SC2441A
POWER MANAGEMENT
Applications Information
The inner current-loop is unstable (sub-harmonic
oscillation) unless the inductor current up-slope is steeper
than the inductor current down-slope. For stable
operation above 50% duty-cycle, a compensation ramp
is added to the sensed-current. In the SC2441A the
compensation ramp is made duty-ratio dependent. The
compensation ramp is approximately
VSLOPE (D) = 230mV ×D × e0.734×D
D is the duty ratio.
The slope compensation voltage vs duty ratio is as shown
in Figure 22.
0.5
CS+
CS-
x 29
+
-
++
Slope Compensation
Voltage
FB
0.5V
- EA
+
Comp
VBE+1.13V
+-
Compensation
Network
+
-
PWM
0.4
Figure 23. Control Flow Chart with Slope
Compensation
0.3
0.2
0.1
0.0
0.0 0.2 0.4 0.6 0.8 1.0
Duty Ratio (D)
k
Figure 22. Slope Compensation Voltage Waveform
Illustrated as the picture above, as the duty ratio
increases, the slope compensation voltage added into
the control loop increases too. And the control loop
including the slope compensation is shown in Figure 23.
The voltage transconductance error amplifier (shown in
Figure 24) has a gm of 315µA/V. C2, C3 and R2 construct
the compensation network for stable operation with
optimized load transient response.
The feedback gain h and the resistor values are
determined using the equations given in the “Setting the
Output Voltage” section with
h = 0.5 .
Vo
Figure 24. A simple model of current-mode buck
converter
For the rated output current Io, the first-order gain k is
determined as
k = DIo .
DVc
k is the product of equivalent current sensing Rs and
current amplifier gain Gca=29. Furthermore the transfer
2006 Semtech Corp.
33
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