Micrel, Inc.
MIC3263
Slope Compensation
The boost stage uses peak current m ode and requires
slope compensation. Slope comp ensation is required to
maintain internal stability of the boo st stage across all duty
cycles and to prevent any uns table oscillations. The
MIC3263 uses a combinatio n of internal slope
compensation and a additional slope compensation that is
set by an external resistor, RSLP . The ability to set the
proper slope compensation through the use of a single
external component results in design flexibility. This slope
compensation resistor, RSLP, can be calculated as
follows:
8.64 ×10 × V
Figure 11. Boost Stage
The operating duty cycle can be calculated using the
RSLP =
V OUT(MAX) - L ×F s w
-6
IN(MIN)
equation provided below:
where V IN(MAX) and V OUT(MAX) can be selected to system
speci ficatio ns. The lowest value of RSLP should be 15k ? .
D=
(V OUT - eff × V IN )
V OUT
and D ′ = 1 ? D
Ca lculate RSLP using th e lowest V IN and maximum V OUT
the system will operate.
V IN ×D
RSLP =
= 96.5k ?
8.64 ×10 ×12V
Find L using the following equation:
L=
I L_PP ×F sw
I L_PP is the inductor peak-to-peak ripple current.
Use a I L_PP of 20% to 40% of the total load current. F SW is
the boost switching frequency.
Outp ut Capacitor
In a boost converter, to find the C OUT for a given V OUT
ripple use the following calculation:
Example: For these operating conditions:
V IN(MIN) = 12V, V OUT(MAX) = 3 2V, L = 22 μ H,
F SW = 1MHz
32V - 22 μ H×1Mhz
-6
Use the next highest standard value.
Table 3 compiles and lists RSLP values for one set of
operating conditions. Select RSLP for V IN_MIN and V O_MAX .
C OUT =
I LED total ×D
V RIPPLE × F sw
V RIPPLE can usually be kept below 50mV:
I LED_TOTAL = 6 × 30mA = 180mA
In the MIC3263, the LED current in each channel is
individually regulated by that channels current amplifier
(linear current regulator). These current regulators are fast
enough to follow the boost output voltage ripple and to
keep the LED ripple currents much lower than C OUT can
filter the output ripple voltage.
January 2010
19
M9999-012110
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