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IR3621 Datasheet(PDF) 16 Page - International Rectifier

Part # IR3621
Description  2-PHASE / DUAL SYNCHRONOUS PWM CONTROLLER WITH OSCILLATOR SYNCHRONIZATION AND PRE-BIAS STARTUP
PDF  29 Pages
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Manufacturer  IRF [International Rectifier]
Direct Link  http://www.irf.com
Logo IRF - International Rectifier

IR3621 Datasheet(HTML) 16 Page - International Rectifier

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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 (16) 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 response. The DC gain will be large enough to pro-
vide high DC-regulation accuracy (typically -5dB to -12dB).
The phase margin should be greater than 45
! 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.
Where:
VIN = Maximum Input Voltage
VOSC = Oscillator Ramp Voltage
Lo = Output Inductor
Co = Total Output Capacitors
FO = R7
×C10×
×
VIN
VOSC
1
2
π×Lo×Co
---(17)
FP1 = 0
1
2
π×C10×(R6 + R8)
FZ2 =
≅
1
2
π×C10×R6
FZ1 =
1
2
π×R7×C11
FP3 =
≅
1
2
π×R7×
1
2
π×R7×C12
FP2 =
1
2
π×R8×C10
(
)
C12
×C11
C12+C11
Details are dicussed in application Note AN-1043 which
can be downloaded from the IR Web-Site.
Compensator
Type
Type II (PI)
Type III (PID)
Method A
Type III (PID)
Method B
Location of Zero
Crossover Frequency
(FO)
FLC < FESR < FO < fS/2
FLC < FO < FESR < fS/2
FLC < FO < fS/2 < FZO
Typical
Output
Capacitor
Electrolytic,
Tantalum
Tantalum,
Ceramic
Ceramic
Table - The compensation type and location of zero
crossover frequency.
The slave error amplifier is a differential-input transcon-
ductance amplifier, in 2-phase configuration the main goal
for the slave feed back loop is to control the inductor
current to match the master's inductor current as well
provides highest bandwidth and adequate phase margin
for overall stability. The following analysis is valid for both
using external current sense resistor and using DCR of
inductors.
Where:
VIN = Input Voltage
L2 = Output Inductor
VOSC = Oscillator Peak Voltage
G(s) =
=
---(18)
IL2(s)
Ve(s)
VIN
sL2
× VOSC
D(s) =
=
Ve(s)
RS2
× IL2(s)
1 + sC2R2
sC2
(
)
RS1
RS2
(
)
gm×
×
---(19)
L2
L1
C2
R2
RS2
RS1
Ve
IL2
IL1
Fb2
E/A2
Comp2
Vp2
H(s)=[G(s)
× D(s) × RS2]
1+sR2C2
sC2
(
)
(
)
gm×
RS1
RS2
(
)
VIN
sL2
×VOSC
H(s)=RS2
×
×
×
Compensation for Slave Error Amplfier for 2-Phase
Configuration
The transfer function of power stage is expressed by:
As shown the transfer function is a function of inductor
current.
The transfer function for the compensation network is
given by equation (19), when using a series RC circuit
as shown in Figure 17:
Figure 17 - The PI compensation network
for slave channel.
The loop gain function is:



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