12
Rev. 1.0
09/17/03
IRU3073
www.irf.com
Cross Over Frequency:
The stability requirement will be satisfied by placing the
poles and zeros of the compensation network according
to following design rules. The consideration has been
taken to satisfy condition (20) regarding transconduc-
tance error amplifier.
These design rules will give a crossover frequency ap-
proximately one-tenth of the switching frequency. The
higher the band width, the potentially faster the load tran-
sient speed. The gain margin will be large enough to
provide high DC-regulation accuracy (typically -5dB to -
12dB). The phase margin should be greater than 458 for
overall stability.
Based on the frequency of the zero generated by ESR
versus crossover frequency, the compensation type can
be different. The table below shows the compensation
type and location of crossover frequency.
Table - The compensation type and location of zero
crossover frequency.
Detail information is dicussed in application Note AN-
1043 which can be downloaded from the IR Web-Site.
Where:
VIN = Maximum Input Voltage
VOSC = Oscillator Ramp Voltage
Lo = Output Inductor
Co = Total Output Capacitors
FO = R73C103 3
VIN
VOSC
1
2p3Lo3Co
---(21)
Figure 12 - Compensation network with local
feedback and its asymptotic gain plot.
In such configuration, the transfer function is given by:
The error amplifier gain is independent of the transcon-
ductance under the following condition:
By replacing ZIN and Zf according to Figure 7, the trans-
former function can be expressed as:
As known, transconductance amplifier has high imped-
ance (current source) output, therefore, consider should
be taken when loading the E/A output. It may exceed its
source/sink output current capability, so that the ampli-
fier will not be able to swing its output voltage over the
necessary range.
The compensation network has three poles and two ze-
ros and they are expressed as follows:
VOUT
Vp=VREF
R 5
R 6
R8
C 10
C12
C11
R7
Ve
FZ1
FZ2
FP2
FP3
E/A
Zf
ZIN
Frequency
Gain(dB)
H(s) dB
Fb
Comp
H(s) =
1+sR7       3(1+sR8C10)
(1+sR7C1 1)3[1+sC10(R6+R8)]
3
[ ( )]
1
sR6(C12+C1 1)
C12C1 1
C12+C1 1
gmZf >> 1 and gmZIN >>1 ---(20)
1 - g mZf
1 + g mZIN
Ve
VOUT
=
1
2p3C103(R6 + R8)
FZ2 = E
1
2p3C103R6
FZ1 =
1
2p3R73C1 1
FP1 = 0
FP3 = E
1
2p3R73
1
2p3R73C12
FP2 =
1
2p3R83C10
( )
C123C1 1
C12+C1 1
Compensator
Type
Type II (PI)
Type III (PID)
Method A
Type III (PID)
Method B
Location of Zero
Crossover Frequency
(FO)
FPO < FZO < FO < fS/2
FPO < FO < FZO < fS/2
FPO < FO < fS/2 < FZO
Typical
Output
Capacitor
Electrolytic,
Tantalum
Tantalum,
Ceramic
Ceramic
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