LTC3561A
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Checking Transient Response
The OPTI-LOOP
®
compensation allows the transient re-
sponse to be optimized for a wide range of loads and output
capacitors. The availability of the I
TH
pin not only allows
optimization of the control loop behavior but also provides
a DC coupled and AC filtered closed loop response test
point. The DC step, rise time and settling time 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 I
TH
external components shown in the circuit on page 1
of this data sheet will provide an adequate starting point for
most applications. The series R-C filter sets the dominant
pole-zero loop compensation. The values can be modified
slightly (from 0.5 to 2 times their suggested values) 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 feedback factor gain and phase. An output current
pulse of 20% to 100% of full load current having a rise
time of 1µs to 10µs will produce output voltage and I
TH
pin waveforms that will give a sense of the overall loop
stability without breaking the feedback loop.
Switching regulators take several cycles to respond to a
step in load current. When a load step occurs, V
OUT
im-
mediately shifts by an amount equal to ΔI
LOAD
• ESR, where
ESR is the effective series resistance of C
OUT
. ΔI
LOAD
also
begins to charge or discharge C
OUT
generating a feedback
error signal used by the regulator to return V
OUT
to its
steady-state value. During this recovery time, V
OUT
can
be monitored for overshoot or ringing that would indicate
a stability problem.
The initial output voltage step may not be within the
bandwidth of the feedback loop, so the standard second
order overshoot/DC ratio cannot be used to determine
phase margin. The gain of the loop increases with R and
the bandwidth of the loop increases with decreasing C.
If R is increased by the same factor that C is decreased,
the zero frequency will be kept the same, thereby keeping
the phase the same in the most critical frequency range
of the feedback loop. In addition, a feedforward capacitor
C
F
can be added to improve the high frequency response,
as shown in Figure 4. Capacitor C
F
provides phase lead by
creating a high frequency zero with R2 which improves
the phase margin.
The output voltage settling behavior is related to the stability
of the closed-loop system and will demonstrate the actual
overall supply performance. For a detailed explanation of
optimizing the compensation components, including a
review of control loop theory, refer to Linear Technology
Application Note 76.
Although a buck regulator is capable of providing the full
output current in dropout, it should be noted that as the
input voltage V
IN
drops toward V
OUT
, the load step capability
APPLICATIONS INFORMATION
Figure 4. LTC3561A General Schematic
PV
IN
LTC3561A
SW
SV
IN
V
FB
I
TH
SHDN/R
T
D1
OPTIONAL
V
IN
SGND PGND
C
F
R
T
R
C
R1
R2
3561A F04
C
C
C
ITH
C5
V
OUT
C
IN
+
+
C6
PGND PGND
SGND SGND SGND SGNDGND
PGND
L1
PGND
C
OUT
R6
C8
SGND
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does decrease due to the decreasing voltage across the
inductor. Applications that require large load step capabil-
ity near dropout should use a different topology such as
SEPIC, Zeta or single inductor
, positive buck/boost.
In some applications, a more severe transient can be caused
by switching in loads with large (>1µF) input capacitors.
The discharged input capacitors are effectively put in paral
-
lel with C
OUT
, causing a rapid drop in V
OUT
. No regulator
can deliver enough current to prevent this problem, if the
switch connecting the load has low resistance and is driven
quickly. The solution is to limit the turn-on speed of the
load switch driver. A Hot Swap™ controller is designed
specifically for this purpose and usually incorporates cur
-
rent limiting, short-circuit protection, and soft-starting.
the losses in LTC3561A circuits: 1) LTC3561A V
IN
current,
2) switching losses, 3) I
2
R losses, 4) other losses.
1) The V
IN
current is the DC supply current given in the
electrical characteristics which excludes MOSFET driver
and control currents. V
IN
current results in a small (<0.1%)
loss that increases with V
IN
, even at no load.
2) The switching current is the sum of the MOSFET driver
and control currents. The MOSFET driver current results
from switching the gate capacitance of the power MOSFETs.
Each time a MOSFET gate is switched from low to high
to low again, a packet of charge dQ moves from V
IN
to
ground. The resulting dQ/dt is a current out of V
IN
that is
typically much larger than the DC bias current. In continu-
ous mode, I
GATECHG
= f
O
(QT + QB), where QT and QB are
the gate charges of the internal top and bottom MOSFET
switches. The gate charge losses are proportional to V
IN
and thus their effects will be more pronounced at higher
supply voltages.
