IRU3073
11
Rev. 1.0
09/17/03
www.irf.com
First select the desired zero-crossover frequency (Fo):
Use the following equation to calculate R4:
Where:
VIN = Maximum Input Voltage
VOSC = Oscillator Ramp Voltage
Fo = Crossover Frequency
FESR = Zero Frequency of the Output Capacitor
FLC = Resonant Frequency of the Output Filter
R5 and R6 = Resistor Dividers for Output Voltage
  Programming
gm = Error Amplifier Transconductance
H(s) = gm3 3 ---(15)
( )
R5
R6 + R5
1 + sR4C9
sC9
FLC = 3.41KHz
R5 = 1K
R6 = 2.15K
gm = 700mmho
For:
VIN = 5V
VOSC = 1.25V
Fo = 20KHz
FESR = 12KHz
R4 = 3 3 3 ---(18)
Fo3FESR
FLC
2
VOSC
VIN
R5 + R6
R5
1
gm
Fo > FESR and FO [ (1/5 ~ 1/10)3fS
For:
Lo = 3.3mH
Co = 660mF
FZ E 75%FLC
FZ E 0.753
1
2p LO 3 CO
---(19)
FZ = 2.5KHz
R4 = 24K
FZ = ---(17)
1
2p3R43C9
|H(s=j32p3FO)| = gm3 3R4 ---(16)
R5
R63R5
VOUT
Vp=VREF
R 5
R 6
R4
C9
Ve
E/A
FZ
H(s) dB
Frequency
Gain(dB)
Fb
Comp
C POLE
Figure 11 - Compensation network without local
feedback and its asymptotic gain plot.
The transfer function (Ve / VOUT) is given by:
The (s) indicates that the transfer function varies as a
function of frequency. This configuration introduces a gain
and zero, expressed by:
|H(s)| is the gain at zero cross frequency.
C9 E 2590pF; Choose C9 =2200pF
FP =
2p3R43
1
C93CPOLE
C9 + CPOLE
CPOLE = E
 for FP <<
fS
2
1
p3R43fS
p3R43fS -
1
1
C9
This results to R4=23.14K
Choose R4=24K
To cancel one of the LC filter poles, place the zero be-
fore the LC filter resonant frequency pole:
Using equations (17) and (19) to calculate C9, we get:
One more capacitor is sometimes added in parallel with
C9 and R4. This introduces one more pole which is mainly
used to suppress the switching noise. The additional
pole is given by:
The pole sets to one half of switching frequency which
results in the capacitor CPOLE:
For a general solution for unconditionally stability for
ceramic capacitor with very low ESR and any type of
output capacitors, in a wide range of ESR values we
should implement local feedback with a compensation
network. The typically used compensation network for
voltage-mode controller is shown in Figure 12.
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