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LT3467AIS67 Ver la hoja de datos (PDF) - Linear Technology

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LT3467AIS67 Datasheet PDF : 18 Pages
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LT3467/LT3467A
APPLICATIONS INFORMATION
Compensation—Theory
Like all other current mode switching regulators, the
LT3467/LT3467A needs to be compensated for stable
and efficient operation. Two feedback loops are used in
the LT3467/LT3467A: a fast current loop which does not
require compensation, and a slower voltage loop which
does. Standard Bode plot analysis can be used to under-
stand and adjust the voltage feedback loop.
As with any feedback loop, identifying the gain and phase
contribution of the various elements in the loop is critical.
Figure 6 shows the key equivalent elements of a boost
converter. Because of the fast current control loop, the
power stage of the IC, inductor and diode have been re-
placed by the equivalent transconductance amplifier gmp.
gmp acts as a current source where the output current is
proportional to the VC voltage. Note that the maximum
output current of gmp is finite due to the current limit
in the IC.
gmp
+
VOUT
CPL
RESR RL
VC
RC RO
1.255V
REFERENCE
gma
COUT
R1
CC
R2
3467 F06
CC: COMPENSATION CAPACITOR
COUT: OUTPUT CAPACITOR
CPL: PHASE LEAD CAPACITOR
gma: TRANSCONDUCTANCE AMPLIFIER INSIDE IC
gmp: POWER STAGE TRANSCONDUCTANCE AMPLIFIER
RC: COMPENSATION RESISTOR
RL: OUTPUT RESISTANCE DEFINED AS VOUT DIVIDED BY ILOAD(MAX)
RO: OUTPUT RESISTANCE OF gma
R1, R2: FEEDBACK RESISTOR DIVIDER NETWORK
RESR: OUTPUT CAPACITOR ESR
Figure 6. Boost Converter Equivalent Model
From Figure 6, the DC gain, poles and zeroes can be
calculated as follows:
Output
Pole:
P1=
2
π
2
RL
COUT
Error Amp Pole: P2=
1
2 • π • RO • CC
Error
Amp
Zero:
Z1=
2
π
1
RC
CC
DC
GAIN:
A=
1.255
VOUT 2
VIN
• gma
• RO
• gmp
• RL
1
2
ESR
Zero:
Z2
=
2
π
1
RESR
COUT
RHP
Zero:
Z3=
2
VIN2 • RL
π • VOUT2
L
High Frequency Pole: P3> fS
3
Phase
Lead
Zero
:
Z4
=
2
π
1
R1•
CPL
Phase
Lead
Pole
:
P4
=
2
π
1
CPL
R1• R2
R1+ R2
The current mode zero is a right-half plane zero which can
be an issue in feedback control design, but is manageable
with proper external component selection.
3467afe
10

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