3) I
2
R Losses are calculated from the DC resistances of
the internal switches, R
SW
, and external inductor, R
L
. In
continuous mode, the average output current flowing
through inductor L is “chopped” between the internal top
and bottom switches. Thus, the series resistance look
-
ing into the SW pin is a function of both top and bottom
MOSFET R
DS(ON)
and the duty cycle (DC) as follows:
R
SW
= (R
DS(ON)
TOP)(DC) + (R
DS(ON)
BOT)(1 – DC)
The R
DS(ON)
for both the top and bottom MOSFETs can
be obtained from the Typical Performance Characteristics
curves. Thus, to obtain I
2
R losses:
I
2
R losses = I
OUT
2
(R
SW
+ R
L
)
4) Other “hidden” losses such as copper trace and internal
battery resistances can account for additional efficiency
degradations in portable systems. It is very important
to include these “system” level losses in the design of a
system. The internal battery and fuse resistance losses can
be minimized by making sure that C
IN
has adequate charge
storage and very low ESR at the switching frequency. Other
losses including diode conduction losses during dead-time
and inductor core losses which generally account for less
than 2% total additional loss.
APPLICATIONS INFORMATION
Figure 5. Power Loss vs Load Currrent
Efficiency Considerations
The percent efficiency of a switching regulator is equal to
the output power divided by the input power times 100%.
It is often useful to analyze individual losses to determine
what is limiting the efficiency and which change would
produce the most improvement. Percent efficiency can
be expressed as:
%Efficiency = 100% – (L1 + L2 + L3 + ...)
where L1, L2, etc. are the individual losses as a percent
-
age of input power.
Although all dissipative elements in the circuit produce
losses, four main sources usually account for most of
LOAD CURRENT (mA)
0.01
POWER LOSS (W)
0.1
0.1 10 100 100001000
3561A F01
0.001
1
1
V
IN
= 3.6V
V
OUT
= 1.2V TO 1.8V
f
O
= 1MHz
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APPLICATIONS INFORMATION
Thermal Considerations
In a majority of applications, the LTC3561A does not
dissipate much heat due to its high efficiency. However,
in applications where the LTC3561A is running at high
ambient temperature with low supply voltage and high
duty cycles, such as in dropout, the heat dissipated may
exceed the maximum junction temperature of the part. If
the junction temperature reaches approximately 150°C,
both power switches will be turned off and the SW node
will become high impedance.
To avoid the LTC3561A from exceeding the maximum junc
-
tion temperature, the user will need to do some thermal
analysis. The goal of the thermal analysis is to determine
whether the power dissipated exceeds the maximum
junction temperature of the part. The temperature rise is
given by:
T
RISE
= P
D
θ
JA
where P
D
is the power dissipated by the regulator and θ
JA
is the thermal resistance from the junction of the die to
the ambient temperature.
The junction temperature, T
J
, is given by:
T
J
= T
RISE
+ T
AMBIENT
As an example, consider the case when the LTC3561A
is in dropout at an input voltage of 3.3V with a load cur-
rent of 1A. From the Typical Performance Characteristics
graph of Switch Resistance, the R
DS(ON)
resistance of the
P-channel switch is 0.17Ω. Therefore, power dissipated
by the part is:
P
D
= I
2
• R
DS(ON)
= 170mW
The DD8 package junction-to-ambient thermal resistance,
θ
JA
, will be in the range of about 43°C/W. Therefore, the
junction temperature of the regulator operating in a 70°C
ambient temperature is approximately:
T
J
= 0.17 • 43 + 70 = 77.31°C
Remembering that the above junction temperature is
obtained from an R
DS(ON)
at 25°C, we might recalculate
the junction temperature based on a higher R
DS(ON)
since
it increases with temperature. However, we can safely as-
sume that the actual junction temperature will not exceed
the absolute maximum junction temperature of 125°C.
Design Example
As a design example, consider using the L
TC3561A in
a
portable application with a Li-Ion battery. The battery
provides a V
IN
= 2.5V to 4.2V. The load requirement is a
maximum of 1A, but most of the time it will be in standby
mode, requiring only 10mA. The output voltage is V
OUT
= 1.8V. Since the load still needs power in standby, Burst
Mode operation is selected for good low load efficiency.
First, calculate the timing resistor for 1MHz operation:
R
T
= 5 10
7
(10
3
)
–1.6508
= 557.9k
Use a standard value of 549k. Next, calculate the inductor
value for about 40% ripple current at maximum V
IN
:
L =
1.8V
1MHz 400mA
1
1.8V
4.2V
= 2.57µH
Choosing the closest inductor from a vendor of 2.2µH,
results in a maximum ripple current of:
ΔI
L
=
1.8V
1MHz 2.2µH
1
1.8V
4.2V
= 468mA
For cost reasons, a ceramic capacitor will be used. C
OUT
selection is then based on load step droop instead of ESR
requirements. For a 5% output droop:
C
OUT
2.5
1A
1MHz (5% 1.8V)
27µF

LTC3561AIDD#PBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Switching Voltage Regulators 1A, 4MHz, Sync Buck DC/DC Conv
Lifecycle:
New from this manufacturer.
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