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LTC4449 Datasheet(PDF) 47 Page - Linear Technology

Part # LTC4449
Description  Dual Output PolyPhase Step-Down DC/DC Voltage Mode Controller with Digital Power System Management
PDF  108 Pages
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Manufacturer  LINER [Linear Technology]
Direct Link  http://www.linear.com
Logo LINER - Linear Technology

LTC4449 Datasheet(HTML) 47 Page - Linear Technology

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LTC3882-1
47
Rev A
For more information www.analog.com
APPLICATIONS INFORMATION
fC = crossover frequency =
fPWM
10
fZ1(ERR) = fLC =
1
2πR2C1
fZ2(RES) =
fC
5
=
1
2π(R1+ R3)C3
fP1(ERR) = fESR =
1
2πR2(C1//C2)
fP2(RES) = 5fC =
1
2πR3C3
Required error amplifier gain at frequency fC is:
≈ 40log 1+
fC
fLC
⎛
⎝⎜
⎞
⎠⎟
2
– 20log 1+
fC
fESR
⎛
⎝⎜
⎞
⎠⎟
2
– 15.56
Once the value of resistor R1 (function of selected VOUT
range) and pole/zero locations have been decided, the
value of R2, C1, C2, R3 and C3 can be obtained from the
previous equations.
Compensating a switching power supply feedback loop is
a complex task. The applications shown in this data sheet
providetypicalvalues,optimizedforthepowercomponents
shown.Thoughsimilarpowercomponentsshouldsuffice,
substantially changing even one major power component
may degrade performance significantly. Stability also may
depend on circuit board layout. To verify the calculated
component values, all new circuit designs should be
prototyped and tested for stability.
The LTPowerCAD software tool can be used as a guide
through the entire power supply design process, includ-
ing optimization of circuit component values according to
system requirements.
PCB Layout Considerations
To prevent magnetic and electrical field radiation or high
frequency resonant problems and to ensure correct IC
operation, proper layout of the components connected
to the LTC3882-1 is essential. Refer to Figure 24, which
also illustrates current waveforms typically present in the
circuit branches. RSENSE will be replaced with a dead short
ifDCRsensingisused.Formaximumefficiency,theswitch
Theexternalinductor/outputcapacitorcombinationmakes
a more significant contribution to loop behavior. These
componentscausea2ndorderamplituderoll-offthatfilters
the PWM waveform, resulting in the desired DC output
voltage. But the additional 180° phase shift produced by
this filter causes stability issues in the feedback loop and
must be frequency compensated. At higher frequencies,
the reactance of the output capacitor will approach its
ESR, and the roll-off due to the capacitor will stop, leaving
–20dB/decade and 90° of phase shift.
The transfer function of the Type 3 circuit shown in
Figure 22 is given by the following equation:
VCOMP
VOUT
=
–(1+ sC1R2)[1+ s(R1+ R3)C3]
sR1(C1+ C2)[1+ s(C1//C2)R2](1+ sC3R3)
The RC network across the error amplifier and the feed-
forward components R3 and C3 introduce two pole-zero
pairs to obtain a phase boost at the system unity-gain
(crossover)frequency,fC.Intheory,thezerosandpolesare
placedsymmetricallyaroundfC,andthespreadbetweenthe
zeros and the poles is adjusted to give the desired phase
boostatfC.However,inpractice,ifthecrossoverfrequency
is much higher than the LC double-pole frequency, this
method of frequency compensation normally generates
a phase dip within the unity bandwidth and creates some
concern regarding conditional stability.
If conditional stability is a concern, move the error ampli-
fier zero to a lower frequency to avoid excessive phase
dip. The following equations can be used to compute the
feedback compensation component values:
fLC =
1
2π LCOUT
fESR =
1
2πRESRCOUT
choose:



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