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LT1310 데이터 시트보기 (PDF) - Linear Technology

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LT1310 Datasheet PDF : 12 Pages
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LT1310
APPLICATIO S I FOR ATIO
VOUT
100mV/DIV
AC COUPLED
IL
0.5A/DIV
RC = 3k
200µs/DIV
1310 F03a
Figure 3a. Transient Response Shows Excessive Ringing
VOUT
100mV/DIV
AC COUPLED
IL
0.5A/DIV
RC = 6k
200µs/DIV
1310 F03b
Figure 3b. Transient Response is Better
VOUT
100mV/DIV
AC COUPLED
IL
0.5A/DIV
RC = 15k
200µs/DIV
1310 F03b
Figure 3c. Transient Response is Well Damped
100mA to 200mA. Figure 3a shows the transient response
with RC equal to 3k. The phase margin is poor as evi-
denced by the excessive ringing in the output voltage and
inductor current. In Figure 3b, the value of RC is increased
to 6k, which results in a more damped response. Figure
3c shows the results when RC is increased further to 15k.
The transient response is nicely damped and the compen-
sation procedure is complete.
Compensation—Theory
Like all other current mode switching regulators, the
LT1310 needs to be compensated for stable and efficient
operation. Two feedback loops are used in the LT1310: a
fast current loop which does not require compensation,
and a slower voltage loop which does. Standard Bode plot
analysis can be used to understand 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 4 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power stage of the IC, inductor and diode have been
replaced by the equivalent transconductance amplifier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.
From Figure 4, the DC gain, poles and zeroes can be
calculated as follows:
Output Pole: P1=
2
2 • π • RL • COUT
Error Amp Pole: P2 =
1
2 • π • RO • CC
Error Amp Zero: Z1=
1
2 • π • RC • CC
DC
Gain:
A
=
1.25
VOUT
gma
• RO
• gmp
• RL
In addition to the elements from Figure 4, current mode
control aslo results in some other poles and zeroes. These
are as follows:
RHP
Zero:
Z2
=
2
VIN2 • RL
π • VOUT2
•L
Output Zero: Z3 =
1
2 • π • ESR • COUT
Current Mode Pole: P3 > fS
3
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.
sn1310 1310fs
9

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