Rainbow-electronics MAX1800 Manual de usuario Pagina 17

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MAX1800
Digital Camera Step-Up
Power Supply
______________________________________________________________________________________ 17
Auxiliary Controllers
The auxiliary controllers use voltage mode to regulate
their output voltages, so the control-loop compensation
is slightly more complex than that for the main convert-
er. Use one of the two following procedures:
Discontinuous Inductor Current
For discontinuous inductor current, the PWM converter
has a single pole. The pole frequency and DC gain of
the PWM controller are dependent on the operating
duty cycle, which is:
where R
E
is the equivalent load resistance, or:
The frequency of the single pole due to the PWM con-
verter is:
The DC gain of the PWM controller is:
Note that the pole frequency decreases and the DC
gain increases proportionally as the load resistance
(R
LOAD
) is increased. Since the crossover frequency is
the product of the pole frequency and the DC gain, it
remains independent of the load.
The gain through the voltage-divider is:
The DC gain of the error amplifier is A
VEA
= 2000V/V.
Thus, the DC loop gain is:
A
VDC
= A
VDV
A
VEA
A
VO
The compensation resistor-capacitor pair at COMP
cause a pole and zero at frequencies (in Hz):
The equivalent series resistance (ESR) of the output fil-
ter capacitor causes a zero in the loop response at the
frequency (in Hz):
The DC gain, and the poles and zeros are shown in the
Bode plot of Figure 6.
To achieve a stable circuit with the Bode plot of Figure
6, perform the following procedure:
1) Choose the compensation resistor R
C
that is equiv-
alent to the inverse of the transconductance of the
error amplifier, 1/ R
C
= G
EA
= 100µS, or R
C
= 10k.
This sets the high-frequency voltage gain of the
error amplifier to 0dB.
2) Determine the maximum output pole frequency:
where:
R
LOAD(MIN)
OUT
OUT(MAX)
V
I
=
P
2(V - V
V-V C
O(MAX)
OUT IN)
OUT IN LOAD(MIN) OUT
=
2π()R
Z
C ESR
O
OUT
=
1
2 π
P
G
C
C
Z
RC
C
EA
C
C
C
CC
==
×
=
4000
1
410
1
2
7
π
π
π
A
V
V
VDV
REF
OUT
=
A
VV V
VVRC
VO
OUT OUT IN
OUT IN LOAD OUT
=
()
2
2
()
π
P
VV
VVRC
O
OUT IN
OUT IN LOAD OUT
=
()
()
2
2π
R
VR
VV V
E
IN LOAD
OUT OUT IN
=
()
2
D
Lf
R
OSC
E
=
2
1
2
FREQUENCY
A
VDC
GAIN
(dB)
PHASE
180°
90°
0°
O
-20
80
60
40
20
PHASE
GAIN
Z
C
= P
O
P
C
Z
O
Figure 6. MAX1800 Discontinuous-Current, Voltage-Mode,
Step-Up Converter Bode Plot
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