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LTC7813 Datasheet(PDF) 24 Page - Linear Technology

Part # LTC7813
Description  Low IQ, 60V, High Frequency Synchronous Step-Down Controller
PDF  32 Pages
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Manufacturer  LINER [Linear Technology]
Direct Link  http://www.linear.com
Logo LINER - Linear Technology

LTC7813 Datasheet(HTML) 24 Page - Linear Technology

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LTC7800
24
7800f
For more information www.linear.com/LTC7800
APPLICATIONS INFORMATION
take several cycles to respond to a step in DC (resistive)
load current. When a load step occurs, VOUT shifts by an
amount equal to
ΔILOAD (ESR), where ESR is the effective
series resistance of COUT. ΔILOAD also begins to charge or
discharge COUT generating the feedback error signal that
forces the regulator to adapt to the current change and
return VOUT to its steady-state value. During this recov-
ery time VOUT can be monitored for excessive overshoot
or ringing, which would indicate a stability problem.
OPTI-LOOP compensation allows the transient response
to be optimized over a wide range of output capacitance
and ESR values. The availability of the ITH pin not only
allows optimization of control loop behavior, but it also
providesaDCcoupledandACfilteredclosed-loopresponse
test point. The DC step, rise time and settling at this test
point truly reflects the closed-loop response. Assuming a
predominantly second order system, phase margin and/
or damping factor can be estimated using the percentage
of overshoot seen at this pin. The bandwidth can also be
estimated by examining the rise time at the pin. The ITH
external components shown in Figure 9 circuit will provide
an adequate starting point for most applications.
The ITH series RC-CC filter sets the dominant pole-zero
loop compensation. The values can be modified slightly
to optimize transient response once the final PC layout is
done and the particular output capacitor type and value
have been determined. The output capacitors need to be
selected because the various types and values determine
the loop gain and phase. An output current pulse of 20%
to 80% of full-load current having a rise time of 1μs to
10μs will produce output voltage and ITH pin waveforms
that will give a sense of the overall loop stability without
breaking the feedback loop.
Placing a power MOSFET directly across the output ca-
pacitor and driving the gate with an appropriate signal
generator is a practical way to produce a realistic load step
condition. The initial output voltage step resulting from
the step change in output current may not be within the
bandwidth of the feedback loop, so this signal cannot be
used to determine phase margin. This is why it is better
to look at the ITH pin signal which is in the feedback loop
andisthefilteredandcompensatedcontrolloopresponse.
The gain of the loop will be increased by increasing RC
and the bandwidth of the loop will be increased by de-
creasing CC. If RC is increased by the same factor that
CC is decreased, the zero frequency will be kept the same,
thereby keeping the phase shift the same in the most
critical frequency range of the feedback loop. The output
voltage settling behavior is related to the stability of the
closed-loopsystemandwilldemonstratetheactualoverall
supply performance.
A second, more severe transient is caused by switching
in loads with large (>1μF) supply bypass capacitors. The
discharged bypass capacitors are effectively put in parallel
with COUT, causing a rapid drop in VOUT. No regulator can
alter its delivery of current quickly enough to prevent this
sudden step change in output voltage if the load switch
resistance is low and it is driven quickly. If the ratio of
CLOAD to COUT is greater than 1:50, the switch rise time
should be controlled so that the load rise time is limited
to approximately 25 • CLOAD. Thus a 10μF capacitor would
require a 250μs rise time, limiting the charging current
to about 200mA.
Design Example
As a design example, assume VIN = 12V (nominal),
VIN = 22V (max), VOUT = 3.3V, IMAX = 5A, VSENSE(MAX)
= 75mV and f = 1MHz. The inductance value
is chosen first based on a 30% ripple current
assumption. The highest value of ripple current occurs
at the maximum input voltage. Tie the FREQ pin with a
54.9k resistor to GND, generating approximately 1MHz
operation. The inductor ripple current can be calculated
from the following equation:
ΔIL =
VOUT
f
( ) L()
1–
VOUT
VIN(NOM)


A 1.5μH inductor will produce 32% ripple current. The
peak inductor current will be the maximum DC value plus
one half the ripple current, or 5.8A. Increasing the ripple
current will also help ensure that the minimum on-time
of 45ns is not violated. The minimum on-time occurs at
maximum VIN:
tON(MIN) =
VOUT
VIN(MAX) f
( )
=
3.3V
22V 1MHz
(
)
= 150ns



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