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COMPONENTS CALCULATION
C Comp1 = --------------------------------------------------------
33 × 10
V SLOPE × 5
C Comp2 = ---------------------------
2
f Cross × R Comp × π × 2
G M
6.28 × F SW
In order to improve the transient response of the boost, on
the 34844A, a resistor divider has been implemented from
the PWM pin to ground with a connection to the
compensation network. This configuration should inject a
1.0 V signal to the COMP pin and the Thevenin-equivalent
resistance of the divider is close to R COMP , i.e. R COMP = 6.8 k
and R PCOMP = 27 k for a 5.0 V PWM signal.
PWM
C COMP1
3
R SLOPE = -----------------------------
Variable Definition
D= Boost Duty Cycle
V OUT = Output Voltage
V D = Diode Forward Voltage
V IN = Input Voltage
V SW = V DROP of Internal Switch
Δ V OUT = Output Voltage Ripple Ratio
IIN AVG = Average Input Current
I OUT = Output Current
r=Input Current Ratio
IIN MAX = Maximum input current
IRMS CIN = RMS current for Input Capacitor
IRMS COUT = RMS current for Output Capacitor
L= Inductor
R PCOMP
R COMP
C COMP2
COMP PIN
R W = Inductor winding DC Resistance
f SW = Boost Switching Frequency
CSG= Current Sense Gain = 0.2 V/A
A CSA = Current Sense Amplifier Gain = 9
R SENSE = Current Sense Resistor = 22mohm
C OUT = Output Capacitor
V SLOPE = ----------------------------------------------------
Slope Compensation
Slope Compensation can be expressed either in terms of
Ampers/Second or as Volts/Second, through the use of the
transfer resistance.
The following formula express the Slope Compensation in
terms of V/ μ s:
( Vout – Vin ) × CSG
L × 2
R COMP = Compensation Resistor
G M = OTA Transconductance
ESR COUT = ESR of Output Capacitor
f RHPZ = Right Half Plane Zero Frequency
f CROSS = Crossover Frequency
C COMP1 = Compensation Capacitor
C COMP2 = Shunt Compensation Capacitor
V SLOPE = Slope Compensation (V/ μ s)
R SLOPE = External Resistor for Slope Compensation
Where “L” is in μ H
In order to have this slope compensation, the following
resistor should be set.
34844
Analog Integrated Circuit Device Data
56
Freescale Semiconductor
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