi.com
Copyright © 2012 Active-Semi, Inc.
STEP 2. Set the zero f
Z1
at 1/4 of the cross over
frequency. If R
COMP
is less than 15kΩ, the equation
for C
COMP
is:
C
COMP
=
1 .8
×
10
−
5
R
COMP
(F)
(13)
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TM